go math lesson 9.7 grade 5 homework answer key

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Go Math! Florida 5th Grade, Grade: 5 Publisher: Houghton Mifflin Harcourt

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GO MATH - 5TH GRADE- CHAPTER 9- lesson 9.2

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Go Math Grade 5 Answer Key Chapter 4 Multiply Decimals

Go Math Grade 5 Answer Key Chapter 4 Multiply Decimals comes in handy while preparing for the exams. Go Math Grade 5 Chapter 4 Solution Key is given by the subject experts. We listed Go Math Grade 5 Answer Key covering the questions from Practice Test, Chapter Test, Cumulative Practice. Know how to solve various models of 5th Grade Go Math Ch 4 Multiply Decimals by referring to the Solutions Key Provided. The Best Part about or 5th Grade Ch 4 Multiply Decimals Answer Key is that we have given an elaborate explanation for all the Problems.

Go Math Grade 5 Chapter 4 Multiply Decimals Answer Key

Go Math Grade 5 Chapter 4 Multiply Decimals Solution Key covers Questions from basic to advanced level of difficulty. All the Problems are explained by subject experts and create an Interest in the Subject among the Students. If they have any difficulty in solving the Chapter 4 Lessons Problems they can cross check the detailed explanation provided below to resolve their doubts. Students can feel confident with the concepts by practicing from the 5th Grade Go Math Multiply Decimals Answer Key.

Lesson 1: Algebra • Multiplication Patterns with Decimals

• Multiplication Patterns with Decimals – Page No. 165
• Multiplication Patterns with Decimals Lesson Check – Page No. 166

Lesson 2: Investigate • Multiply Decimals and Whole Numbers

• Multiply Decimals and Whole Numbers – Page No. 167
• Multiply Decimals and Whole Numbers Lesson Check – Page No. 168

Lesson 3: Multiplication with Decimals and Whole Numbers

• Multiplication with Decimals and Whole Numbers – Page No. 171
• Multiplication with Decimals and Whole Numbers Lesson Check – Page No. 172

Lesson 4: Multiply Using Expanded Form

• Multiply Using Expanded Form – Page No. 175
• Multiply Using Expanded Form Lesson Check – Page No. 176

Lesson 5: Problem Solving • Multiply Money

• Multiply Money – Page No. 179
• Multiply Money Lesson Check – Page No. 180

Mid-Chapter Checkpoint

Mid-Chapter Checkpoint – Page No. 181

• Mid-Chapter Checkpoint Lesson Check – Page No. 182

Lesson 6: Investigate • Decimal Multiplication

• Decimal Multiplication – Page No. 185
• Decimal Multiplication Lesson Check – Page No. 186

Lesson 7: Multiply Decimals

• Multiply Decimals – Page No. 188
• Multiply Decimals Lesson Check – Page No. 189
• Multiply Decimals Lesson Check 1 – Page No. 190

Lesson 8: Zeros in the Product

• Zeros in the Product – Page No. 193
• Zeros in the Product Lesson Check – Page No. 194

Review/Test

• Review/Test – Page No. 195
• Review/Test – Page No. 196
• Review/Test – Page No. 197
• Review/Test – Page No. 198

Share and Show – Page No. 165

Complete the pattern.

Question 1. 10 0 × 17.04 = 17.04 10 1 × 17.04 = 17.04 10 2 × 17.04 = 17.04 10 3 × 17.04 = 17.04 _____

Answer: 10 0 × 17.04 = 17.04 10 1 × 17.04 = 170.4 10 2 × 17.04 = 1,704 10 3 × 17.04 =17,040

Explanation: As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side. 10 0 × 17.04 = 1 x 17.04 = 17.04 10 1 × 17.04 = 10 x 17.04 = 170.4 10 2 × 17.04 = 100 x 17.04 = 1,704 10 3 × 17.04 = 1000 x 17.04 = 17,040

Question 2. 1 × 3.19 = _____ 10 × 3.19 = _____ 100 × 3.19 = _____ 1,000 × 3.19 = _____

Answer: 1 × 3.19 = 3.19 10 × 3.19 = 31.9 100 × 3.19 = 319 1,000 × 3.19 = 3,190 As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.

Question 3. 45.6 × 10 0 = _____ 45.6 × 10 1 = _____ 45.6 × 10 2 = _____ 45.6 × 10 3 = _____

Answer: 45.6 × 10 0 = 45.6 45.6 × 10 1 = 456 45.6 × 10 2 = 4,560 45.6 × 10 3 = 45,600

Explanation: As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side. 45.6 × 10 0 = 45.6 x 1 = 45.6 45.6 × 10 1 = 45.6 x 10 = 456 45.6 × 10 2 = 45.6 x 100 = 4,560 45.6 × 10 3 = 45.6 x 1000 = 45,600

Question 4. 1 × 6,391 = _____ 0.1 × 6,391 = _____ 0.01 × 6,391 = _____

Answer: 1 × 6,391 = 6,391 0.1 × 6,391 = 639.1 0.01 × 6,391 = 63.91 As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side

On Your Own

Question 5. 1.06 × 1 = _____ 1.06 × 10 = _____ 1.06 × 100 = _____ 1.06 × 1,000 = _____

Answer: 1.06 × 1 = 1.06 1.06 × 10 = 10.6 1.06 × 100 = 106 1.06 × 1,000 = 1,060 As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.

Question 6. 1 × 90 = _____ 0.1 × 90 = _____ 0.01 × 90 = _____

Answer: 1 × 90 = 90 0.1 × 90 = 9.0 = 9 0.01 × 90 = 0.9

Explanation: As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side 1 × 90 = 90 0.1 × 90 = 9.0 0.01 × 90 = 0.90

Question 7. 10 0 × $0.19 = $ _____ 10 1 × $0.19 = $ _____ 10 2 × $0.19 = $ _____ 10 3 × $0.19 = $ _____

Answer: 10 0 × $0.19 = $ 0.19 10 1 × $0.19 = $ 1.9 10 2 × $0.19 = $ 19 10 3 × $0.19 = $ 190

Explanation: As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side. 10 0 × $0.19 = $ 0.19 10 1 × $0.19 = $ 1.9 10 2 × $0.19 = $ 19 10 3 × $0.19 = $ 190

Question 8. 580 × 1 = _____ 580 × 0.1 = _____ 580 × 0.01 = _____

Answer: 580 × 1 = 580 580 × 0.1 = 58 580 × 0.01 = 5.8

Explanation: As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side. 580 × 1 = 580 580 × 0.1 = 58.0 = 58 580 × 0.01 = 5.8

Question 9. 10 0 × 80.72 = _____ 10 1 × 80.72 = _____ 10 2 × 80.72 = _____ 10 3 × 80.72 = _____

Answer: 10 0 × 80.72 = 80.72 10 1 × 80.72 = 807.2 10 2 × 80.72 = 8,072 10 3 × 80.72 = 80,720

