my homework lesson 3 answer key grade 4

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Go Math Grade 4 Chapter 3 Answer Key Pdf Multiply 2-Digit Numbers

Go Math Grade 4 Chapter 3 Answer Key Pdf: Do you want real-time learning for your students? Then, you must follow Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers. The unlimited practice with different question types and detailed explanation. HMH Go Math Grade 4 Chapter 3 Multiply 2-Digit Numbers Answer Key is the guide for all students who want to achieve their top grades easily.

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Multiply 2-Digit Numbers Go Math Grade 4 Chapter 3 Answer Key Pdf

The chapter-wise questions and answers along with mid-chapter solutions and review test questions explanations are given. By solving with the HMH grade 4 Go Math Answer Key, students can get success in solving all kinds of Math problems efficiently. Every problem is mentioned in step-by-step solving. The concepts are very clear and included in an understandable way.

Lesson 1: Multiply by Tens

• Multiply by Tens – Page No. 149
• Multiply by Tens Lesson Check – Page No. 150

Lesson 2: Estimate Products

• Estimate Products – Page No. 153
• Estimate Products Lesson Check – Page No. 154
• Estimate Products Lesson Check 1 – Page No. 155
• Estimate Products Lesson Check 2 – Page No. 156

Lesson 3: Investigate • Area Models and Partial Products

• Area Models and Partial Products – Page No. 159
• Area Models and Partial Products Lesson Check – Page No. 160
• Area Models and Partial Products Lesson Check 1 – Page No. 161
• Area Models and Partial Products Lesson Check 2 – Page No. 162

Lesson 4: Multiply Using Partial Products

• Multiply Using Partial Products – Page No. 165
• Multiply Using Partial Products – Page No. 166
• Multiply Using Partial Products Lesson Check – 167
• Multiply Using Partial Products Lesson Check 1 – 168

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint – Page No. 169
• Mid-Chapter Checkpoint Lesson Check – Page No. 170
• Mid-Chapter Checkpoint Lesson Check 1 – Page No. 173
• Mid-Chapter Checkpoint Lesson Check 2 – Page No. 174

Lesson 5: Multiply with Regrouping

• Multiply with Regrouping – Page No. 175
• Multiply with Regrouping Lesson Check – Page No. 176

Lesson 6: Choose a Multiplication Method

• Choose a Multiplication Method – Page No. 179
• Choose a Multiplication Method Lesson Check – Page No. 180
• Choose a Multiplication Method Lesson Check 1 – Page No. 181
• Choose a Multiplication Method Lesson Check 2 – Page No. 182

Lesson 7: Problem Solving • Multiply 2-Digit Numbers

• Multiply 2-Digit Numbers – Page No. 185
• Multiply 2-Digit Numbers Lesson Check – Page No. 186
• Multiply 2-Digit Numbers Lesson Check 1 – Page No. 187
• Multiply 2-Digit Numbers Lesson Check 2 – Page No. 188

Review/Test

• Review/Test – Page No. 189
• Review/Test – Page No. 190
• Review/Test – Page No. 191
• Review/Test – Page No. 192
• Review/Test – Page No. 193
• Review/Test – Page No. 194
• Review/Test – Page No. 199
• Review/Test – Page No. 200

Common Core – Page No. 149

Multiply by Tens

Choose a method. Then find the product.

Question 1. 16 × 60 = 960 Use the halving-and-doubling strategy. Find half of 16: 16 ÷ 2 = 8. Multiply this number by 60: 8 × 60 = 480 Double this result: 2 × 480 = 960

Answer: 960

Explanation: Use the halving-and-doubling strategy. Find half of 16: 16 ÷ 2 = 8. Multiply this number by 60: 8 × 60 = 480 Double this result: 2 × 480 = 960

Question 2. 80 × 22 = ______

Answer: 1760

Explanation: By using the place value method, Multiply 80 x 22 You can think of 80 as 8 tens 80 x 22 = (22 x 8) tens = 176 tens = 176 x 10 = 1760 80 x 22 = 1760

Go Math Grade 4 Chapter 3 Lesson 3.1 Multiply by Tens Question 3. 30 × 52 = ______

Answer: 1560

Explanation: Use the Associative Property You can think of 30 as 3 x 10 30 x 52 = (3 x 10) x 52 = 3 x (10 x 52) =  3 x 520 = 1560 30 x 52 = 1560

Question 4. 60 × 20 = ______

Answer: 1200

Explanation: 60 x 20 Use the halving and doubling strategy half of the 60 to make the problem simpler 60/ 2 = 30 Multiply 30 with 20 30 x 20 = 600 Double the 600 2 x 600= 1200 60 x 20 = 1200

Question 5. 40 × 35 = ______

Answer: 1400

Explanation: By using the Associative Property 40 x 35 You can think of 40 as 4 x 10 40 x 35 = (4 x 10) x 35 = 4  x (10 x 35) = 4 x 350 = 1400 40 x 35 = 1400

Question 6. 10 × 90 = ______

Answer: 900

Explanation: By using the place value method, Multiply 10 x 90 You can think of 90 as 9 tens 10 x 90 = (10 x 9) tens = 90 tens = 10 x 90 = 900

Question 7. 31 × 50 = ______

Answer: 1,550

Explanation: Use the place value method to multiply 31 x 50 You can think of 50 as 5 tens 31 x 50 = 31 x 5 tens = 155 tens = 1,550 31 x 50 = 1,550

Problem Solving

Question 8. Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy? ______ cards

Answer: 240 cards

Explanation: From the given data, Kenny bought 20 packs of basketball cards There are 12 cards in each pack = 12 x 20 cards Use the associative property You can write 20 as 2 x 10 12 x 20 = 12 x (2 x 10) = (12 x 2) x 10 = (24) x 10 = 240 cards Kenny bought 240 cards

Question 9. The Hart family drove 10 hours to their vacation spot. They drove an average of 48 miles each hour. How many miles did they drive in all? ______ miles

Answer: 480 miles

Explanation: As per the given data, Hart family drove 10 hours to their vacation spot Average speed per each hour is = 48 miles Total miles = 48 x 10 Use the halving and doubling strategy Half of the 48 to make the problem simpler 48/ 2 = 24 Multiply 24 with 10 = 24x 10 = 240 Double the value = 2 x 240 = 480 miles Total miles drove by hart family = 480 miles.

Common Core – Page No. 150

Lesson Check

Question 1. For the school play, 40 rows of chairs are set up. There are 22 chairs in each row. How many chairs are there in all? Options: a. 800 b. 840 c. 880 d. 8,800

Answer: c. 880

Explanation: As per the given data For the school play, 40 rows of chairs are available. 22 chairs are available in each row. Then total chairs in school play are = 22 x 40 By using the place value method You can think of 40 as 4 tens 22 x 40 = 22 x 4 tens = 88 tens = 880 Total chairs in school are = 880

Question 2. At West School, there are 20 classrooms. Each classroom has 20 students. How many students are at West School? Options: a. 40 b. 400 c. 440 d. 4,000

Answer: b. 400

Explanation: From the given data, Total classrooms in west school = 20 Number of students per each classroom = 20 Then, total students at West School = 20 x 20 By using the associative property You can think of 20 as 2 x 10 20 x 20 = 20 x (2 x 10) = (20 x 2) x 10 =(40) x 10 =400 Total number of students at West School = 400

Spiral Review

Question 3. Alex has 48 stickers. This is 6 times the number of stickers Max has. How many stickers does Max have? Options: a. 6 b. 7 c. 8 d. 9

Answer: c. 8

Explanation: As per the give data, Alex has 48 stickers That means, X= 48 This is 6 times the number of stickers max has = Y = 6X = 48 Then, number of stickers with Max = Y = X = 48/6 = 8 Number of stickers with Max = Y = 8 Stickers.

Question 4. Ali’s dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali’s dog weigh? Options: a. 6 pounds b. 42 pounds c. 46 pounds d. 48 pounds

Answer: d. 48 pounds

Explanation: From the given data, Ali’s cat weight = X Ali’s dog weight = 8 times as much as Ali’s cat = 8X Together, the two pets weight = (X+8X) = 54 pounds = 9X = 54 pounds = X = 54/9 pounds = 6 pounds Then, Ali’s dog weight = 8X =8 x 6 = 48 pounds.

Question 5. Allison has 3 containers with 25 crayons in each. She also has 4 boxes of markers with 12 markers in each box. She gives 10 crayons to a friend. How many crayons and markers does Allison have now? Options: a. 34 b. 113 c. 123 d. 133

Answer: b. 113

Explanation: As per the given data, Allison has 3 containers with 25 crayons in each = X = 3 x 25 = 75 Allison has 4 boxes of markers with 12 markers in each box = Y = 4 x 12 = 48 Allison gives 10 crayons to a friend = Z = 75-10 = 65 Now, total number of crayons and markers with Allison = Y + Z = 48 + 65 = 113

Question 6. The state of Utah covers 82,144 square miles. The state of Montana covers 145,552 square miles. What is the total area of the two states? Options: a. 63,408 square miles b. 223,408 square miles c. 227,696 square miles d. 966,992 square miles

Answer: c. 227,696 square miles

Explanation: From the given data, The state of Utah covers 82,144 square miles The state of Montana covers 145,552 square miles Then, Total area of the two states = 82,144 + 145,552 The total area of two states = 227,696 square miles.

Page No. 153

Question 1. To estimate the product of 62 and 28 by rounding, how would you round the factors? What would the estimated product be? about _____

Answer: 1800

Estimate the product. Choose a method.

Question 2. 96 × 34 Estimate: _____

Answer: 3000

Go Math Chapter 3 Grade 4 Lesson 2 Estimate Products Question 3. 47 × $39 Estimate: $ _____

Answer: 2000

Question 4. 78 × 72 Estimate: _____

Answer: 5600

Question 5. 41 × 78 Estimate: _____

Answer: 3200

Question 6. 51 × 73 Estimate: _____

Answer: 3500

Question 7. 34 × 80 Estimate: _____

Answer: 2400

Practice: Copy and Solve Estimate the product. Choose a method.

Question 8. 61 × 31 Estimate: _____

Go Math Key Answers Estimate Products Lesson 3.2 Question 9. 52 × 68 Estimate: _____

Question 10. 26 × 44 Estimate: _____

Question 11. 57 × $69 Estimate: $ _____

Answer: $4200

Find two possible factors for the estimated product.

Question 12. 2,800 Type below: ___________

Answer: 2800

Explanation: Let us consider 7 x 4 = 28 70 x 40 = 2800

Question 13. 8,100 Type below: ___________

Answer: 8,100

Explanation: Let us take 9 x 9 = 81 90 x 90 = 8,100

Question 14. 5,600 Type below: ___________

Answer: 5,600

Explanation: Let us consider 7 x 8 = 56 70 x 80 = 5,600

Question 15. 2,400 Type below: ___________

Answer: 2,400

Explanation: Let us take 4 x 6 = 24 40 x 60 = 2400 Or 3 x 8 = 24 30 x 80 = 2,400

Question 16. Mr. Parker jogs for 35 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog? about _____ minutes

Answer: about 630 minutes

Explanation: From the given data, Mr. Parker jogs per day = 35 minutes He jogs 5 days in week 1 = 5 x 35 = 175 minutes 6 days in week 2 = 6 x 35 = 210 minutes 7 days in week 3 = 7 x 35 = 245 minutes Total minutes of jog by Mr. Parker = week 1 + week 2 + week 3 = 175 + 210 + 245 = 630 minutes So, total minutes of jog by Mr. Parker = 630 minutes

Question 17. There are 48 beads in a package. Candice bought 4 packages of blue, 9 packages of gold, 6 packages of red, and 2 packages of silver beads. About how many beads did Candice buy? about _____ beads

Answer: about 1008 beads

Explanation: As per the given data, 48 beads are there in a package Candice bought 4 packages of blue beads = 4 x 48 = 192 9 packages of gold beads = 9 x 48 = 432 6 packages of red beads = 6 x 48 = 288 2 packages of silver beads = 2 x 48 = 96 Total beads bought by Candice = 192 + 432 + 288 + 96 = 1008 beads So, total beads bought by Candice = 1008.

Page No. 154

Question 18. On average, a refrigerator door is opened 38 times each day. Len has two refrigerators in his house. Based on this average, about how many times in a 3-week period are the refrigerator doors opened? about _____ times

Answer: about 1600 times

Explanation: From the given data, On average, a refrigerator door is opened per day = 38 times 3-week period = 7 x 3 = 21 Then, a refrigerator door is opened per 21 days = 21 x 38 = 798 times Len has 2 refrigerators in his house Then, two refrigerators door are opened per 21 days = 2 x 798 = 1596 times So, in a 3 – week period refrigerator door is opened about 1600 times

Question 19. The cost to run a refrigerator is about $57 each year. About how much will it have cost to run by the time it is 15 years old? about $ _____

Question 20. If Mel opens his refrigerator door 36 times every day, about how many times will it be opened in April? Will the exact answer be more than or less than the estimate? Explain. Type below: ___________

Go Math Grade 4 Chapter 3 Test Question 21. Represent a Problem What question could you write for this answer? The estimated product of two numbers, that are not multiples of ten, is 2,800. Type below: ___________

Explanation: Let us take 1. 38 × 21 ↓        ↓ 40 × 20 = 800 2,800 = 42 x 68 ↓    ↓ 40 x  70 = 2800

Answer: 25 x 50 = 1250 30 x 20 = 600 20 x 20 = 400 50 x 25 = 1250

Explanation: 26 x 48 -> 25 x 50 = 1250 28 x 21 -> 30 x 20 = 600 21 x 22 -> 20 x 20 = 400 51 x 26 -> 50 x 25 = 1250

Common Core – Page No. 155

Estimate Products Estimate the product. Choose a method.

Question 1. 38 × 21 38 × 21 ↓       ↓ 40 × 20 800

Answer: 800

Explanation: 38 × 21 ↓        ↓ 40 × 20 800

Question 2. 63 × 19 Estimate: _____

Question 3. 27 × $42 Estimate: $ _____

Answer: $1000

Question 4. 73 × 67 Estimate: _____

Answer: 4900

Question 5. 37 × $44 Estimate:$ _____

Answer: $1600

Question 6. 85 × 71 Estimate: _____

Answer: 6300

Question 7. 88 × 56 Estimate: _____

Answer: 4950

Question 8. 97 × 13 Estimate: _____

Answer: 1,000

Question 9. 92 × 64 Estimate: _____

Answer: 5850

Question 10. A dime has a diameter of about 18 millimeters. About how many millimeters long would a row of 34 dimes be? about _____ millimeters

Answer: about 600 millimeters

Go Math Grade 4 Chapter 3 Mid Chapter Checkpoint Question 11. A half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be? about _____ millimeters

Answer: 1800 millimeters

Common Core – Page No. 156

Question 1. Which is the best estimate for the product 43 × 68? Options: a. 3,500 b. 2,800 c. 2,400 d. 280

Answer: b. 2,800

Question 2. Marissa burns 93 calories each time she plays fetch with her dog. She plays fetch with her dog once a day. About how many calories will Marissa burn playing fetch with her dog in 28 days? Options: a. 4,000 b. 2,700 c. 2,000 d. 270

Answer: b. 2,700

Answer: b. 378

Explanation: From the above Figure, 3 x 126 = 3 x 100 + 3 x 20 + 3 x 6 = 300 + 60 + 18 = 378 3 x 126 = 378

Question 4. A store sells a certain brand of jeans for $38. One day, the store sold 6 pairs of jeans of that brand. How much money did the store make from selling the 6 pairs of jeans? Options: a. $188 b. $228 c. $248 d. $288

Answer: b. $228

Explanation: As per the given data, A store sells a certain brand of jeans for rupees = $38 One day, the store sold 6 pairs of jeans of that brand = 6 x $38 6 x $38 = $228 The total amount of 6 pairs of jeans = $228

Question 5. The Gateway Arch in St. Louis, Missouri, weighs about 20,000 tons. Which amount could be the exact number of tons the Arch weighs? Options: a. 31,093 tons b. 25,812 tons c. 17,246 tons d. 14,096 tons

Answer: c. 17,246 tons

Explanation: From the given data, The Gateway Arch in St.Louis, Missouri weight = about 20,000 tons From the available options, 17,246 tons is closer to 20,000 tons Then, the exact number of tons the Arch weighs = 17,246 tons

Question 6. Which is another name for 23 ten thousands? Options: a. 23,000,000 b. 2,300,000 c. 230,000 d. 23,000

Answer: c. 230,000

Explanation: As per the data, Another name for 23 ten thousands = 23 x 10,000 = 230,000 Another name for 23 ten thousand = 2,30,000

Page No. 159

Find the product.

Answer: 304

Answer: 468

Answer: 1,053

Draw a model to represent the product. Then record the product.

Question 4. 14 × 16 = ______

Answer: 224

Question 5. 23 × 25 = ______

Answer: 575

Question 6. Explain how modeling partial products can be used to find the products of greater numbers. Type below: __________

Answer: You can use mental math to find the partial products and then find the sum of the partial products.

Explanation:

Question 7. Emma bought 16 packages of rolls for a party. There were 12 rolls in a package. After the party there were 8 rolls left over. How many rolls were eaten? Explain. ______ rolls

Answer: 184 rolls were eaten

Page No. 160

Answer: a. Jamal’s work makes nonsense. 100 + 20 + 50 + 10 = 180 it makes sense

Answer: Other method: 12 x 15 10 x 12 = 120 5 x 12 = 60 120 + 60 = 180.

Explanation: Kim follows another method to find 12 x 15 That is, 100 + 50 = 150 20 + 10 = 30 Then, 150 + 30 =180 12 x 15 = 180

Question 9. Look at the model in 8b. How would the partial products change if the product was 22 × 15? Explain why you think the products changed. Type below: __________

Answer: 330

Common Core – Page No. 161

Area Models and Partial Products

Question 2. 18 × 34 = ______

Question 3. 22 × 26 = ______

Question 4. 1 5 × 33 = ______

Question 5. 23 × 29 = ______

Question 6. 19 × 36 = ______

Answer: b. no

Question 8. Each student in Ms. Sike’s kindergarten class has a box of crayons. Each box has 36 crayons. If there are 18 students in Ms. Sike’s class, how many crayons are there in all? ______ crayons

Answer: 648 crayons

Common Core – Page No. 162

Answer: d. 391

Explanation: 200 + 30 + 140 + 21 = 391 17 x 23 = 391

Answer: b. 225

Explanation: 130 + 20 + 65 + 10 = 225 15 x 15 = 225

Question 3. Mariah builds a tabletop using square tiles. There are 12 rows of tiles and 30 tiles in each row. How many tiles in all does Mariah use? Options: a. 100 b. 180 c. 360 d. 420

Answer: c. 360

Explanation: From the given data, Mariah builds a tabletop using square tiles The square contains 12 rows of tiles and 30 tiles in each row = 12 x 30 12 x 30 = 360 tiles Total tiles used by Mariah = 360 tiles

Go Math Answer Key Chapter 3 Review Test Answer Key Question 4. Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a jar. How many biscuits does Trevor put in the jar? Options: a. 112 b. 80 c. 50 d. 32

Answer: b. 80

Explanation: As per the given data, Number of biscuits baked by Trevor = 8 batches Number of biscuits in each batch = 14 biscuits So, total biscuits = 14 x 8 = 112 Trevor sets aside 4 biscuits from each batch for a bake = 8*4 = 32 biscuits are aside for a bake Trevor kept rest of biscuits in a jar = 112 – 32 = 80 So, 80 biscuits are put in the jar by the Trevor

Question 5. Li feeds her dog 3 cups of food each day. About how many cups of food does her dog eat in 28 days? Options: a. 60 cups b. 70 cups c. 80 cups d. 90 cups

Answer: c. 80 cups

Explanation: As per the given data, Li feeds her dog per day = 3 cups of food Then, Li feeds her dog for 28 days = 3 x 28 = 84 cups of food So, Li feeds her dog with 84 cups of food in 28 days

Question 6. Which symbol makes the number sentence true? 4 ■ 0 = 0 Options: a. + b. – c. × d. ÷

Answer: c. ×

Explanation: 4 x 0 = 0

Page No. 165

Answer: 816

Question 2. 1 2 × 1 2 ——– _____

Answer: 144

Question 3. 3 1 × 2 4 ——- _____

Answer: 744

Question 4. 2 5 × 4 3 ——- _____

Answer: 1,075

Multiply Using Partial Products Lesson 3.4 Answer Key Question 5. 3 7 × 2 4 ——- _____

Answer: 888

Question 6. 5 4 × 1 5 ——- _____

Answer: 810

Question 7. 8 7 × 1 6 ——- _____

Answer: 1,392

Question 8. 6 2 × 5 6 ——- _____

Answer: 3,472

Question 9. 4 9 × 6 3 ——- _____

Answer: 3,087

Practice: Copy and Solve Record the product.

Question 10. 38 × 47 _____

Answer: 1,786

Question 11. 46 × 27 _____

Answer: 1,242

Question 12. 72 × 53 _____

Answer: 3,816

Question 13. 98 × 69 _____

Answer: 6,762

Multiply Using Partial Products Lesson 3.4 Question 14. 53 × 68 _____

Answer: 3,604

Question 15. 76 × 84 _____

Answer: 6,384

Question 16. 92 × 48 _____

Answer: 4,416

Question 17. 37 × 79 _____

Answer: 2,923

Reason Abstractly Algebra Find the unknown digits. Complete the problem.

Answer: 1,824

Answer: 7,954

Answer: 1,908

Answer: 952

Page No. 166

Question 22. Use Graphs A fruit-packing warehouse is shipping 15 boxes of grapefruit to a store in Santa Rosa, California. What is the total weight of the shipment? ______ pounds

Answer: 1275 pounds

Question 23. How much less do 13 boxes of tangelos weigh than 18 boxes of tangerines? ______ pounds

Answer: 450 pounds

Question 24. What is the weight of 12 boxes of oranges? ______ pounds

Answer: 1,080 pounds

Question 25. Each person in the United States eats about 65 fresh apples each year. Based on this estimate, how many apples do 3 families of 4 eat each year? ______ apples

Answer: 780 apples

Question 26. The product 26 × 93 is greater than 25 × 93. How much greater? Explain how you know without multiplying. ______

Answer: The difference is 93 26 x 93 is one more group of 93 than 25 x 93

Common Core – Page No. 167

Multiply Using Partial Products

Record the product.