Explanation: As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side 10 0 × 80.72 = 80.72 10 1 × 80.72 = 807.2 10 2 × 80.72 = 8,072 10 3 × 80.72 = 80,720

Question 10. 1 × 7,230 = _____ 0.1 × 7,230 = _____ 0.01 × 7,230 = _____

Answer: 1 × 7,230 = 7,230 0.1 × 7,230 = 723 0.01 × 7,230 = 72.3

Explanation: As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side. 1 × 7,230 = 7,230 0.1 × 7,230 = 723.0 = 723 0.01 × 7,230 = 72.3

Algebra Find the value

Question 11. n × $3.25 = $325.00 n = _____

Answer: n = 100

Explanation: n × $3.25 = $325.00 n × $3.25 = $325.00 n x $325 x $0.01 = $325.00 n x $325 x $1/100 = $325.00 n =  $325.00/$325 x 100 n = 1 x 100 = 100

Question 12. 0.1 × n = 89.5 n = _____

Answer: n = 895

Explanation: 0.1 × n = 89.5 1/10 x n = 895 x 0.1 n = 895 x 0.1 x 10 n = 895

Question 13. 10 3 × n = 630 n = _____

Answer: n = 0.63

Explanation: 10 3 × n = 630 1000 x n = 630 n = 630 x 1/1000 n = 630 x 0.001 n = 0.63

Problem Solving – Page No. 166

What’s the Error?

So, Kirsten needs ______ feet of cord to make 1,000 lanyards. Describe how Kirsten could have solved the problem without writing out the pattern needed. Type below: ________

Answer: Kirsten needs 1,750 feet of cord to make 1,000 lanyards. that decimal point moves one Noce M the right for each increasing power of 10. So, the answer is 1,750 feet.

Share and Show – Page No. 167

Use the decimal model to find the product.

Explanation: The picture shows that 5 groups of 6 hundredths. 0.06 = 6 hundredths Each square box shows 1/ 100. So, shade 6 boxes 5 times to get the product. Count the number of boxes shaded. There are 30 hundredths are shaded = 0.30 = 0.3 5 × 0.06 = 0.3

Question 2. 2 × 0.38 = _____

Explanation: The picture shows that 2 groups of 38 hundredths. 0.38 = 38 hundredths Each square box shows 1/ 100. So, shade 38 boxes 2 times to get the product. 38 hundredths + 38 hundredths = 76 hundredths = 0.76.

Question 3. 4 × 0.24 = _____

Explanation: 4 groups of 24 hundredths Each square box shows 1/ 100. So, shade 24 boxes 4 times to get the product. 24 hundredths + 24 hundredths + 24 hundredths + 24 hundredths = 96 hundredths = 0.96.

Find the product. Draw a quick picture.

Question 4. 4 × 0.6 = _____

Explanation: 4 × 0.6 4 groups of 6 tenths 0.6 + 0.6 + 0.6 + 0.6 = 2.4 4 × 0.6 = 2.4

Question 5. 2 × 0.67 = _____

Explanation: 2 × 0.67 2 groups of 67 hundredths 0.67 + 0.67 = 1.34 2 × 0.67 = 1.34

Question 6. 3 × 0.62 = _____

Explanation: 3 × 0.62 3 groups of 62 hundredths 0.62 + 0.62 + 0.62 = 1.86 3 × 0.62 = 1.86

Question 7. 4 × 0.32 = _____

Explanation: 4 × 0.32 4 groups of 32 hundredths 0.32 + 0.32 + 0.32 + 0.32 = 1.28 4 × 0.32 = 1.28

Question 8. Describe how you solved Exercise 7 using place value and renaming. Type below: ________

Answer: 4 × 0.32 4 groups of 32 hundredths There are 32 hundredths. 32 hundredths there are 30 tenths and 2 hundredths. Combine the tenths and rename. 2 + 2 + 2 + 2 = 8 Combine the tenths and rename. There are 3 tenths. 3 + 3 + 3 + 3 = 12; 2 tenths and 1 tens Cross out the tenths you renamed. Combine the ones and rename them. 0 + 0 + 0 + 0 + 1 = 1 1.28 4 × 0.32 = 1.28

Problem Solving – Page No. 168

Question 9. Each day a bobcat drinks about 3 times as much water as a Canada goose drinks. How much water can a bobcat drink in one day? _____ liter

Answer: 0.72 liters

Explanation: Each day a bobcat drinks about 3 times as much water as a Canada goose drinks. Canada goose = 0.24 liters bobcat drinks = 3 x 0.24 3 x 0.24 = 0.72 liters

Question 10. River otters drink about 5 times as much water as a bald eagle drinks in a day. How much water can a river otter drink in one day? _____ liter

Answer: 0.8 liter

Explanation: River otters drink about 5 times as much water as a bald eagle drinks in a day. bald eagle drinks 0.16 liters 5 times as 0.16 liters = 5 x 0.16 = 0.8 liter

Question 11. Explain how you could use a quick picture to find the amount of water that a cat drinks in 5 days. Type below: ________

Explanation: Cat drinks 0.15 liters of water in a day. In 5 days, 5 x 0.15 = 0.75

Question 12. Test Prep Jared has a parakeet that weighs 1.44 ounces. Susie has a Senegal parrot that weighs 3 times as much as Jared’s parakeet. How many ounces does Susie’s parrot weigh? Options: a. 0.32 ounce b. 0.43 ounce c. 4.32 ounces d. 43.2 ounces

Answer: c. 4.32 ounces

Explanation: Jared has a parakeet that weighs 1.44 ounces. Susie has a Senegal parrot that weighs 3 times as much as Jared’s parakeet. Susie’s parrot weigh 3 x 1.44 ounces = 4.32 ounces

Share and Show – Page No. 171

Place the decimal point in the product.

Question 1. 6.81 ×   7 ———- 4767 Think: The place value of the decimal factor is hundredths.

Answer: 6.81 x 7 = 47.67

Explanation: 6.81 x 7 = 7 x 6.81 7 x (6 + 0.81) = (7 x 6) + (7 x 0.81) = 42 + 5.67 = 47.67

Question 2. 3.7 × 2 ———- 74 _____

Answer: 7.4

Explanation: 3.7 x 2 3.7 x 10 = 37 37 x 2 = 74 37 x 0.1 = 3.7 74 x 0.1 = 7.4

Question 3. 19.34 ×    5 ———- 9670 _____

Answer: 96.7

Explanation: 19.34 x 100 = 1934 1934 x 5 = 9670 1934 x 0.01 = 19.34 9670 x 0.01 = 96.7

Find the product.