Question 1. 2 3 × 7 9 ——— 1, 4 0 0 2 1 0 1 8 0 + 2 7 ——– 1, 8 1 7

Answer: 1, 8 1 7

Explanation: 2 3 × 7 9 ——— 1, 4 0 0 2 1 0 1 8 0 + 2 7 ——– 1, 8 1 7

Question 2. 5 6 × 3 2 ——- _______

Answer: 1,792

Question 3. 8 7 × 6 4 ——- _______

Answer: 5,568

Question 4. 3 3 × 2 5 ——- _______

Answer: 825

Question 5. 9 4 × 1 2 ——- _______

Answer: 1,128

Question 6. 5 1 × 7 7 ——- _______

Answer: 3,927

Question 7. 6 9 × 4 9 ——- _______

Answer: 3,381

Question 8. 8 6 × 8 4 ——- _______

Answer: 7,224

Question 9. 9 8 × 4 2 ——- _______

Answer: 4,116

Question 10. 7 3 × 3 7 ——- _______

Answer: 2,701

Question 11. 8 5 × 5 1 ——- _______

Answer: 4,335

Question 12. Evelyn drinks 8 glasses of water a day, which is 56 glasses of water a week. How many glasses of water does she drink in a year? (1 year = 52 weeks) _______ glasses

Answer: 2,912 glasses

Multiply Using Partial Products Lesson 3.4 Answer Key Question 13. Joe wants to use the Hiking Club’s funds to purchase new walking sticks for each of its 19 members. The sticks cost $26 each. The club has $480. Is this enough money to buy each member a new walking stick? If not, how much more money is needed? Is the money enough? _______ How much more is needed? _______

Answer: This amount is not enough to buy walking sticks Still, $14 amount is needed to buy walking sticks

Common Core – Page No. 168

Question 1. A carnival snack booth made $76 selling popcorn in one day. It made 22 times as much selling cotton candy. How much money did the snack booth make selling cotton candy? Options: a. $284 b. $304 c. $1,562 d. $1,672

Answer: d. $1,672

Question 2. What are the partial products of 42 × 28? Options: a. 800, 80, 40, 16 b. 800, 16 c. 800, 40, 320, 16 d. 80, 16

Answer: c. 800, 40, 320, 16

Question 3. Last year, the city library collected 117 used books for its shelves. This year, it collected 3 times as many books. How many books did it collect this year? Options: a. 832 b. 428 c. 351 d. 72

Answer: c. 351

Explanation: From the given data, Last year, the number of used books collected by city library by its shelves = 117 books This year, it collected 3 times as many books = 3 x 117 =351 books Total number of books collected by the city library for this year = 351 books

Question 4. Washington Elementary has 232 students. Washington High has 6 times as many students. How many students does Washington High have? Options: a. 1,392 b. 1,382 c. 1,292 d. 1,281

Answer: a. 1,392

Explanation: As per the given data, The number of students in Washington elementary = 232 students Washington High has 6 times as many students = 6 x 232 = 1392 Total number of students in Washington High = 1392 students

Question 5. What are the partial products of 35 × 7? Options: a. 10, 12 b. 21, 35 c. 210, 35 d. 350, 21

Answer: c. 210, 35

Explanation: Partial products of 35 x 7 are 210, 35

Question 6. Shelby has ten $5 bills and thirteen $10 bills. How much money does Shelby have in all? Options: a. $15 b. $60 c. $63 d. $180

Answer: d. $180

Explanation: From the given data, Shelby has ten $5 bills and thirteen $10 bills = (10 x $5) + (13 x $10) = ($50) + ($130) =$180 Total money with Shelby = $180

Page No. 169

Question 1. Explain how to find 40 × 50 using mental math. Type below: __________

Answer: 200

Explanation: 40 x 50 By using mental math 4 x 5 = 20 40 x 50 = 200

Question 2. What is the first step in estimating 56 × 27? Type below: __________

Answer: 18 centimeters

Explanation: Round to the nearest values. So, the first step of the estimated 56 x 27 is rounding to the nearest values that is 60 x 30

Question 3. 35 × 10 = _____

Answer: 350

Explanation: By using the place value method You can take 10 as 1 ten 35 x 10 = 35 x 1 ten = 35 ten 35 x 10 = 350

Question 4. 19 × 20 = _____

Answer: 380

Explanation: 19 x 20 By using the associative property You can think of 20 as (2 x 10) 19 x 20 = 19 x (2 x 10) = (19 x 2) x 10 = 38 x 10 19 x 20 = 380

Question 5. 12 × 80 = _____

Explanation: Use the halving and doubling strategy half of the 80 to make the problem simpler 80/ 2 = 40 Multiply 40 with 12 40*12 = 480 Double the 480 2*480= 960 12*80 = 960

Question 6. 70 × 50 = _____

Answer: 3,500

Explanation: 70 x 50 By using the place value method You can take 50 as 5 tens 70 x 50 = 70 x 5 tens = 350 tens 70 x 50 = 3,500

Question 7. 58 × 40 = _____

Answer: 2,320

Explanation: By using the associative property You can think of 40 as (4 x 10) 58 x 40 = 58 x (4 x 10) = (58 x 4) x 10 = 232 x 10 58 x 40 = 2,320

Question 8. 30 × 40 = _____

Answer: 1,200

Explanation: Use the halving and doubling strategy half of the 40 to make the problem simpler 40/ 2 = 20 Multiply 20 with 30 20*30 = 600 Double the 600 2*600= 1200 30*40 = 1,200

Question 9. 14 × 60 = _____

Answer: 840

Explanation: By using the place value method You can take 60 as 6 tens 14 x 60 = 14 x 6 tens = 84 tens 14 x 60 = 840

Question 10. 20 × 30 = _____

Answer: 600

Explanation: By using the associative property You can think of 30 as (3 x 10) 20 x 30 = 20 x (3 x 10) = (20 x 3) x 10 = 60 x 10 20 x 30 = 600

Question 11. 16 × 90 = _____

Answer: 1,440

Explanation: Use the halving and doubling strategy half of the 90 to make the problem simpler 90/ 2 = 45 Multiply 45 with 16 16*45 = 720 Double the 720 2*720= 1440 16*90 = 1,440

Question 12. 81 × 38 Estimate: _____

Answer: 3,200

Explanation: Round to the nearest tens. 81 is close to 80; 38 is close to 40; 80 x 40 = 3,200

Question 13. 16 × $59 Estimate: $ _____

Answer: $120

Explanation: Round to the nearest tens. 16 is close to 20; $59 is close to $60; Use the mental math to find the product of 20 x $60 2 x $6 = $12 20 x $60 = $120 Estimated product of 16 x $59 = $120

Question 14. 43 × 25 Estimate: _____

Explanation: Round to the nearest tens. 43 is close to 40; 25 is close to 25; 40 x 25 = 1000 Estimated product of 43 x 25 = 1,000

Question 15. 76 × 45 Estimate: _____

Explanation: Round to the nearest tens. 76 is close to 80; 45 is close to 40; Use the mental math 8 x 4 = 32 80 x 40 = 3200 So, the estimated product of 76 x 45 = 3,200

Question 16. 65 × $79 Estimate: _____

Answer: $4,800

Explanation: Round to the nearest tens. 65 is close to 60; $79 is close to $80; Use the mental math 6 x $8 = $48 60 x $80 = $4800 So, estimated product of 65 x $79 = $4,800

Question 17. 92 × 38 Estimate: _____

Answer: 3,600

Explanation: Round to the nearest tens. 92 is close to 90; 38 is close to 40; Use the mental math, then 9 x 4 = 36 90 x 40 = 3,600 So, estimated product of 92 x 38 = 3,600

Question 18. 37 × 31 Estimate: _____

Explanation: Round to the nearest tens. 37 is close to 40; 31 is close to 30; Use the mental math, then 4 x 3 = 12 40 x 30 = 1,200 So, estimated product of 37 x 31 = 1,200

Question 19. 26 × $59 Estimate: _____

Answer: $1,800

Explanation: Round to the nearest tens. 26 is close to 30; $59 is close to $60; Use the mental math, then 3 x $6 = $18 30 x $60 = $1,800 So, estimated product of 26 x $59 = $1,800

Question 20. 54 × 26 Estimate: _____

Explanation: Round to the nearest tens. 54 is close to 50; 26 is close to 30; Use the mental math 5 x 3 = 15 50 x 30 = 1,500 So, estimated product of 54 x 26 = 1,500

Question 21. 52 × 87 Estimate: _____

Answer: 4,500

Explanation: Round to the nearest tens. 52 is close to 50; 87 is close to 90; Use the mental math 5 x 9 = 45 50 x 90 = 4500 So, estimated product of 52 x 87 = 4,500

Question 22. 39 × 27 Estimate: _____

Explanation: Round to the nearest tens. 39 is close to 40; 27 is close to 30; Use the mental math 4 x 3 = 12 40 x 30 = 1,200 So, estimated product of 39 x 27 = 1,200

Question 23. 63 × 58 Estimate: _____

Explanation: Round to the nearest tens. 63 is close to 60; 58 is close to 60; Use the mental math 6 x 6 = 36 60 x 60 = 3,600 So, estimated product of 63 x 58 = 3,600

Page No. 170

Question 24. Ms. Traynor’s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. What is a good estimate for the cost of the students’ field trip? Type below: __________

Explanation: As per the given data, Ms. Traynor’s class is taking a field trip to the zoo Cost of the trip for each student = $26 Total number of students in her class = 22 The total cost of the trip for students = $26 x 22 Round to the nearest tens. 26 is close to 30; 22 is close to 20; Use the mental math $3 x 2 = $6 $30 x 20 = $600 Then, the total estimated cost for the trip for students = $600

Answer: 400

Explanation: An unknown number is 50 x 8 = 400

Question 26. What are the partial products that result from multiplying 15 × 32? Type below: __________

Answer: Partial products are 300, 150, 20, 10

Question 27. A city bus company sold 39 one-way tickets and 20 round-trip tickets from West Elmwood to East Elmwood. One-way tickets cost $14. Round trip tickets cost $25. How much money did the bus company collect? $ ______

Answer: $1,046

Explanation: As per the given data, Number of one – way tickets sold by the city bus company = 39 Round trip tickets from west Elmwood to east Elmwood = 20 Cost of one – way tickets = $14 Then, cost of 39 one – way tickets = 39 x $14 =$546 Cost of round trip tickets = $25 Then, cost of 20 round trip tickets = $25 x 20 = $500 Total money collected by the city bus company = $546 + $500 = $1,046

Page No. 173

Answer: Multiply 27 and 0 to get 0. Multiply 27 and 6 to get 1,620. Add the partial products. 0 + 1,620 = 1,620.

Estimate. Then find the product.

Question 2. 6 8 × 5 3 ——- Estimate: _________ Product: __________

Answer: Estimate: 3,500 Product: 3,604

Explanation: 68 is closer to 70 and 53 is closer to 50 Estimate: 70 x 50 = 3,500 60 x 53 = 3180 8 x 53 = 424 3180 + 424 = 3604 Product 3,604

Question 3. 6 1 × 5 4 ——- Estimate: _________ Product: __________

Answer: Estimate: 3,000 Product: 3,294

Explanation: 61 is closer to 60 and 54 is closer to 50 Estimate: 60 x 50 = 3,000 60 x 54 = 3240 1 x 54 = 54 3240 + 54 = 3294 Product 3,294

Question 4. 9 0 × 2 7 ——- Estimate: _________ Product: __________

Answer: Estimate: 2,700 Product: 2,430

Explanation: 27 is closer to 30 Estimate: 90 x 30 = 2,700 90 x 27 = 2430 Product 2,430

Question 5. 3 0 × 4 7 ——- Estimate: _________ Product: __________

Answer: Estimate: 1,500 Product: 1,410

Explanation: 47 is closer to 50 Estimate: 30 x 50 = 1,500 30 x 47 = 1410 Product 1,410

Question 6. 7 8 × 5 6 ——- Estimate: _________ Product: __________

Answer: Estimate: 4,800 Product: 4,368

Explanation: 78 is closer to 80 and 56 is closer to 60 Estimate: 80 x 60 = 4,800 70 x 56 = 3920 8 x 56 = 448 3920 + 448 = 4368 Product 4,368

Question 7. 2 7 × 2 5 ——- Estimate: _________ Product: __________

Answer: Estimate: 600 Product: 675

Explanation: 27 is closer to 30 and 25 is closer to 20 Estimate: 30 x 20 = 600 20 x 25 = 500 7 x 25 = 175 500 + 175 = 675 Product 675

Practice: Copy and Solve Estimate. Then find the product.