Question 4. 6.32 ×  3 ———- _____

Answer: 18.96

Explanation: 6.32 x 100 = 632 632 x 3 = 1896 632 x 0.01 = 6.32 1896 x 0.01 = 18.96

Question 5. 4.5 × 8 ———- _____

Explanation: 4.5 x 10 = 45 45 x 8 = 360 45 x 0.1 = 4.5 360 x 0.1 = 36.0

Question 6. 40.7 ×  5 ———- _____

Answer: 203.5

Explanation: 40.7 x 10 = 407 407 x 5 = 2035 407 x 0.1 = 40.7 2035 x 0.1 = 203.5

Question 7. 4.93 ×   7 ———- _____

Answer: 34.51

Explanation: 7 x 3 = 21 hundredths; 2 tenths and 1 hundredths 7 x 9 = 63 tenths; 63 + 2 tenths = 65 tenths; 6 ones and 5 tenths 4 x 7 = 28; 28 + 6 = 34 ones; 34.51

Question 8. 8.2 × 6 ———- _____

Answer: 49.2

Explanation: 6 x 2 = 12 tenths; 1 ones and 2 tenths 6 x 8 = 48; 48 + 1 = 49 ones 49.2

Question 9. 0.49 ×   4 ———- _____

Answer: 1.96

Explanation: 9 x 4 = 36 hundredths; 3 tenths and 6 hundredths 4 x 4 = 16 tenths; 16 + 3 tenths = 19 tenths; 1 ones and 9 tenths 4 x 0 = 0; 0 + 1 = 1ones; 1.96

Question 10. 9.08 ×   9 ———- _____

Answer: 81.72

Explanation: 9 x 8 = 72 hundredths; 7 tenths and 2 hundredths 9 x 0 = 0 tenths; 0 + 7 tenths = 7 tenths; 7 tenths 9 x 9 = 81; 81 81.72

Question 11. 7.55 ×  8 ———- _____

Answer: 60.4

Explanation: 8 x 5 = 40 hundredths; 4 tenths and 0 hundredths 8 x 5 = 40 tenths; 40 + 4 tenths = 44 tenths; 4 ones and 4 tenths 8 x 7 = 56 ones; 56 + 4 = 60 ones 60.40 = 60.4

Question 12. 15.37 ×    5 ———- _____

Answer: 76.85

Explanation: 5 x 7 = 35 hundredths; 3 tenths and 5 hundredths 5 x 3 = 15 tenths; 15 + 3 tenths = 18 tenths; 1 ones and 8 tenths 5 x 5 = 25 ones; 25 + 1 = 26 ones; 2 hundreds and 6 ones 5 x 1 = 5 hundreds; 5 + 2 = 7 hundreds 76.85

Practice: Copy and Solve Find the product.

Question 13. 8 × 7.2 = _____

Answer: 8 × 7.2 = 57.6

Explanation: 8 × 7.2 = 8 x (7 + 0.2) = (8 x 7) + (8 x 0.2) = 56 + 1.6 = 57.6

Question 14. 3 × 1.45 = _____

Answer: 3 × 1.45 = 4.35

Explanation: 3 x 1.45 = 3 x (1 + 0.45) = (3 x 1) + (3 x 0.45) = 3 + 1.35 = 4.35

Question 15. 9 × 8.6 = _____

Answer: 9 × 8.6 = 77.4

Explanation: 9 × 8.6 = 9 x (8 + 0.6) = (9 x 8) + (9 x 0.6) = 72 + 5.4 = 77.4

Question 16. 6 × 0.79 = _____

Answer: 6 × 0.79 = 4.74

Explanation: 6 x 0.79 = 4.74

Question 17. 4 × 9.3 = _____

Answer: 4 × 9.3 = 37.2

Explanation: 4 × 9.3 = 4 x (9 + 0.3) = (4 x 9) + (4 x 0.3) = 36 + 1.2 = 37.2

Question 18. 7 × 0.81 = _____

Answer: 7 × 0.81 = 5.67

Explanation: 7 × 0.81 = 5.67

Question 19. 6 × 2.08 = _____

Answer: 6 × 2.08 = 12.48

Explanation: 6 × 2.08 = 6 x (2 + 0.08) = (6 x 2) + (6 x 0.08) = 12 + 0.48 = 12.48

Question 20. 5 × 23.66 = _____

Answer: 5 × 23.66 = 118.3

Explanation: 5 × 23.66 = 5 x (23 + 0.66) = (5 x 23) + (5 x 0.66) = 115 + 3.3 = 118.3

Problem Solving – Page No. 172

Question 21. Sari has a bag containing 6 half dollars. What is the weight of the half dollars in Sari’s bag? _____ grams

Answer: 68.04 grams

Explanation: Sari has a bag containing 6 half dollars. Half dollars = 11.34 grams 6 x 11.34 = 68.04 grams The weight of the half dollars in Sari’s bag is 68.04 grams.

Question 22. Felicia is running a game booth at a carnival. One of the games requires participants to guess the weight, in grams, of a bag of 9 dimes. What is the actual weight of the dimes in the bag? _____ grams

Answer: 20.43 grams

Explanation: Felicia is running a game booth at a carnival. One of the games requires participants to guess the weight, in grams, of a bag of 9 dimes. 9 x 2.27 grams = 20.43 grams

Question 23. Chance has $2 in quarters. Blake has $5 in dollar coins. Whose coins have the greatest weight? Explain. _________

Answer: Dollar coins has the greatest weight than quarters.

Explanation: $2 means 4 quarters = 4 x 5.67 = 22.68 $5 in dollar coins = 5 x 8.1 = 40.5 Dollar coins has the greatest weight than quarters.

Question 24. Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer. Type below: _________

Answer: 6.27 has two decimal digits 438.9 has one decimal digit Therefore, Julie’s answer is not correct. 6.27 x 7 = 43.89

Question 25. Test Prep Every day on his way to and from school, Milo walks a total of 3.65 miles. If he walks to school 5 days, how many miles will Milo have walked? _____ miles

Answer: 18.25 miles

Explanation: Milo walks a total of 3.65 miles. If he walks to school 5 days, 5 x 3.65 = 18.25 miles

Share and Show – Page No. 175

Draw a model to find the product.