Question 8. 34 × 65 Estimate: _________ Product: __________

Answer: Estimate: 1,800 Product: 2,210

Explanation: 34 is closer to 30 and 65 is closer to 60 Estimate: 30 x 60 = 1,800 30 x 65 = 1950 4 x 65 = 260 1950 + 260 = 2210 Product 2,210

Question 9. 42 × $13 Estimate: $ _________ Product: $ _________

Answer: Estimate: $400 Product: $546

Explanation: 42 is closer to 40 and 13 is closer to 10 Estimate: 40 x 10 = 400 40 x $13 = $520 2 x $13= $26 $520 + $26 = $546 Product $546

Question 10. 60 × 17 Estimate: _________ Product: __________

Answer: Estimate: 1,200 Product: 1,020

Explanation: 17 is closer to 20 Estimate: 60 x 20 = 1,200 60 x 17 = 1020 Product = 1,020

Question 11. 62 × 45 Estimate: _________ Product: __________

Answer: Estimate: 2,400 Product: 2,790

Explanation: 62 is closer to 60 and 45 is closer to 40 Estimate: 60 x 40 = 2,400 60 x 45 = 2700 2 x 45= 90 2700 + 90 = 2790 Product 2,790

Question 12. 57 × $98 Estimate: $ _________ Product: $ _________

Answer: Estimate: 6,000 Product: 5,586

Explanation: 57 is closer to 60 and 98 is closer to 100 Estimate: 60 x 100 = 6,000 50 x 98 = 4900 7 x 98= 686 4900 + 686 = 5586 Product 5,586

Look for a Pattern Algebra Write a rule for the pattern. Use your rule to find the unknown numbers.

Explanation: 1 hour = 60 min Then, 5hr = 5 x 60 = 300 min 10hr = 10 x 60 = 600 min 15hr = 15 x 60 = 900 min 20hr = 20 x 60 = 1200 min 25hr = 25 x 60 = 1500 min

Question 14. Owners of a summer camp are buying new cots for their cabins. There are 16 cabins. Each cabin needs 6 cots. Each cot costs $92. How much will the new cots cost? $ _______

Answer: $8,832

Explanation: As per the given data, Owners pf a summer camp are buying new cots for their cabins Number of cabins = 16 Each cabin needs 6 cots Then, total cots = 16 x 6 = 96 Each cot cost = $92 Then, cost for total cots = $92 x 96 92 is closer to 90 and 96 is closer to 100 Estimate = 90 x 100 = 9,000 90 x 96 = 8640 2 x 96 = 192 8640 + 192 = 8832 Product = 8,832

Question 15. A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs. How many seats does the theater have? ______ seats

Answer: 1,428 seats

Explanation: As per the given data, A theatre has 28 rows of 38 seats downstairs = 28 x 38 = 1064 14 rows of 26 seats upstairs = 14 x 26 = 364 Total number of seats = 1064 + 364 = 1,428 seats

Page No. 174

Answer: number of bottles labeled by Machine A and Machine B in 15 minutes

Question 16. b. What numbers will you use? Type below: __________

Answer: 15x 11 and 15 x 12

Question 16. c. Tell why you might use more than one operation to solve the problem. Type below: __________

Answer: To find out the total number of bottle made by both machines A & B

Question 16. d. Solve the problem. So, both machines can label ____ bottles in ____ minutes. Type below: __________

Answer: Machine A can label 11 bottles in 1 minute Then, the number of bottles labeled by machine A in 15 minutes = 15 x 11 = 165 Machine B can label 12 bottles in 1 minute Then, number of bottles labelled by Machine B in 15 minutes = 15 x 12 = 180 Total bottles labelled by both the machines in 15 minutes = 165 + 180 = 345

Question 17. Make Sense of Problems A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can 19 cartons hold? ______ blocks

Answer: 1,615 blocks

Explanation: From the given data, A toy company makes wooden blocks A carton holds 85 blocks Then, number of blocks hold by 19 cartons = 19 x 85 = 1615 Total number of blocks held by 19 cartons = 1,615

Question 18. A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded on a truck. How many more candles are left to load on the truck? ______ candles

Answer: 1,500 candles

Explanation: As per the given data, A company is packing cartons of candles Each carton can hold 75 candles Then, number of candles hold by 50 cartons = 50 x 75 = 3750 Number of candles hold by 30 cartons = 30 x 75 = 2250 50 cartons have been packed, but only 30 cartons have been loaded on a truck Remaining candles are left to load on truck = 3750 – 2250 = 1,500

Question 19. Mr. Garcia’s class raised money for a field trip to the zoo. There are 23 students in his class. The cost of the trip will be $17 for each student. What is the cost for all the students? Explain how you found your answer. $ ______

Answer: $391

Explanation: As per the given data, Mr. Garcia’s class raised money for a field trip to the zoo Total number of students in his class = 23 students Cost of the trip for each student = $17 Then, total cost for all the students = $17 x 23 = $391

Common Core – Page No. 175

Multiply with Regrouping Estimate. Then find the product.

Answer: 2,784

Question 2. 7 3 × 2 8 ——– Estimate: ______ Product: _______

Answer: Estimate: 2,100 Product: 2,044

Explanation: Estimate: 73 is close to 70; 28 is close to 30. So, 70 x 30 = 2,100. Product: Write 73 as 7 tens and 3 ones. Multiply 28 by 3 ones. 2 28 x 73 ——– 84 <– 3 x 28 Multiply 28 by 7 tens 5 28 x 73 ——– 1960 <– 70 x 28 Add the partial products. 84 + 1960 = 2,044. So, 73 x 28 = 2,044.

Go Math Grade 4 Chapter 3 Answer Key Pdf Question 3. 4 8 × 3 8 ——– Estimate: ______ Product: _______

Answer: Estimate: 2,000 Product: 1,824

Explanation: 48 is close to 50 and 38 is close to 40. Estimate: 50 × 40 = 2,000 40 x 38 = 1520 8 x 38 = 304 1520 + 304 = 1824. Product: 1,824

Question 4. 5 9 × 5 2 ——– Estimate: ______ Product: _______

Answer: Estimate: 3,000 Product: 3,068

Explanation: 59 is close to 60 and 52 is close to 50. Estimate: 60 × 50 = 3,000 50 x 52 = 2600 9 x 52 = 468 2600 + 468 = 3068. Product: 3,068.

Question 5. 8 4 × 4 0 ——– Estimate: ______ Product: _______

Answer: Estimate: 3,200 Product: 3,360

Explanation: 84 is close to 80 and 40 is close to 40. Estimate: 80 × 40 = 3,200 80 x 40 = 3,200 4 x 40 = 160 3200 + 160 = 3,360. Product: 3,360.

Question 6. 8 3 × 7 7 ——– Estimate: ______ Product: _______

Answer: Estimate: 6,400 Product: 6,391

Explanation: 83 is close to 80 and 77 is close to 80. Estimate: 80 × 80 = 6,400 80 x 77 = 6,160 3 x 77 = 231 6,160 + 231 = 6,391. Product: 6,391.

Question 7. 9 1 × 1 9 ——– Estimate: ______ Product: _______

Answer: Estimate: 1,800 Product: 1,729

Explanation: 91 is close to 90 and 19 is close to 20. Estimate: 90 × 20 = 1,800 90 x 19 = 1,710 1 x 19 = 19 1,710+ 19 = 1,729. Product: 1,729.

Question 8. Baseballs come in cartons of 84 baseballs. A team orders 18 cartons of baseballs. How many baseballs does the team order? _______ baseballs

Answer: 1,512 baseballs

Explanation: To find total baseballs, 84 x 18 80 x 18 = 1,440 4 x 18 = 72 84 x 18 = 1,512

Question 9. There are 16 tables in the school lunch room. Each table can seat 22 students. How many students can be seated at lunch at one time? _______ students

Answer: 352 students

Explanation: Total Students = 16 x 22 10 x 22 = 220 6 x 22 = 132 220 + 132 = 352. 352 students can be seated at lunch at one time

Common Core – Page No. 176

Question 1. The art teacher has 48 boxes of crayons. There are 64 crayons in each box. Which is the best estimate of the number of crayons the art teacher has? Options: a. 2,400 b. 2,800 c. 3,000 d. 3,500

Answer: c. 3,000

Explanation: 1. Total number of crayons = 48 x 64 48 is close to 50; 64 is close to 60 50 x 60 = 3,000. The art teacher has about to 3, 000 crayons.

Question 2. A basketball team scored an average of 52 points in each of 15 games. How many points did the team score in all? Options: a. 500 b. 312 c. 780 d. 1,000

Answer: c. 780

Explanation: Total Points = 52 x 15 50 x 15 = 750 2 x 15 = 30 750 + 30 = 780. The basketball team scored 780 points in total.

Question 3. One Saturday, an orchard sold 83 bags of apples. There are 27 apples in each bag. Which expression represents the total number of apples sold? Options: a. 16 + 6 + 56 + 21 b. 160 + 60 + 56 + 21 c. 160 + 60 + 560 + 21 d. 1,600 + 60 + 560 + 21

Answer: d. 1,600 + 60 + 560 + 21

Explanation: Total number of apples sold = 83 x 27 80 x 27 = 2,160 3 x 27 = 81 2,160 + 81 = 2,241. The total number of apples sold = 2,241. 16 + 6 + 56 + 21 = 99 not equal to 2,241 160 + 60 + 56 + 21 = 297 not equal to 2,241 160 + 60 + 560 + 21 = 801 not equal to 2,241 1,600 + 60 + 560 + 21 = 2,241 equal to 2,241 1,600 + 60 + 560 + 21 = 2,241 is correct.

Question 4. Hannah has a grid of squares that has 12 rows with 15 squares in each row. She colors 5 rows of 8 squares in the middle of the grid blue. She colors the rest of the squares red. How many squares does Hannah color red? Options: a. 40 b. 140 c. 180 d. 220

Answer: b. 140

Explanation: Hannah has a grid of squares that has 12 rows with 15 squares in each row = 12 x 15 = 180. The grid of squares in blue = 5 x 8 = 40. The grid of squares in red = 180 – 40 = 140.

Question 5. Gabriella has 4 times as many erasers a Leona. Leona has 8 erasers. How many erasers does Gabriella have? Options: a. 32 b. 24 c. 12 d. 2

Answer: a. 32

Explanation: Gabriella have 4 x 8 = 32 erasers.

Question 6. Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter? Options: a. 36 b. 24 c. 16 d. 12

Answer: b. 24

Explanation: Phil has 3 times as many rocks as Peter. Together, they have 48 rocks If Peter has x rocks, Phil has 3x rocks 3x + x = 48. 4x = 48. x = 48/4 = 12. Peter has 12 rocks. Phil has 3 x 12 = 36 rocks. Phil has 36 – 12 = 24 more rocks than Peter.

Page No. 179

Answer: Estimate: 1,500 Product: 1,566

Explanation: 54 x 29 Estimate: Think 54 is close to 50; 29 is close to 30. 50 x 30 = 1,500 Product: 20 x 5 tens = 100 tens 20 x 4 ones = 80 ones 9 x 5 tens = 45 tens 9 x 4 ones = 36 ones. Add partial products. 1000 + 80 + 450 + 36 = 1,566.

Estimate. Then choose a method to find the product.

Question 2. 3 6 × 1 4 ——- Estimate: ______ Product: _______

Answer: Estimate: 400 Product: 504

Explanation: 36 x 14 Estimate: Think 36 is close to 40; 14 is close to 10. 40 x 10 = 400 Product: 10 x 3 tens = 30 tens 10 x 6 ones = 60 ones 4 x 3 tens = 12 tens 4 x 6 ones = 24 ones. Add partial products. 300 + 60 + 120 + 24 = 504.

Go Math Grade 4 Chapter 3 Answer Key Question 3. 6 3 × 4 2 ——- Estimate: ______ Product: _______

Answer: Estimate: 2,400 Product: 2646

Explanation: 63 x 42 Estimate: Think 63 is close to 60; 42 is close to 40. 60 x 40 = 2400 Product: 40 x 6 tens = 240 tens 40 x 3 ones = 120 ones 2 x 6 tens = 12 tens 2 x 3 ones = 6 ones. Add partial products. 2400 + 120 + 120 + 6 = 2646.

Question 4. 8 4 × 5 3 ——- Estimate: ______ Product: _______

Answer: Estimate: 4,000 Product: 4,452

Explanation: 84 x 53 Estimate: Think 84 is close to 80; 53 is close to 50. 80 x 50 = 4,000 Product: 50 x 8 tens = 400 tens 50 x 4 ones = 200 ones 3 x 8 tens = 24 tens 3 x 4 ones = 12 ones. Add partial products. 4000 + 200 + 240 + 12 = 4,452.

Question 5. 7 1 × 1 3 ——- Estimate: ______ Product: _______

Answer: Estimate: 700 Product: 923

Explanation: 71 x 13 Estimate: Think 71 is close to 70; 13 is close to 10. 70 x 10 = 700 Product: 10 x 7 tens = 70 tens 10 x 1 ones = 10 ones 3 x 7 tens = 21 tens 3 x 1 ones = 3 ones. Add partial products. 700 + 10 + 210 + 3 = 923.

Practice: Copy and Solve Estimate. Find the product.

Question 6. 29 × $82 Estimate: $ _______ Product: $ _______

Answer: Estimate: $2,400 Product: $2,378

Explanation: 29 x $82 Estimate: Think 29 is close to 30; $82 is close to $80. 30 x $80 = $2,400 Product: $80 x 2 tens = $160 tens $80 x 9 ones = $720 ones $2 x 2 tens = $4 tens $2 x 9 ones = $18 ones. Add partial products. $1600 + $720 + $40 + $18 = $2,378.

Question 7. 57 × 79 Estimate: _______ Product: _______

Answer: Estimate: 4,800 Product: 4,503

Explanation: 57 x 79 Estimate: Think 57 is close to 60; 79 is close to 80. 60 x 80 = 4,800 Product: 70 x 5 tens = 350 tens 70 x 7 ones = 490 ones 9 x 5 tens = 45 tens 9 x 7 ones = 63 ones. Add partial products. 3500 + 490 + 450 + 63 = 4,503.

Question 8. 80 × 27 Estimate: _______ Product: _______

Answer: Estimate: 2,400 Product: 2,160

Explanation: 80 x 27 Estimate: Think 27 is close to 30. 30 x 80 = 2,400 Product: 20 x 8 tens = 160 tens 20 x 0 ones = 0 ones 7 x 8 tens = 56 tens 7 x 0 ones = 0 ones. Add partial products. 1600 + 0 + 560 + 0 = 2,160.

Question 9. 32 × $75 Estimate: $ _______ Product: $ _______

Answer: Estimate: $2,100 Product: $2,400

Explanation: 32 × $75 Estimate: Think 32 is close to 30; $75 is close to $70. 30 x $70 = $2,100 Product: $70 x 3 tens = $210 tens $70 x 2 ones = $140 ones $5 x 3 tens = $15 tens $5 x 2 ones = $10 ones. Add partial products. $2100 + $140 + $150 + $10 = $2,400.

Question 10. 55 × 48 Estimate: _______ Product: _______

Answer: Estimate: 2,750 Product: 2,640

Explanation: 55 × 48 Estimate: Think 48 is close to 50. 55 x 50 = 2,750 Product: 40 x 5 tens = 200 tens 40 x 5 ones = 200 ones 8 x 5 tens = 40 tens 8 x 5 ones = 40 ones. Add partial products. 2000 + 200 + 400 + 40 = 2,640.

Question 11. 19 × $82 Estimate: $ _______ Product: $ _______

Answer: Estimate: $1,600 Product: $1,558

Explanation: 19 × $82 Estimate: Think 19 is close to 20; $82 is close to $80. 20 x $80 = $1,600 Product: $80 x 1 tens = $80 tens $80 x 9 ones = $720 ones $2 x 1 tens = $2 tens $2 x 9 ones = $18 ones. Add partial products. $800 + $720 + $20 + $18 = $1,558.

Question 12. 25 × $25 Estimate: $ _______ Product: $ _______

Answer: Estimate: $625 Product: $625

Explanation: 25 × $25 Estimate: 25 x $25 = $625 Product: $20 x 2 tens = $40 tens $20 x 5 ones = $100 ones $5 x 2 tens = $10 tens $5 x 5 ones = $25 ones. Add partial products. $400 + $100 + $100 + $25 = $625.

Question 13. 41 × 98 Estimate: _______ Product: _______

Answer: Estimate: 4,000 Product: 4,018

Explanation: 41 × 98 Estimate: Think 41 is close to 40; 98 is close to 100. 40 x 100 = 4,000 Product: 90 x 4 tens = 360 tens 90 x 1 ones = 90 ones 8 x 4 tens = 32 tens 8 x 1 ones = 8 ones. Add partial products. 3600 + 90 + 320 + 8 = 4,018.

Identify Relationships Algebra Use mental math to find the number.

Question 14. 30 × 14 = 420, so 30 × 15 = ______

Answer: 30 × 15 = 450

Explanation: 30 × 15 = 30 + 420 30 × 15 = 450

Question 15. 25 × 12 = 300, so 25 × ______ = 350

Answer: 25 x 14 = 350

Explanation: 25 × 12 = 300 For every next multiplication, the product value is increased by 25. 25 x 13 = 325. 25 x 14 =350.

Question 16. The town conservation manager bought 16 maple trees for $26 each. She paid with five $100 bills. How much change will the manager receive? Explain. $ ______

Answer: $84

Explanation: The town conservation manager bought 16 maple trees for $26 each = 16 x $26 = $416. She paid with five $100 bills = 5 x $100 = $500. The manager receive = $500 – $416 = $84.

Question 17. Each of 25 students in Group A read for 45 minutes. Each of 21 students in Group B read for 48 minutes. Which group read for more minutes? Explain. _________

Answer: Group A read for more minutes than Group B.

Explanation: Group A read for 25 x 45 = 1125 minutes. Group B read for 21 x 48 = 1008 minutes. Group A read for more minutes than Group B.

Page No. 180

Answer: The total stamps in the first 20 pages + The total stamps in the remaining pages.

Question 18. b. How will you use multiplication to find the number of stamps? Type below: _________

Answer: The first 20 pages each have 35 stamps in 5 rows. So, 35 x 5 = 175 stamps.

Question 18. c. Tell why you might use addition and subtraction to help solve the problem. Type below: _________

Answer: As mentioned that the number of stamps available in the first 20 pages and the number of stamps available in the rest of the pages. We need to add all pages to get 48 pages stamps.

Question 18. d. Show the steps to solve the problem. Type below: _________

Answer: Martin has 48 pages in his collector’s album. The first 20 pages each have 35 stamps in 5 rows. So, 35 x 5 = 175 stamps. The first 20 pages have 175 stamps. The rest of the pages each have 54 stamps. So, total stamps = 175 + 54 = 229 stamps.

Question 18. e. Complete the sentences. Martin has a total of _____ stamps on the first 20 pages. There are _____ more pages after the first 20 pages in Martin’s album. There are _____ stamps on the rest of the pages. There are _____ stamps in the album. Type below: _________

Answer: Martin has a total of __175___ stamps on the first 20 pages. There are __24___ more pages after the first 20 pages in Martin’s album. There are __54___ stamps on the rest of the pages. There are ___229__ stamps in the album.

Question 19. Select the expressions that have the same product as 35 × 17. Mark all that apply. Options: a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7) b. (30 × 17) + (5 × 17) c. (35 × 30) + (35 × 5) + (35 × 10) + (35 × 7) d. (35 × 10) + (35 × 7) e. (35 × 10) + (30 × 10) + (5 × 10) + (5 × 7) f. (35 × 30) + (35 × 5)

Answer: a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7) b. (30 × 17) + (5 × 17) d. (35 × 10) + (35 × 7)

Explanation: 35 × 17 30 x 10 =300 30 x 7 = 210 5 x 10 = 50 5 x 7 = 35 300 + 210 + 50 + 35 = 595. a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7) = 300 + 210 + 50 + 35 = 595 equal to 595. b. (30 × 17) + (5 × 17) = 510 + 85 = 595 equal to 595. c. (35 × 30) + (35 × 5) + (35 × 10) + (35 × 7) = 1050 + 175 + 350 + 245 = 1820 not equal to 595. d. (35 × 10) + (35 × 7) = 350 + 245 = 595 equal to 595 e. (35 × 10) + (30 × 10) + (5 × 10) + (5 × 7) = 350 + 300 + 50 + 35 = 735 not equal to 595. f. (35 × 30) + (35 × 5) = 1050 + 175 = 1,225 not equal to 595.

Common Core – Page No. 181

Choose a Multiplication Method

Question 1. Estimate: 1,200 3 1 × 4 3 ——- 9 3 + 1, 2 4 0 ———— 1, 3 3 3

Answer: Estimate: 1,200 Product: 1, 3 3 3

Explanation: Estimate: 1,200 3 1 × 4 3 ——- 9 3 + 1, 2 4 0 ———— 1, 3 3 3

Question 2. 6 7 × 8 5 ——- Estimate: _____ Product: ______

Answer: Estimate: 6,300 Product: 5,695

Explanation: Estimate: 67 is close to 70; 85 is close to 90. 70 x 90 = 6,300. Product: 67 x 85 80 x 6 tens = 480 tens 80 x 7 ones = 560 ones 5 x 6 tens = 30 tens 5 x 7 ones = 35 ones. Add partial products. 4800 + 560 + 300 + 35 = 5,695.

Question 3. 6 8 × 3 8 ——- Estimate: _____ Product: ______

Answer: Estimate: 2,800 Product: 2,584

Explanation: Estimate: 68 is close to 70; 38 is close to 40. 70 x 40 = 2,800. Product: 68 x 38 30 x 6 tens = 180 tens 30 x 8 ones = 240 ones 8 x 6 tens = 48 tens 8 x 8 ones = 64 ones. Add partial products. 1800 + 240 + 480 + 64 = 2,584.

Question 4. 9 5 × 1 7 ——- Estimate: _____ Product: ______

Answer: Estimate: 1,700 Product: 1,615

Explanation: Estimate: 95 is close to 100. 100 x 17 = 1,700. Product: 95 x 17 10 x 9 tens = 90 tens 10 x 5 ones = 50 ones 7 x 9 tens = 63 tens 7 x 5 ones = 35 ones. Add partial products. 900 + 50 + 630 + 35 = 1,615.

Question 5. 4 9 × 5 4 ——- Estimate: _____ Product: ______

Answer: Estimate: 2,500 Product: 2,646

Explanation: Estimate: 49 is close to 50; 54 is close to 50. 50 x 50 = 2,500. Product: 49 x 54 50 x 4 tens = 200 tens 50 x 9 ones = 450 ones 4 x 4 tens = 16 tens 4 x 9 ones = 36 ones. Add partial products. 2000 + 450 + 160 + 36 = 2,646.

Go Math Grade 4 Answer Key Chapter 3 Question 6. 9 1 × 2 6 ——- Estimate: _____ Product: ______

Answer: Estimate: 2,700 Product: 2,366

Explanation: Estimate: 91 is close to 90; 26 is close to 30. 90 x 30 = 2,700. Product: 49 x 54 20 x 9 tens = 180 tens 20 x 1 ones = 20 ones 6 x 9 tens = 54 tens 6 x 1 ones = 6 ones. Add partial products. 1800 + 20 + 540 + 6 = 2,366.