Explanation: 19 × 0.75 19 = 10 + 9 0.75 = 0.7 + 0.05 10 x 0.7 = 7 10 x 0.05 = 0.5 9 x 0.7 = 6.3 9 x 0.05 = 0.45 7 + 0.5 + 6.3 + 0.45 = 14.25 19 × 0.75 = 14.25

Question 2. 27 × 8.3 = _____

Explanation: 27 × 8.3 = 224.1 27 = 20 + 7 8.3 = 8 + 0.3 20 x 8 = 160 20 x 0.3 = 6 7 x 8 = 56 7 x 0.3 = 2.1 160 + 6 + 56 + 2.1 = 224.1

Question 3. 18 × 8.7 = _____

Answer: 18 × 8.7 = 156.6

Explanation: 8.7 x 10 = 87 18 x 87 = 1566 87 x 0.1 = 8.7 1566 x 0.1 = 156.6

Question 4. 23 × 56.1 = _____

Answer: 1290.3

Explanation: 56.1 x 10 = 561 561 x 23 = 12,903 561 x 0.1 = 56.1 12,903 x 0.1 = 1290.3

Question 5. 47 × 5.92 = _____

Answer: 278.24

Explanation: 5.92 x 100 = 592 592 x 47 = 27,824 592 x 0.01 = 5.92 27,824 x 0.01 = 278.24

Question 6. 71 × 8.3 = _____

Explanation: 71 = 70 + 1 8.3 = 8 + 0.3 70 x 8 = 560 70 x 0.3 = 21 1 x 8 = 8 1 x 0.3 = 0.3 560 + 21 + 8 + 0.3 = 589.3

Question 7. 28 × 0.91 = _____

Explanation: 28 = 20 + 8 0.91 = 0.90 + 0.01 20 x 0.90 = 18 20 x 0.01 = 0.2 8 x 0.90 = 7.2 8 x 0.01 = 0.08 18 + 0.2 + 7.2 + 0.08 = 25.48

Question 8. 19 × 0.65 = _____

Answer: 19 × 0.65 = 12.35

Explanation: 0.65 x 100 = 65 65 x 19 = 1235 65 x 0.01 = 0.65 1235 x 0.01 = 12.35

Question 9. 34 × 98.3 = _____

Answer: 34 × 98.3 = 3342.2

Explanation: 98.3 x 10 = 983 983 x 34 = 33,422 983 x 0.1 = 98.3 33,422 x 0.1 = 3342.2

Question 10. 26 × 16.28 = _____

Answer: 26 × 16.28 = 423.28

Explanation: 16.28 x 100 = 1628 1628 x 26 = 42,328 1628 x 0.01 = 16.28 42,328 x 0.01 = 423.28

UNLOCK the Problem – Page No. 176

Answer: We need to find How many hours are in 2 weeks on Earth? 2 weeks x 23.93 hours per day?

Question 11. b. What information do you need to know to solve the problem? Type below: _________

Answer: Number of days in a week Hours per day

Question 11. c. Write an expression to represent the problem to be solved. Type below: _________

Answer: 2 weeks = 14 days 14 x 23.93 hours

Question 11. d. Show the steps you used to solve the problem. Type below: _________

Answer: 335.02 hours

Explanation: 23.93 = 23.93 x 100 = 2393 2393 x 14 = 33,502 2393 x 0.01 = 23.93 33502 x 0.01 = 335.02

Question 11. e. Complete the sentences. On Earth, there are about _____ hours in a day, _____ days in 1 week, and _____ days in two weeks. Since _____ × _____ = _____ , there are about _____ hours in 2 weeks on Earth. Type below: _________

Answer: On Earth, there are about 23.93 hours in a day,  7 days in 1 week, and 14 days in two weeks. Since 23.93 × 14 = 335.02, there are about 335.02 hours in 2 weeks on Earth.

Question 12. Michael’s favorite song is 3.19 minutes long. If he listens to the song 15 times on repeat, how long will he have listened to the same song? _____ minutes

Answer: 47.85 minutes

Explanation: Michael’s favorite song is 3.19 minutes long. If he listens to the song 15 times, 15 x 3.19 = 47.85 minutes

Question 13. Test Prep A car travels 56.7 miles in an hour. If it continues at the same speed, how far will the car travel in 12 hours? Options: a. 68.004 miles b. 680.04 miles c. 680.4 miles d. 6,804 miles

Answer: c. 680.4 miles

Explanation: A car travels 56.7 miles in an hour. In 12 hours, 12 x 56.7 = 680.4 hours

Share and Show – Page No. 179

Question 1. Manuel collects $45.18 for a fundraiser. Gerome collects $18.07 more than Manuel. Cindy collects 2 times as much as Gerome. How much money does Cindy collect for the fundraiser? First, draw a diagram to show the amount Manuel collects. Then, draw a diagram to show the amount Gerome collects. Next, draw a diagram to show the amount Cindy collects. Finally, find the amount each person collects. Cindy collects ______ for the fundraiser. Type below: _________

Question 2. What if Gerome collects $9.23 more than Manuel? If Cindy still collects 2 times as much as Gerome, how much money would Cindy collect? Type below: _________

Answer: Gerome collects $9.23 more than Manuel Manuel: $45.18 Gerome: $45.18 + $9.23 = $54.41 Cindy: 2 x $54.41 = $108.82

Question 3. It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost is decreased to $3.75 per hour. How much would it cost to rent a kayak for 6 hours? $ ______

Answer: $29.5

Explanation: It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost is decreased to $3.75 per hour. For first 5 hours, $5.15 Next hour after 5 hours, it decreased to $3.75 For 6 hours, 5 x $5.15 + 1 x $3.75 5 x $5.15 = $25.75 1 x $3.75 = $3.75 $25.75 + $3.75 = $29.5

Question 4. Jenn buys a pair of jeans for $24.99. Her friend Karen spends $3.50 more for the same pair of jeans. Vicki paid the same price as Karen for the jeans but bought 2 pairs. How much did Vicki spend? $ ______

Answer: $56.98

Explanation: Jenn buys a pair of jeans for $24.99. Karen: $24.99 + $3.50 = $28.49 Vicky: 2 x $28.49 = $56.98

On Your Own – Page No. 180

Question 5. Austin shops at Surfer Joe’s Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and a towel. If he gives the cashier $60, how much change will Austin get back? $ ______

Answer: $2.86

Explanation: T-Shirt = $12.75 Board Shorts = $25.99 Sandals = $8.95 Towel = $5.65 Sunglasses = $15.50 Austin shops at Surfer Joe’s Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and a towel. (2 x $12.75) + ($25.99) + $5.65 = $25.5 + $31.64 = $57.14 $60 – $57.14 = $2.86

Question 6. Maria buys 3 T-shirts and 2 pairs of sandals at Surfer Joe’s Surf Shop. How much does Maria spend? $ ______

Answer: $56.15

Explanation: Maria buys 3 T-shirts and 2 pairs of sandals at Surfer Joe’s Surf Shop. 3 x $12.75 = $38.25 2 x $8.95 = $17.9 $38.25 + $17.9 = $56.15

Question 7. Nathan receives a coupon in the mail for $10 off of a purchase of $100 or more. If he buys 3 pairs of board shorts, 2 towels, and a pair of sunglasses, will he spend enough to use the coupon? How much will his purchase cost? Type below: _________

Answer: $94.77

Explanation: 3 pairs of board shorts, 2 towels, and a pair of sunglasses 3 x $25.99 = $77.97 2 x $5.65 = $11.3 Sunglasses = $15.50 $77.97 + $11.3 + $15.50 = $104.77 $10 off of a purchase of $100 or more $104.77 – $10 = $94.77

Question 8. Moya spends $33.90 on 3 different items. If she did not buy board shorts, which three items did Moya buy? Type below: _________

Answer: T-Shirt, Towel, and Sunglasses

Explanation: Moya spends $33.90 on 3 different items. If she did not buy board shorts, T-Shirt = $12.75 Towel = $5.65 Sunglasses = $15.50

Question 9. Test Prep At a donut shop in town, each donut costs $0.79. If Mr. Thomas buys a box of 8 donuts, how much will he pay for the donuts? Options: a. $6.32 b. $8.79 c. $63.20 d. $87.90

Answer: a. $6.32

Explanation: At a donut shop in town, each donut costs $0.79. If Mr. Thomas buys a box of 8 donuts, 8 x $0.79 = $6.32

Concepts and Skills

Question 1. Explain how you can use a quick picture to find 3 × 2.7. Type below: ________

Answer: 3 × 2.7 = 8.1; As there are 8 ones and 1 tenths, we can draw eight square boxes and 1 line to represent 1 tenth.