Question 7. 8 2 × 1 9 ——- Estimate: _____ Product: ______

Answer: Estimate: 1,600 Product: 1,558

Explanation: Estimate: 82 is close to 80; 19 is close to 20. 80 x 20 = 1,600. Product: 82 x 19 10 x 8 tens = 80 tens 10 x 2 ones = 20 ones 9 x 8 tens = 72 tens 9 x 2 ones = 18 ones. Add partial products. 800 + 20 + 720 + 18 = 1,558.

Question 8. 4 6 × 2 7 ——- Estimate: _____ Product: ______

Answer: Estimate: 1,500 Product: 1,242

Explanation: Estimate: 46 is close to 50; 27 is close to 30. 50 x 30 = 1,500. Product: 46 x 27 20 x 4 tens = 80 tens 20 x 6 ones = 120 ones 7 x 4 tens = 28 tens 7 x 6 ones = 42 ones. Add partial products. 800 + 120 + 280 + 42 = 1,242.

Question 9. 4 1 × 3 3 ——- Estimate: _____ Product: ______

Answer: Estimate: 1,200 Product: 1,353

Explanation: Estimate: 41 is close to 40; 33 is close to 30. 40 x 30 = 1,200. Product: 41 x 33 30 x 4 tens = 120 tens 30 x 1 ones = 30 ones 3 x 4 tens = 12 tens 3 x 1 ones = 3 ones. Add partial products. 1200 + 30 + 120 + 3 = 1,353.

Question 10. 9 7 × 1 3 ——- Estimate: _____ Product: ______

Answer: Estimate: 1,300 Product: 1,261

Explanation: Estimate: 97 is close to 100. 100 x 13 = 1,300. Product: 97 x 13 10 x 9 tens = 90 tens 10 x 7 ones = 70 ones 3 x 9 tens = 27 tens 3 x 7 ones = 21 ones. Add partial products. 900 + 70 + 270 + 21 = 1,261.

Question 11. 7 5 × 6 9 ——- Estimate: _____ Product: ______

Answer: Estimate: 5,600 Product: 5,195

Explanation: Estimate: 75 is close to 80; 69 is close to 70. 80 x 70 = 5,600. Product: 75 x 69 60 x 7 tens = 420 tens 60 x 5 ones = 300 ones 9 x 7 tens = 63 tens 9 x 5 ones = 45 ones. Add partial products. 4200 + 300 + 630 + 45 = 5,195.

Question 12. A movie theatre has 26 rows of seats. There are 18 seats in each row. How many seats are there in all? ______ seats

Answer: 468 seats

Explanation: 26 x 18 = 468 seats. 20 x 18 = 360 6 x 18 = 108 108+360 = 468.

Question 13. Each class at Briarwood Elementary collected at least 54 cans of food during the food drive. If there are 29 classes in the school, what was the least number of cans collected? ______ cans

Answer: 1,566 cans

Explanation: Each class at Briarwood Elementary collected at least 54 cans of food. If there are 29 classes in the school, the least number of cans collected = 54 x 29 = 1,566 cans.

Common Core – Page No. 182

Question 1. A choir needs new robes for each of its 46 singers. Each robe costs $32. What will be the total cost for all 46 robes? Options: a. $1,472 b. $1,372 c. $1,362 d. $230

Answer: a. $1,472

Explanation: 46 x $32 40 x $32 = $1,280 6 x $32 = $192 $1,280 + $192 = $1,472

Question 2. A wall on the side of a building is made up of 52 rows of bricks with 44 bricks in each row. How many bricks make up the wall? Options: a. 3,080 b. 2,288 c. 488 d. 416

Answer: b. 2,288

Explanation: 52 x 44 50 x 44 = 2,200 2 x 44 = 88 2,200 + 88 = 2,288. 2,288 bricks make up the wall.

Question 3. Which expression shows how to multiply 4 × 362 by using place value and expanded form? Options: a. (4 × 3) + (4 × 6) + (4 × 2) b. (4 × 300) + (4 × 600) +(4 × 200) c. (4 × 300) + (4 × 60) + (4 × 20) d. (4 × 300) + (4 × 60) + (4 × 2)

Answer: d. (4 × 300) + (4 × 60) + (4 × 2)

Explanation: 4 × 362 = 1,448 a. (4 × 3) + (4 × 6) + (4 × 2) = 12 + 24 + 8 = 44 not equal to 1,448. b. (4 × 300) + (4 × 600) +(4 × 200) = 1200 + 2400 + 800 = 4,400 not equal to 1,448. c. (4 × 300) + (4 × 60) + (4 × 20) = 1200 + 240 + 80 = 1,520 not equal to 1,448. d. (4 × 300) + (4 × 60) + (4 × 2) = 1200 + 240 + 8 = 1,448 equal to 1,448.

Answer: d. 1,600 + 360 + 8 = 1,968

Question 5. What is the sum 13,094 + 259,728? Options: a. 272,832 b. 272,822 c. 262,722 d. 262,712

Answer: c. 262,722

Explanation: 13,094 + 259,728 = 262,722

Question 6. During the 2008–2009 season, there were 801,372 people who attended the home hockey games in Philadelphia. There were 609,907 people who attended the home hockey games in Phoenix. How much greater was the home attendance in Philadelphia than in Phoenix that season? Options: a. 101,475 b. 191,465 c. 201,465 d. 202,465

Answer: b. 191,465

Explanation: 801,372 – 609,907 = 191,465 Philadelphia attendance is 191,465 greater than in Phoenix that season.

Page No. 185

Question 1. An average of 74 reports with bird counts were turned in each day in June. An average of 89 were turned in each day in July. How many reports were turned in for both months? (Hint: There are 30 days in June and 31 days in July.) First, write the problem for June. Type below: __________

Answer: Given that An average of 74 reports with bird counts was turned in each day in June. For June Month, there are 30 days = 30 x 74 = 2,220.

Question 1. Next, write the problem for July. Type below: __________

Answer: An average of 89 reports with bird counts was turned in each day in July. For July Month, there are 31 days = 31 x 89 = 2,759.

Question 1. Last, find and add the two products. ____________ reports were turned in for both months. Type below: __________

Answer: Given that An average of 74 reports with bird counts was turned in each day in June. For June Month, there are 30 days = 30 x 74 = 2,220. An average of 89 reports with bird counts was turned in each day in July. For July Month, there are 31 days = 31 x 89 = 2,759. Add two products to get the total number of reports that were turned in for both months. 2,220 + 2,759 = 4,979.

Question 2. What if an average of 98 reports were turned in each day for the month of June? How many reports were turned in for June? Describe how your answer for June would be different. ______ reports

Answer: 720 more reports

Explanation: Given that an average of 98 reports was turned in each day for the month of June. June has 30 days. Total number of reports were turned in for June = 30 x 98 = 2, 940. From the above answer, 98 − 74 = 24. So, there would be 30 × 24, or 720 more reports.

Question 3. There are 48 crayons in a box. There are 12 boxes in a carton. Mr. Johnson ordered 6 cartons of crayons for the school. How many crayons did he get? ______ crayons

Answer: 3,456 crayons

Explanation: There are 48 crayons in a box. There are 12 boxes in a carton. So, 1 carton = 48 x 12 = 576 crayons. If Mr. Johnson ordered 6 cartons of crayons for the school, 6 x 576 crayons = 3,456 crayons. He gets 3,456 crayons.

Question 4. Make Sense of Problems Each of 5 birdwatchers reported seeing 15 roseate spoonbills in a day. If they each reported seeing the same number of roseate spoonbills over 14 days, how many would be reported? ______ roseate spoonbills

Answer: 1,050 roseate spoonbills

Explanation: Given that, 1 day –>5 birdwatchers reported 15 roseate spoonbills = 5 x 15 = 75 roseate spoonbills. So, in 14 days –> 5 birdwatchers reported 75 x 14 = 1,050 roseate spoonbills.

Page No. 186

Question 5. On each of Maggie’s bird-watching trips, she has seen at least 24 birds. If she has taken 4 of these trips each year over the past 16 years, at least how many birds has Maggie seen? at least ______ birds

Answer: Maggie seen 1,536 birds

Explanation: Given that, 1 trip –> Maggie seen 24 birds. For 1 year she goes for 4 bird-watching trips. So, she has seen 4 x 24 = 96 birds for 1 year. For 16 years, 16 x 96 = 1,536 birds have Maggie seen.

Question 6. Make Sense of Problems There are 12 inches in a foot. In September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club. In January, she orders 9 feet less. How many inches of ribbon does Mrs. Harris order? Explain how you found your answer. ______ inches

Answer: 660 inches

Explanation: There are 12 inches in a foot. In September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club = 32 x 12 = 384. In January, she orders 9 feet less = 32 – 9 = 23. So, in January, she orders 23 x 12 = 276. Mrs. Harris order 276 + 384 = 660 inches of ribbon in total. (or) 9 less than 32 is 23, so I added 23 + 32 = 55. Then, I multiplied 55 × 12 = 660.

Answer: 14827 Cypress Street

Explanation: Given that tens digit is 5 less than 7 = 7 – 5 = 2. 2 is the tens digit. The thousands digit is twice the digit in the tens place = 2 x 2 = 4. The hundreds digit is the greatest even number that is less than 10 i.e, 8. The ones digit is the product of 7 and 1 = 7 x 1 = 7. The ten thousands digit is the difference between the hundreds digit and the ones digit. So, 8 – 7 = 1. Add the products to get the final answer = 14827. Lydia’s address ( house number ) is 14827 Cypress Street.

Question 8. A school is adding 4 rows of seats to the auditorium. There are 7 seats in each row. Each new seat costs $99. What is the total cost for the new seats? Show your work. $ ______

Answer: $2,772

Explanation: Given that A school is adding 4 rows of seats to the auditorium. There are 7 seats in each row. So, 7 x 4 = 28 seats are available in an auditorium. Each new seat costs $99. 28 x $99 = $2,772 for total cost of the new seats.

Common Core – Page No. 187

Problem Solving Multiply 2 – Digit numbers

Solve each problem. Use a bar model to help.

Question 2. The 24 students in Ms. Lee’s class each collected an average of 18 cans for recycling. The 21 students in Mr. Galvez’s class each collected an average of 25 cans for recycling. How many more cans were collected by Mr. Galvez’s class than Ms. Lee’s class? ______ more cans

Question 3. At East School, each of the 45 classrooms has an average of 22 students. At West School, each of the 42 classrooms has an average of 23 students. How many more students are at East School than at West School? ______ more students

Question 4. A zoo gift shop orders 18 boxes of 75 key rings each and 15 boxes of 80 refrigerator magnets each. How many more key rings than refrigerator magnets does the gift shop order? ______ more key rings

Common Core – Page No. 188

Question 1. Ace Manufacturing ordered 17 boxes with 85 ball bearings each. They also ordered 15 boxes with 90 springs each. How many more ball bearings than springs did they order? Options: a. 5 b. 85 c. 90 d. 95

Answer: d. 95

Question 2. Elton hiked 16 miles each day on a 12-day hiking trip. Lola hiked 14 miles each day on her 16-day hiking trip. In all, how many more miles did Lola hike than Elton hiked? Options: a. 2 miles b. 18 miles c. 32 miles d. 118 miles

Answer: c. 32 miles

Question 3. An orchard has 24 rows of apple trees. There are 35 apple trees in each row. How many apple trees are in the orchard? Options: a. 59 b. 192 c. 740 d. 840

Answer: d. 840

Explanation: An orchard has 24 rows of apple trees. There are 35 apple trees in each row. 24 x 35 = 840 apple trees are in the orchard.

Question 4. An amusement park reported 354,605 visitors last summer. What is this number rounded to the nearest thousand? Options: a. 354,600 b. 355,000 c. 360,000 d. 400,000

Answer: b. 355,000

Explanation: An amusement park reported 354,605 visitors last summer. 4,605 is close to 5,000. So, the answer is 355,000.