Question 2. 1 × 3.6 = _______ 10 × 3.6 = _______ 100 × 3.6 = _______ 1000 × 3.6 = _______

Answer: 1 × 3.6 = 3.6 10 × 3.6 = 36 100 × 3.6 = 360 1000 × 3.6 = 3,600

Question 3. 10 0 × 17.55 = _______ 10 1 × 17.55 = _______ 10 2 × 17.55 = _______ 10 3 × 17.55 = _______

Answer: 10 0 × 17.55 = 17.55 10 1 × 17.55 = 175.5 10 2 × 17.55 = 1755 10 3 × 17.55 = 17,550

Explanation: 10 0 × 17.55 = 1 x 17.55 = 17.55 10 1 × 17.55 = 10 x 17.55 = 175.5 10 2 × 17.55 = 100 x 17.55 = 1755 10 3 × 17.55 = 1000 x 17.55 = 17,550

Question 4. 1 × 29 = _______ 0.1 × 29 = _______ 0.01 × 29 = _______

Answer: 1 × 29 = 29 0.1 × 29 = 2.9 0.01 × 29 = 0.29

Question 5. 3.14 ×   8 ———– _____

Answer: 25.12

Explanation: 8 x (3.14) = 8 x (3 + 0.14) = (8 x 3) + (8 x 0.14) = 24 + 1.12 = 25.12

Question 6. 17 × 0.67 = _____

Answer: 11.39

Explanation: 0.67 x 100 = 67 67 x 17 = 1139 67 x 0.01 = 0.67 1139 x 0.01 = 11.39

Question 7. 29 × 7.3 = _____

Answer: 211.7

Explanation: 29 × 7.3 = 29 x (7 + 0.3) = (29 x 7) + (29 x 0.3) = 203 + 8.7 = 211.7

Draw a diagram to solve.

Question 8. Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend? Julie: $ _______ Micah: $ _______ Jeremy: $ _______

Mid-Chapter Checkpoint – Page No. 182

Question 9. Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs? _____ inches

Answer: 3680 inches

Explanation: Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, 3.68 x 1,000 = 3680 inches

Question 10. Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying? _____ pounds

Answer: 15.4 pounds

Explanation: Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, 4 x 3.85 = 15.4 pounds.

Question 11. A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? _____ miles

Answer: 658.8 miles

Explanation: A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, 12 x 54.9 = 658.8 miles

Question 12. Charlie saves $21.45 each month for 6 months. In the seventh month, he only saves $10.60. How much money will Charlie have saved after 7 months? $ __________

Answer: $139.3

Explanation: Charlie saves $21.45 each month for 6 months. In the seventh month, he only saves $10.60. 6 x $21.45 + $10.60 = $128.7 + $10.60 = $139.3

Share and Show – Page No. 185

Multiply. Use the decimal model.

Explanation: The shaded and crossed parts represent the product. 32 hundredths = 0.32

Explanation: Count the number of overlapped boxes to find the product. 7 tenths = 0.7

Explanation: Count the red line crossed boxes to get the product. 4 x 16 = 64 0.1 x 0.1 = 0.01 64 x 0.01 = 0.64

Explanation: 3 x 4 = 12 0.1 x 0.1 = 0.01 12 x 0.01 = 0.12

Explanation: 9 x 6 = 54 0.1 x 0.1 = 0.01 54 x 0.01 = 0.54

Explanation: Count the red line crossed boxes to get the product. 5 x 12 = 60 0.1 x 0.1 = 0.01 60 x 0.01 = 0.60

Explanation: 8 x 9 = 72 0.1 x 0.1 = 0.01 72 x 0.01 = 0.72

Explanation: 5 x 3 = 15 0.1 x 0.1 = 0.01 15 x 0.01 = 0.15

Explanation: Count the red line crossed boxes to get the product. 5 x 15 = 75 0.1 x 0.1 = 0.01 75 x 0.01 = 0.75

Question 10. Explain why when you multiply and find one tenth of one tenth, it is equal to one hundredth. Type below: _________

Answer: When you do one-tenth of one-tenth, it is one-tenth over 10 —-> (1/10) /10 So, you can consider it as (1/10) / (10/1). This is only for simplicity. Now, you have to multiply the denominator of the fraction in the numerator with the numerator of fraction in denominator i.e., 10 with 10 and this comes in denominator only. and numerator of fraction in the numerator with the denominator of the fraction in denominator i.e., 1 with 1. So, you get, (1*1) / (10*10) = 1/100 This is again the 10th part of one-tenth OR 100th part of 1 = one hundredth

Problem Solving – Page No. 186

Sense or Nonsense?

Answer: Randy’s Model is correct. Stacy’s Model makes nonsense. Because Stacy’s Model is showing 0.10 x 0.8 which is not equal to 0.3 x 0.5

Explanation: Randy and Stacy used models to find 0.3 of 0.5 0.3 x 0.5 = 0.15

Share and Show – Page No. 188

Question 1. 3.62 × 1.4 ———-

5068 Think: A hundredth is being multiplied by a tenth. Use the pattern 0.01 × 0.1. ___

Answer: 5.068

Explanation: 3.62 x 100 = 362 = 362 x 0.01 1.4 x 10 = 14 = 14 x 0.1 362 x 14 = 5068 0.01 x 0.1 = 0.001 5068 x 0.001 = 5.068

Question 2. 6.8 ×1.2 ———- 816 _____

Answer: 8.16

Explanation: 6.8 x 10 = 68 = 68 x 0.1 1.2 x 10 = 12 = 12 x 0.1 68 x 12 = 816 0.1 x 0.1 = 0.01 816 x 0.01 = 8.16

Question 3. 0.9 × 0.8 ———- _____

Answer: 0.72

Explanation: 0.9 x 10 = 9 = 9 x 0.1 0.8 x 10 = 8 = 8 x 0.1 9 x 8 = 72 0.1 x 0.1 = 0.01 72 x 0.01 = 0.72

Question 4. 84.5 ×  5.5 ———- _____

Answer: 464.75

Explanation: 84.5 x 10 = 845 = 845 x 0.1 5.5 x 10 = 55 = 55 x 0.1 845 x 55 = 46475 0.1 x 0.1 = 0.01 46475 x 0.01 = 464.75