Question 5. Attendance at the football game was 102,653. What is the value of the digit 6? Options: a. 6 b. 60 c. 600 d. 6,000

Answer: c. 600

Explanation: Digit 6 is at hundreds of positions. So, the answer is 6 x 100 = 600.

Question 6. Jill’s fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh? Options: a. 7 ounces b. 49 ounces c. 55 ounces d. 56 ounces

Answer: d. 56 ounces

Explanation: Let Jill’s parakeet = X. Jill’s fish weighs 8 times as much as her parakeet = 8X. Together, the pets weigh 63 ounces. X + 8X = 63. 9X = 63. X = 63/9 = 7. So, Jill’s parakeet =7. Jill’s fish = 7 x 8 = 56 ounces.

Review/Test – Page No. 189

Question 1. Explain how to find 40 × 50 using mental math Type below: _________

Mrs. Traynor’s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class.

Question 2. Part A Round each factor to estimate the total cost of the students’ field trip. $ ______

Answer: $600

Explanation: Total cost of the students’ field trip = 22 x $26. 22 x $26 20 x $30 = $600 The total cost would be about $600.

Question 2. Part B Use compatible numbers to estimate the total cost of the field trip. $ ______

Answer: $500

Explanation: If we use compatible numbers to estimate the total cost of the field trip. 22 x $26 20 × 25 = 500 The total cost would be about $500.

Question 2. Part C Which do you think is the better estimate? Explain. Better estimate: _________

Answer: Using rounded numbers is a better estimate. When rounded numbers are used, one estimated factor was $4 more than the actual factor and the other estimated factor was $2 that is less than the actual factor. So, the estimate should be close to the actual one. When compatible numbers are used both estimated factors were less than the actual factors. So, the product will be an underestimate.

Review/Test – Page No. 190

For numbers 3a–3e, select Yes or No to show if the answer is correct.

Question 3. 3a. 35 × 10 = 350 i. yes ii. no

Answer: i. yes

Explanation: 35 x 10 = 350 30 x 10 = 300. 5 x 10 = 50. 300 + 50 = 350.

Question 3. 3b. 19 × 20 = 380 i. yes ii. no

Explanation: 19 × 20 = 380 19 x 20 = 19 x 2 tens. 19 x 20 = 38 tens = 380.

Question 3. 3c. 12 × 100 = 120 i. yes ii. no

Answer: ii. no

Explanation: 12 x 100 = 120. 10 x 100 = 1000 2 x 100 = 200. 1000 + 200 = 1200.

Question 3. 3d. 70 × 100 = 7,000 i. yes ii. no

Explanation: 70 x 100 = 7,000 100 x 7 tens = 700 tens = 7,000

Question 3. 3e. 28 × 30 = 2,100 i. yes ii. no

Explanation: 28 × 30 20 x 30 = 600 8 x 30 = 240 600 + 240 = 840

Question 4. There are 23 boxes of pencils in Mr. Shaw’s supply cabinet. Each box contains 100 pencils. How many pencils are in the supply cabinet? _____ penciles

Answer: 2,300 pencils

Explanation: 23 x 100 = 2,300 pencils are in the supply cabinet.

Question 5. Which would provide a reasonable estimate for each product? Write the estimate beside the product. An estimate may be used more than once 23 × 38 __________ 31 × 32 __________ 46 × 18 __________ 39 × 21 __________

Answer: 23 × 38 –> 25 x 40 31 x 32 –> 30 × 30 46 × 18 –> 50 × 20 39 × 21 –> 25 × 40

Explanation: 23 × 38; 23 is close to 25; 38 is close to 40. So, the estimated product is 25 x 40 31 x 32; 31 is close to 30; 32is close to 30. So, the estimated product is 30 × 30 46 × 18; 46 is close to 50; 18 is close to 20. So, the estimated product is 50 × 20 39 × 21; 39 is close to 40; 21 is close to 25. So, the estimated product is 25 × 40

Question 6. There are 26 baseball teams in the league. Each team has 18 players. Write a number sentence that will provide a reasonable estimate for the number of players in the league. Explain how you found your estimate. Type below: __________

Answer: There are 26 baseball teams in the league. Each team has 18 players. 26 x 18 25 x 20 We Rounded each factor to its close factor, then simplified the multiplication.

Review/Test – Page No. 191

Answer: Jess added the numbers in the model instead of multiplying.

Question 8. Part C What is the actual product 32 × 17? ______

Answer: 544

Explanation: 32 × 17 10 x 32 = 320 7 x 32 = 224 320 + 224 = 544.

Review/Test – Page No. 192

Question 11. Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirts does Mrs. Jones order? Use partial products to help you. Type below: __________

Answer: 816 T-shirts

Explanation: Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. Each box has 17 shirts. 16 boxes = 16 x 17 = 272. Each order = 16 boxes = 272 shirts. 3 orders = 3 x 272 = 816 shirts. Mrs. Jones order 816 T-shirts.

Question 13. Mike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does. How many baseball cards does Niko have? ________ baseball cards

Answer: 272 baseball cards

Explanation: Mike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does. Niko have 16 x 17 = 272 baseball cards.

Question 14. Multiply. 36 × 28 = ________

Answer: 1,008

Explanation: 36 x 28 20 x 30 = 600 20 x 6 = 120 8 x 30 = 240 8 x 6 = 48 600 + 120 + 240 + 48 = 1,008

Review/Test – Page No. 193

Question 15. A farmer planted 42 rows of tomatoes with 13 plants in each row. How many tomato plants did the farmer grow? 42 × 13 = ______ tomato plants

Answer: 420 + 126 = 546 tomato plants

Explanation: 42 × 13 10 x 42 = 420 3 x 42 = 126 420 + 126 = 546 tomato plants

Question 16. Select another way to show 25 × 18. Mark all that apply. Options: a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8) b. (25 × 20) + (25 × 5) + (25 × 10) + (25 × 8) c. (20 × 18) + (5 × 10) + (5 × 8) d. (25 × 10) + (25 × 8) e. (25 × 20) + (25 × 5)

Answer: a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8) c. (20 × 18) + (5 × 10) + (5 × 8) d. (25 × 10) + (25 × 8)

Explanation: 25 × 18 10 x 25 = 250 8 x 25 = 200 250 + 200 = 450. a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8) = 200 + 160 + 50 + 40 = 450 b. (25 × 20) + (25 × 5) + (25 × 10) + (25 × 8) = 500 + 125 + 250 + 200 = 1,075 c. (20 × 18) + (5 × 10) + (5 × 8) = 360 + 50 + 40 = 450 d. (25 × 10) + (25 × 8) = 250 + 200 = 450 e. (25 × 20) + (25 × 5) = 500 + 125 = 625

Question 17. Terrell runs 15 sprints. Each sprint is 65 meters. How many meters does Terrell run? Show your work. ______ meters

Answer: 975 meters

Explanation: Terrell run 15 x 65 = 975 meters.

Question 18. There are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74. What is the cost for the new seats? Explain how you found your answer. $ ______

Answer: $3,330

Explanation: Given that There are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74. So, 3 x 15 = 45 seats are available in an auditorium. Each new seat costs $74. 45 x $74 = $3,330 for total cost of the new seats.

Question 19. Ray and Ella helped move their school library to a new building. Ray packed 27 boxes with 25 books in each box. Ella packed 23 boxes with 30 books in each box. How many more books did Ella pack? Show your work. ______ books

Answer: 15 books

Explanation: Ray packed 27 x 25 = 675 books. Ella packed 23 x 30 = 690 books Ella packed 690 – 675 = 15 books more than Ray.

Review/Test – Page No. 194

Answer: Julius multiplied 25 by 10 and then multiplied 25 by 6 correctly. He added the two partial products incorrectly.

Question 20. Part B What did Walt do wrong? Type below: __________

Answer: Walt multiplied 6 by 5 and got 300 instead of 30

Question 20. Part C What is the correct product? Type below: __________

Answer: 25 x 16 = 400

Question 21. A clothing store sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32. Part A What is a reasonable estimate for the total cost of the clothing? Show or explain how you found your answer. $ ______

Answer: $1500

Explanation: A clothing store sells 26 shirts and 22 pairs of jeans. 26 + 22 = 48 clothes. Each item of clothing costs $32. 48 x $32 50 x $30 = $1500

Question 21. Part B What is the exact answer for the total cost of the clothing? Show or explain how you found your answer. $ ______

Answer: $1,536

Explanation: 48 x $32 40 x $32 = $1,280 8 x $32 = $256 $1,280 + $256 = $1,536

Page No. 199

Question 1. A restaurant has 68 chairs. There are six chairs at each table. About how many tables are in the restaurant? Estimate. 68 ÷ 6 Think: What number times 6 is about 68? 10 × 6 = ___ 11 × 6 = ___ 12 × 6 = ___ 68 is closest to ______, so the best estimate is about _______ tables are in the restaurant. Type below: __________

Answer: 68 is close to 70 and 6 is close to 5. So, 70/5 = 12. 10 × 6 = __60_ 11 × 6 = _66__ 12 × 6 = _72__ 68 is closest to ___66___, so the best estimate is about 11 x 6 = 66 tables are in the restaurant.

Find two numbers the quotient is between. Then estimate the quotient.

Question 2. 41 ÷ 3 between _______ and _______

Answer: between 13 and 14 about 14

Explanation: 13 x 3 = 39; 14 x 3 = 42. The quotient of 41 ÷ 3 is between 13 and 14.

Question 3. 192 ÷ 5 between _______ and _______

Answer: between 30 and 40 about 40

Explanation: 30 x 5 = 150; 40 x 5 = 200. The quotient of 192 ÷ 5 is between 30 and 40.

Question 4. 90 ÷ 7 between _______ and _______

Answer: between 12 and 13 about 13

Explanation: 12 x 7 = 84; 13 x 7 = 91. The quotient of 90 ÷ 7 is between 12 and 13.

Question 5. 67 ÷ 4 between _______ and _______

Answer: between 16 and 17 about 17

Explanation: 16 x 4 = 64; 17 x 4 = 68. The quotient of 67 ÷ 4 is between 16 and 17.

Question 6. 281 ÷ 9 between _______ and _______

Answer: between 30 and 40 about 30

Explanation: 30 x 9 = 270; 40 x 9 = 360. The quotient of 281 ÷ 9 is between 30 and 40.

Question 7. 102 ÷ 7 between _______ and _______

Answer: between 14 and 15 about 15

Explanation: 14 x 7 = 98; 15 x 7 = 105. The quotient of 102 ÷ 7 is between 14 and 15.

Question 8. 85 ÷ 6 between _______ and _______

Answer: between 14 and 15 about 14

Explanation: 14 x 6 = 84; 15 x 6 = 90. The quotient of 85 ÷ 6 is between 14 and 15.

Question 9. 220 ÷ 8 between _______ and _______

Answer: between 20 and 30 about 30

Explanation: 20 x 8 = 160; 30 x 8 = 240. The quotient of 220 ÷ 8 is between 20 and 30.

Decide whether the actual quotient is greater than or less than the estimate given. Write < or >.

Question 10. 83 ÷ 8 _______ 10

Answer: >

Explanation: 83 ÷ 8 = 10.375 > 10

Question 11. 155 ÷ 4 _______ 40

Answer: <

Explanation: 155 ÷ 4 = 38.75 < 40

Question 12. 70 ÷ 6 _______ 11

Explanation: 70 ÷ 6 = 11.666 > 11

Question 13. What’s the Question? A dolphin’s heart beats 688 times in 6 minutes. Answer: about 100 times. Type below: __________

Answer: About how many times does a dolphin’s heart beats in 1 minute?

Question 14. Analyze A mother bottlenose ate about 278 pounds of food in one week. About how much food did she eat in a day? about _____ pounds

Answer: about 40 pounds

Explanation: 278 ÷ 7 The quotient of 278 ÷ 7 is between 39 and 40.