Question 5. 2.39 ×2.7 ———- _____

Answer: 6.453

Explanation: 2.39 x 100 = 239 = 239 x 0.01 2.7 x 10 = 27 = 27 x 0.1 239 x 27 = 6453 0.01 x 0.1 = 0.001 6453 x 0.001 = 6.453

On Your Own – Page No. 189

Question 6. 7.9 × 3.4 ———- _____

Answer: 26.86

Explanation: 7.9 x 10 = 79 = 79 x 0.1 3.4 x 10 = 34 = 34 x 0.1 79 x 34 = 2686 0.1 x 0.1 = 0.01 2686 x 0.01 = 26.86

Question 7. 9.2 ×5.6 ———- _____

Answer: 51.52

Explanation: 9.2 x 10 = 92 = 92 x 0.1 5.6 x 10 = 56 = 56 x 0.1 92 x 56 = 5152 0.1 x 0.1 = 0.01 5152 x 0.01 = 51.52

Question 8. 3.45 × 9.7 ———- _____

Answer: 33.465

Explanation: 3.45 x 100 = 345 = 345 x 0.01 9.7 x 10 = 97 = 97 x 0.1 345 x 97 = 33465 0.01 x 0.1 = 0.001 33465 x 0.001 = 33.465

Question 9. 45.3 × 0.8 ———- _____

Answer: 36.24

Explanation: 45.3 x 10 = 453 = 453 x 0.1 0.8 x 10 = 8 = 8 x 0.1 453 x 8 = 3624 0.1 x 0.1 = 0.01 3624 x 0.01 = 36.24

Question 10. 6.98 × 2.5 ———- _____

Answer: 17.450

Explanation: 6.98 x 100 = 698 = 698 x 0.01 2.5 x 10 = 25 = 25 x 0.1 698 x 25 = 17,450 0.01 x 0.1 = 0.001 17450 x 0.001 = 17.450

Question 11. 7.02 ×3.4 ———- _____

Answer: 23.868

Explanation: 7.02 x 100 = 702 = 702 x 0.01 3.4 x 10 = 34 = 34 x 0.1 702 x 34 = 23868 0.01 x 0.1 = 0.001 23868 x 0.001 = 23.868

Question 12. 14.9 ×0.35 ———- _____

Answer: 5.215

Explanation: 14.9 x 10 = 149 = 149 x 0.1 0.35 x 100 = 35 = 35 x 0.01 149 x 35 = 5215 0.1 x 0.01 = 0.001 5215 x 0.001 = 5.215

Question 13. 50.99 ×  3.7 ———- _____

Answer: 188.663

Explanation: 50.99 x 100 = 5099 = 5099 x 0.01 3.7 x 10 = 37 = 37 x 0.1 5099 x 37 = 188663 0.01 x 0.1 = 0.001 188663 x 0.001 = 188.663

Question 14. 18.43 ×  1.9 ———- _____

Answer: 35.017

Explanation: 18.43 x 100 = 1843 = 1843 x 0.01 1.9 x 10 = 19 = 19 x 0.1 1843 x 19 = 35017 0.01 x 0.1 = 0.001 35017 x 0.001 = 35.017

Question 15. 3.4 × 5.2 = _____

Answer: 17.68

Explanation: 3.4 × 5.2 34 x 52 = 1768 0.1 x 0.1 = 0.01 1768 x 0.01 = 17.68

Question 16. 0.9 × 2.46 = _____

Answer: 2.214

Explanation: 9 x 246 = 2214 0.1 x 0.01 = 0.001 2214 x 0.001 = 2.214

Question 17. 9.1 × 5.7 = ____

Answer: 51.87

Explanation: 91 x 57 = 5187 0.1 x 0.1 = 0.01 5187 x 0.01 = 51.87

Question 18. 4.8 × 6.01 = _____

Answer: 28.848

Explanation: 48 x 601 = 28848 0.1 x 0.01 = 0.001 28848 x 0.001 = 28.848

Question 20. 7.6 × 18.7 = _____

Answer: 142.12

Explanation: 76 x 187 = 14212 0.1 x 0.1 = 0.01 14212 x 0.01 = 142.12

Question 21. 0.77 × 14.9 = _____

Answer: 114.73

Explanation: 77 x 149 = 11473 0.01 x 0.1 = 0.01 11473 x 0.01 = 114.73

Question 22. 3.3 × 58.14 = _____

Answer: 191.862

Explanation: 33 x 5814 = 191862 0.1 x 0.01 = 0.001 191862 x 0.001 = 191.862

Problem Solving – Page No. 190

Question 23. Charlie has an adult Netherlands dwarf rabbit that weighs 1.2 kilograms. Cliff’s adult Angora rabbit weighs 2.9 times as much as Charlie’s rabbit. How much does Cliff’s rabbit weigh? _____ kilograms

Answer: 3.48 kilograms

Explanation: Charlie has an adult Netherlands dwarf rabbit that weighs 1.2 kilograms. Cliff’s adult Angora rabbit weighs 2.9 times as much as Charlie’s rabbit. 1.2 x 2.9 = 3.48 kilograms

Question 24. John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John’s. What will be the area of the enclosure Taylor is planning to build? _____ square feet

Answer: 67.584 square feet

Explanation: John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John’s. 30.72 x 2.2 = 67.584 square feet

Question 25. A zoo is planning a new building for the penguin exhibit. First, they made a model that was 1.3 meters tall. Then, they made a more detailed model that was 1.5 times as tall as the first model. The building will be 2.5 times as tall as the height of the detailed model. What will be the height of the building? _____ meters

Answer: 4.875 meters

Explanation: A zoo is planning a new building for the penguin exhibit. First, they made a model that was 1.3 meters tall. Then, they made a more detailed model that was 1.5 times as tall as the first model. 1.3 x 1.5 = 1.95 The building will be 2.5 times as tall as the height of the detailed model. 2.5 x 1.95 = 4.875 meters

Question 26. Leslie and Paul both solve the multiplication problem 5.5 x 4.6. Leslie says the answer is 25.30. Paul says the answer is 25.3. Whose answer is correct? Explain your reasoning. Type below: _________

Answer: Both answers are correct. Because 25.30 = 25.3. The zeros have no value after the decimal point of a number.

Explanation: 5.5 x 4.6 55 x 46 = 2530 0.1 x 0.1 = 0.01 2530 x 0.01 = 25.30 = 25.3

Question 27. Test Prep A vine in Mr. Jackson’s garden is 3.6 feet long. When it is measured again, it is 2.1 times as long. How long is the vine? Options: a. 5.7 feet b. 6.6 feet c. 7.5 feet d. 7.56 feet

Answer: a. 5.7 feet

Explanation: A vine in Mr. Jackson’s garden is 3.6 feet long. When it is measured again, it is 2.1 times as long. 3.6 + 2.1 = 5.7 feet

Share and Show – Page No. 193

Write zeros in the product.

Question 1. 0.05 × 0.7 ———-

Explanation:

□35 Think: Hundredths are multiplied by tenths. What should be the place value of the product? _____

Answer: 0.035

Explanation: 5 x 7 = 35 0.01 x 0.1 = 0.001 35 x 0.001 = 0.035

Question 2. 0.2 × 0.3 ———- _____

Answer: 0.06

Explanation: 2 x 3 = 6 0.1 x 0.1 = 0.01 6 x 0.01 = 0.06

Question 3. 0.02 × 0.2 ———- _____

Answer: 0.004

Explanation: 2 x 2 = 4 0.01 x 0.1 = 0.001 4 x 0.001 = 0.004

Question 4. $0.05 × 0.8 ———- $ _____

Answer: $0.04

Explanation: 5 x 8 = 40 0.01 x 0.1 = 0.001 40 x 0.001 = 0.040 = 0.04

Question 5. 0.09 × 0.7 ———- _____

Answer: 0.063

Explanation: 9 x 7 = 63 0.01 x 0.1 = 0.001 63 x 0.001 = 0.063

Question 6. 0.2 × 0.1 ———- _____

Answer: 0.02

Explanation: 2 x 1 = 2 0.1 x 0.1 = 0.01 2 x 0.01 = 0.02

Question 7. 0.3 × 0.3 ———- _____

Answer: 0.09

Explanation: 3 x 3 = 9 0.1 x 0.1 = 0.01 9 x 0.01 = 0.09

Question 8. 0.05 × 0.3 ———- _____

Answer: 0.015

Explanation: 5 x 3 = 15 0.01 x 0.1 = 0.001 15 x 0.001 = 0.015

Question 9. 0.02 × 0.4 ———- _____

Answer: 0.008

Explanation: 2 x 4 = 8 0.01 x 0.1 = 0.001 8 x 0.001 = 0.008

Question 10. $0.40 × 0.1 ———- $ _____

Explanation: 40 x 1 = 40 0.10 x 0.1 = 0.010 40 x 0.010 = 0.04

Question 11. 0.09 × 0.2 ———- _____

Answer: 0.018

Explanation: 9 x 2 = 18 0.01 x 0.1 = 0.001 18 x 0.001 = 0.018

Question 12. $ 0.05 × 0.6 ———- _____

Answer: $0.3

Explanation: 5 x 6 = 30 0.01 x 0.1 = 0.001 30 x 0.001 = 0.30 = 0.3

Question 13. 0.04 × 0.5 ———- _____

Answer: 0.020

Explanation: 4 x 5 = 20 0.01 x 0.1 = 0.001 20 x 0.001 = 0.020

Question 14. 0.06 × 0.8 ———- _____

Answer: 0.048

Explanation: 6 x 8 = 48 0.01 x 0.1 = 0.001 48 x 0.001 = 0.048

Algebra Find the value of n.

Question 15. 0.03 × 0.6 = n n = _____

Answer: n = 0.018

Explanation: 0.03 × 0.6 = n 0.018 = n n = 0.018

Question 16. n × 0.2 = 0.08 n = _____

Answer: n = 0.4

Explanation: n × 0.2 = 0.08 n = 0.08/0.2 n = 0.4

Question 17. 0.09 × n = 0.063 n = _____

Answer: n = 0.7

Explanation: 0.09 × n = 0.063 n = 0.063/0.09 n = 0.7

Page No. 194

Answer: We need to find how far snail travels on 0.2 times as far as the average distance in a day?

Question 18. b. What information will you use to solve the problem? Type below: _________

Answer: On an average day, a garden snail can travel about 0.05 miles. 0.2 times as far as the average distance in a day

Question 18. c. How will you use multiplication and place value to solve the problem? Type below: _________

Answer: 0.2 x 0.05

Question 18. d. Show how you will solve the problem. Type below: _________

Answer: 2 x 5 = 10 0.1 x 0.01 = 0.001 10 x 0.001 = 0.010 = 0.01

Question 18. e. Fill in the bubble for the correct answer choice above. Options: a. 0.7 mile b. 0.25 mile c. 0.1 mile d. 0.01 mile

Answer: d. 0.01 mile

Question 19. In a science experiment, Tania uses 0.8 ounce of water to create a reaction. She wants the next reaction to be 0.1 times the size of the previous reaction. How much water should she use? Options: a. 0.08 ounce b. 0.09 ounce c. 0.8 ounce d. 0.9 ounce

Answer: a. 0.08 ounce

Explanation: In a science experiment, Tania uses 0.8 ounce of water to create a reaction. She wants the next reaction to be 0.1 times the size of the previous reaction. 0.8 x 0.1 = 0.08 ounce

Question 20. Michael multiplies 0.2 by a number. He records the product as 0.008. What number did Michael use? Options: a. 0.016 b. 0.04 c. 0.28 d. 0.4

Answer: b. 0.04

Explanation: Michael multiplies 0.2 by a number. He records the product as 0.008. 0.2 x n = 0.008 n = 0.008/0.2 n = 0.04 Michael use 0.04

Chapter Review/Test – Page No. 195

Check Concepts

Question 1. Explain how estimation helps you to place the decimal point when multiplying 3.9 × 5.3. Type below: _________

Answer: 3.9 × 5.3 39 x 53 = 2067 0.1 x 0.1 = 0.01 2067 x 0.01 = 20.67

Question 2. 1 × 7.45 = _______ 10 × 7.45 = _______ 100 × 7.45 = _______ 1,000 × 7.45 = _______

Answer: 1 × 7.45 = 7.45 10 × 7.45 = 74.5 100 × 7.45 = 745 1,000 × 7.45 = 7,450

Question 3. 10 0 × 376.2 = _______ 10 1 × 376.2 = _______ 10 2 × 376.2 = _______ 10 3 × 376.2 = _______

Answer: 10 0 × 376.2 = 376.2 10 1 × 376.2 = 3,762 10 2 × 376.2 = 37,620 10 3 × 376.2 = 376,200

Explanation: 10 0 × 376.2 = 1 x 376.2 = 376.2 10 1 × 376.2 = 10 x 376.2 = 3,762 10 2 × 376.2 = 100 x 376.2 =  37,620 10 3 × 376.2 = 1000 x 376.2 = 376,200

Question 4. 1 × 191 = _______ 0.1 × 191 = _______ 0.01 × 191 = _______

Answer: 1 × 191 = 191 0.1 × 191 = 19.1 0.01 × 191 = 1.91_

Question 5. 5 × 0.89 = _____

Answer: 4.45

Explanation: 5 × 0.89 5 x 9 = 45 hundredths; 4 tenths and 5 hundredths 5 x 8 = 40 tenths; 40 + 4 tenths = 44 tenths; 4 ones and 4 tenths 5 x 0 = 0; 0 + 4 = 4 ones 4.45