Question 15. Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sells for $6. Tanya buys 3 T-shirts. How many pairs of sunglasses can she buy with the amount of money she has left? _____ pairs of sunglasses

Answer: 3 pairs of sunglasses

Explanation: Given that Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sell for $6. Tanya buys 3 T-shirts = 3 x $7 = $21. pair of sunglasses = $42 – $21 = $21. 1 pair of sunglasses sells for $6. So, $21 ÷ $7 = 3. 3 pairs of sunglasses can Tanya buy with the amount of money she has left.

Page No. 200

Answer: The bottlenose dolphin can eat 25 pounds for 1 day. Both answers are correct. Because the 25 pounds is in between 20 and 30 pounds.

Explanation: 1 week = 7 days. The bottlenose dolphin can eat 175 pounds for 7 days. For 1 day = 175 ÷ 7 = 25 pounds. The bottlenose dolphin can eat 25 pounds for 1 day. Both answers are correct. Because the 25 pounds is in between 20 and 30 pounds.

Question 17. Four families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress. If each family spent the same amount, about how much did each family spend on dinner? Explain how you found your answer. $ ______

Answer: $98.5

Explanation: Four families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress. So, total amount = $167 + $30 = $197. If each family spent the same amount = $197 ÷ 2 = $98.5 Each family spent $98.5.

Question 18. There are 6 showings of a film about Van Gogh at the Art Museum. A total of 459 people saw the film. The same number of people were at each showing. About how many people were at each showing? Circle the numbers the quotient is between. Then explain how you found your answer. 40 50 60 70 80 Type below: _________

Answer: 40 50 60 70 80 I found multiples of 6 that 459 is between. 70 × 6 = 420 and 80 × 6 = 480. Since 459 is closer to 480, 459 ÷ 6 is about 80.

Check the links and solved problems for better math practice. Use Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers to achieve more knowledge. Enhance practical knowledge and solving-skills with the help of HMH Go Math Grade 4 Answer Key. Be the first to grab the best approach by downloading Go Math HMH Answer Key.

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Math Expressions Grade 4 Unit 8 Lesson 2 Answer Key Measuring Angles

Solve the questions in Math Expressions Grade 4 Homework and Remembering Answer Key Unit 8 Lesson 2 Answer Key Measuring Angles to attempt the exam with higher confidence. https://mathexpressionsanswerkey.com/math-expressions-grade-4-unit-8-lesson-2-answer-key/

Math Expressions Common Core Grade 4 Unit 8 Lesson 2 Answer Key Measuring Angles

Math Expressions Grade 4 Unit 8 Lesson 2 Homework

Use a protractor to find the measure of each angle.

Explanation: To measure an angle with a protractor: Place the midpoint of the protractor on the VERTEX of the angle M, the angle is ∠LMN = 90°

Explanation: To measure an angle with a protractor: Place the midpoint of the protractor on the VERTEX of the angle Q, the angle is ∠RQP = 100°

Draw each angle.

Question 5. an angle with measure 75° Answer: Acute Angle Explanation: An acute angle is a type of angle that measures less than 90°

Question 6. an angle with measure 150° Answer: Obtuse Angle Explanation: An angle that measures greater than 90° is known as the obtuse angle.

Question 7. On a protractor there are two scales. Read one scale to find 44°. What is the measure on the other scale? Answer:  136° Explanation:

Question 8. Which would be greater, the measure of a right angle or the measure of an obtuse angle? Answer: Right angle Explanation: An angle which measures exactly 90° is called a right angle.

Math Expressions Grade 4 Unit 8 Lesson 2 Remembering

Solve. Show your work.

Question 1. Presley ordered a small popcorn and Ella ordered a medium popcorn. They both ate \(\frac{3}{4}\) of their popcorn. Who ate more popcorn? Explain. Answer: Ella ate more Explanation:

Question 2. It takes both Jack and Scott 12 minutes to walk to school. Jack had his headphones on for \(\frac{2}{3}\) of the walk and Scott had his on for \(\frac{2}{5}\) of the walk. Who had their headphones on longer? Explain. Answer: Jack had his headphones on longer Explanation: Jack had \(\frac{2}{3}\) Scott had \(\frac{2}{5}\) To compare the fractions, the denominators should me made same, by multiplying as shown below \(\frac{2}{3}\) x \(\frac{5}{5}\) >\(\frac{2}{5}\) x \(\frac{3}{3}\) \(\frac{10}{15}\)  > \(\frac{6}{15}\) Hence,  Jack had his headphones on longer

Draw each geometric figure.

Question 5. an angle Answer:

Question 7. Stretch Your Thinking You can think of the two hands of a clock as rays of an angle. What type of angle do you see between the clock’s hands when the clock shows the following times? Draw a sketch, if you need to. a.) 3:05 ___________ Answer:

b.) 6:00 ___________ Answer:

Explanation: Draw the clock hands to form angles. The angle between two hands is less then 180°. So, it is straight angle.

c.) 9:10 __________ Answer:

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Eureka Math Grade 4 Module 3 Lesson 38 Answer Key

Engage ny eureka math 4th grade module 3 lesson 38 answer key, eureka math grade 4 module 3 lesson 38 problem set answer key.

Eureka Math Grade 4 Module 3 Lesson 38 Exit Ticket Answer Key

Solve using the multiplication algorithm.

Eureka Math Grade 4 Module 3 Lesson 38 Homework Answer Key

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Lesson 2 Homework 5.6

Lesson 13 homework page 1 module 7 grade 2 Math homework book grade 5

Lesson homework 13 grade module Lesson 7 homework practice pdf form Homework lesson grade module

Homework | Year 5 | Page 3

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McGraw Hill My Math Grade 3 Chapter 4 Lesson 3 Answer Key Multiply with Arrays

All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 4 Lesson 3 Multiply with Arrays  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 4 Lesson 3 Multiply with Arrays

• Make an array on a piece of paper. Arrange the tiles in 4 rows with 3 tiles in each row. Draw the array.
• Count. What is the total number of tiles? ____
• Turn your paper. There are now ____ rows with ___ tiles in each row. Draw what the array looks like now.
• Count. What is the total number of tiles? _____ So, there are the same number of tiles, ____, if you turn the array.

Explanation: One way: I drew an array that has 4 rows and 3 columns The addition sentence that shows the equal rows is 3 + 3 + 3 + 3 = 12 The multiplication sentence that represents the array is 4 x 3 = 12

Another way: I turned the array and it has 2 rows and 5 columns The addition sentence that shows the equal rows is 4 + 4 + 4 = 12 The multiplication sentence that represents the array is 3 x 4 = 12.

Explanation: One way: I drew an array that has 5 rows and 2 columns The addition sentence that shows the equal rows is 2 + 2 + 2 + 2 + 2 = 10 The multiplication sentence that represents the array is 5 x 2 = 10

Another way: I turned the array and it has 2 rows and 5 columns The addition sentence that shows the equal rows is 5 + 5 = 10 The multiplication sentence that represents the array is 2 x 5 = 10.

Talk About It

Question 1. Mathematical PRACTICE 2 Stop and Reflect What is the connection between repeated addition and an array? Answer: An array is a collection of numbers arranged in a specific manner. This arrangement is either in rows or columns. A Repeated Addition Array is used tofind the total number of similar elements in an array through addition.

Question 2. How can you use an array to model the Commutative Property? Answer: The commutative property of multiplication can be neatly illustrated using an array. An array could be read as rows of, or as columns of. Or the array could be physically turned around to show that rows of has the same number as rows of.

Question 3. List 3 everyday objects that are arranged in an array. Answer: Books, glasses and boxes in house are usually arranged in an array.

Practice It

Draw an array to find the product.

Explanation: I drew an array to find the product of 4 x 2 2 + 2 + 2 + 2 = 8 4 x 2 = 8 Therefore, the product is 8.

Explanation: I drew an array to find the product of 3 x 5 5 + 5 + 5 3 x 5 = 15 Therefore, the product is 15.

Write an addition sentence and a multiplication sentence to show equal rows.

Explanation: The addition sentence that shows equal rows is 5 + 5 + 5 + 5 = 20 The multiplication sentence that shows equal rows is 4 x 5 = 20.

Explanation: The addition sentence that shows equal rows is 3 + 3 + 3 = 9 The multiplication sentence that shows equal rows is 3 x 3 = 9.

Explanation: The addition sentence that shows equal rows is 3 + 3 = 6 The multiplication sentence that shows equal rows is 2 x 3 = 6.

Question 9. Use the Commutative Property of Multiplication to write another multiplication sentence for Exercise 8. ____ × ____ = _____ Answer: 2 x 3 = 6

Explanation: 2 x 3 has 2 rows and 3 columns Change rows to columns to find another sentence 3 rows and 2 columns Another multiplication sentence for 2 x 3 = 6 is 3 x 2 = 6.

Question 10. Describe a real-world situation for Exercise 6. Answer: Sheela has 4 trays of eggs. Each tray has 5 eggs. How many eggs does Sheela has in all.

Explanation: Sheela has 4 trays of eggs Each tray has 5 eggs The multiplication sentence that solves the problem is 4 x 5 4 x 5 = 20 So, Sheela has 20 eggs in all.

Explanation: Marcos has 3 sheets of stickers Each sheet has 4 stickers on it The multiplication sentence is 3 x 4 3 x 4 = Use repeated addition 4 + 4 + 4 = 12 So, 3 x 4 = 12 Therefore, Macros has 12 stickers in all.

Explanation: An array is an orderly arrangement (often in rows, columns or a matrix) that is most commonly used as a visual tool for demonstrating multiplication and division. The picture that is circled is not arranged in rows and columns. So, it does not represent an array.

Explanation: The above drawn array has 6 rows and 3 columns The multiplication sentence is 6 x 3 6 x 3 = 18 So, the unknown number in the given sentence is 3.

Write About It

Question 14. How can I use an array to model multiplication? Answer: An array helps you to understand multiplication by visualising it. It makes sense of your times tables. For example, an array shows that, when multiplying two numbers together, the order of those numbers can be switched around. By way of an example, let’s take a look at two arrays: 2 x 4 and 4 x 2 . 2 x 4 = 8 and 4 x 2 = 8.

McGraw Hill My Math Grade 3 Chapter 4 Lesson 3 My Homework Answer Key

Explanation: I drew an array to find the product of 5 x 7 7 + 7 + 7 + 7 + 7 5 x 7 = 35 Therefore, the product is 35.

Explanation: I drew an array to find the product of 6 x 5 5 + 5 + 5 + 5 + 5 + 5 6 x 5 = 30 Therefore, the product is 30.

Explanation: The addition sentence that shows equal rows is 2 + 2 + 2 + 2 = 8 The multiplication sentence that shows equal rows is 4 x 2 = 8.

Explanation: The addition sentence that shows equal rows is 5 + 5 + 5 + 5 + 5 = 25 The multiplication sentence that shows equal rows is 5 x 5 = 25.

Vocabulary Check

Explanation: The above drawn arrays model of 2 x 3 = 6 The first array has 2 rows and 3 columns 2 x 3 = 6 The second array has 3 rows and 2 columns 3 x 2 = 6 The multiplication sentences 2 x 3 = 6 and 3 x 2 = 6 has same product and represent commutative property of multiplication So, the arrays show the meaning of commutative property of multiplication.

Problem Solving

Explanation: Suki’s watercolor set has 3 rows of paint There are 8 colors in each row I drew an array with 3 rows and 8 columns The multiplication sentence that solve the problem is 3 x 8 = 3 x 8 = 24 So, Suki’s watercolor has 24 colors in the set.

Explanation: A checkerboard has 8 rows, with 8 squares in each row I drew an array with 8 rows and 8 columns The multiplication sentence that sole the problem is 8 x 8 = 8 x 8 = 64 So, the total number of squares in the checkerboard has 64 squares.

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