Question 6. 9 × 2.35 = _____

Answer: 21.15

Explanation: 9 × 2.35 9 x 5 = 45 hundredths; 4 tenths and 5 hundredths 9 x 3 = 27 tenths; 27 + 4 tenths = 31 tenths; 3 ones and 1 tenth 9 x 2 = 18; 18 + 3 = 21 ones 21.15

Question 7. 23 × 8.6 = _____

Answer: 197.8

Explanation: 23 x 8.6 23 x 6 = 138 tenths; 13 ones and 8 tenths 23 x 8 = 184 ones; 184 + 13 = 197 ones 197.8

Question 8. 7.3 × 0.6 = _____

Answer: 4.38

Explanation: 73 x 6 = 438 0.1 x 0.1 = 0.01 438 x 0.01 = 4.38

Question 9. 0.09 × 0.7 = _____

Question 10. 0.8 × $0.40 = $ _____

Answer: $0.32

Explanation: 8 x 4 = 32 0.1 x 0.1 = 0.01 32 x 0.01 = 0.32

Question 11. In January, Dawn earns $9.25 allowance. She earns 3 times as much in February. If during March, she earns $5.75 more than she did in February, how much allowance does Dawn earn in March? $ _________

Answer: $33.5

Explanation: In January, Dawn earns $9.25 allowance. February: 3 x $9.25 = $27.75 March: $27.75 + $5.75 = $33.5

Chapter Review/Test – Page No. 196

Fill in the bubble completely to show your answer.

Question 12. Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week? Options: A. 18 miles B. 15.3 miles C. 11 miles D. 8.6 miles

Answer: A. 18 miles

Explanation: Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. 3.6 x 5 = 18 miles

Question 13. To earn money for his vacation, Grayson works at a local shop on weekends. His job is to cut bricks of fudge into 0.25 pound squares. If he cuts 36 equal-sized squares on Saturday, how many pounds of fudge has Grayson cut? Options: A. 7.25 pounds B. 9 pounds C. 90 pounds D. 72.5 pounds

Answer: B. 9 pounds

Explanation: To earn money for his vacation, Grayson works at a local shop on weekends. His job is to cut bricks of fudge into 0.25 pound squares. If he cuts 36 equal-sized squares on Saturday, 0.25 x 36 = 9 pounds

Question 14. James is making a scale model of his bedroom. The model is 0.6 feet wide. If the actual room is 17.5 times as wide as the model, what is the width of James’s room? Options: A. 18.1 feet B. 17.11 feet C. 16.9 feet D. 10.5 feet

Answer: D. 10.5 feet

Explanation: James is making a scale model of his bedroom. The model is 0.6 feet wide. If the actual room is 17.5 times as wide as the model, 0.6 x 17.5 = 10.5 feet

Question 15. The cost of admission to the matinee showing at a movie theater is $6.75. If 7 friends want to see the matinee showing of their favorite movie, how much will it cost? Options: A. $11.25 B. $14.75 C. $42.75 D. $47.25

Answer: D. $47.25

Explanation: The cost of admission to the matinee showing at a movie theater is $6.75. If 7 friends want to see the matinee showing of their favorite movie, 7 x $6.75 = $47.25

Chapter Review/Test – Page No. 197

Question 16. On Friday, Gail talks for 38.4 minutes on her cell phone. On Saturday, she uses 5.5 times as many minutes as she did on Friday. How long does Gail talk on her cell phone on Saturday? Options: A. 2.112 minutes B. 21.12 minutes C. 211.2 minutes D. 2,112 minutes

Answer: C. 211.2 minutes

Explanation: On Friday, Gail talks for 38.4 minutes on her cell phone. On Saturday, she uses 5.5 times as many minutes as she did on Friday. 38.4 x 5.5 = 211.2 minutes

Question 17. Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49, how much will Harry pay for 3 pounds of bananas? Options: A. $1.47 B. $3.49 C. $5.49 D. $10.47

Answer: A. $1.47

Explanation: Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49, For 3 pound, 3 x $0.49 = $1.47

Question 18. At Anne’s Fabric Emporium, a yard of chiffon fabric costs $7.85. Lee plans to purchase 0.8 yard for a craft project. How much money will Lee spend on chiffon fabric? Options: A. $0.63 B. $6.28 C. $7.05 D. $8.65

Answer: B. $6.28

Explanation: At Anne’s Fabric Emporium, a yard of chiffon fabric costs $7.85. Lee plans to purchase 0.8 yard for a craft project. 0.8 x $7.85 = $6.28

Question 19. Mitchell has $18.79 in his savings account. Jeremy has 3 times as much as Mitchell. Maritza has $4.57 more than Jeremy. How much money does Maritza have in her savings account? Options: A. $13.71 B. $32.50 C. $56.37 D. $60.94

Answer: D. $60.94

Explanation: Mitchell: $18.79 Jeremy: 3 x $18.79 = $56.37 Maritza: $56.37 + $4.57 = $60.94

Chapter Review/Test – Page No. 198

Constructed Response

Question 20. A river otter eats about 0.15 times its weight in food each day. At the Baytown Zoo, the male river otter weighs 5 pounds. About how much food will the otter at the zoo consume each day? Explain how you found your answer. _____ pounds

Answer: 0.75 pounds

Explanation: A river otter eats about 0.15 times its weight in food each day. At the Baytown Zoo, the male river otter weighs 5 pounds. 0.15 x 5 = 0.75 pounds

Performance Task

Answer: $39.75

Explanation: Senior Citizen = $10.50 Adult = $15.75 Child = $8.25 A family of 2 adults and 1 child plans to spend the day at the Baytown Zoo. (2 x $15.75) + $8.25 $31.5 + $8.25 = $39.75

Question 21. B. Describe another way you could solve the problem. Type below: ________

Answer: (2 x $15.75) + $8.25 $15.75 + $15.75 + $8.25 = $39.75

Question 21. C. What if 2 more tickets for admission are purchased? If the two additional tickets cost $16.50, determine what type of tickets the family purchases. Explain how you can determine the answer without calculating. Options: a. Senior tickets b. Adult tickets c. Child tickets

Answer: c. Child tickets

Explanation: if 2 more tickets for admission are purchased? If the two additional tickets cost $16.50, $39.75 + $16.50 = $56.25 Two additional children’s tickets are purchased. Since senior citizen tickets cost about $10 each, then 2 tickets would cost about $20, which is too much. Adult tickets cost about $16 each, so 2 adult tickets would cost about $32, which is too much. Children’s tickets cost about $8, and 2 tickets would be about $16 which is correct.

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Go Math Grade 2 Chapter 9 Answer Key Pdf Length in Metric Units

Go Math Grade 2 Chapter 9 Answer Key Pdf : Hey guys!!! Are you searching for the grade 2 answer key on various websites? If yes then you can stop your search now. Here you can get detailed explanations for all the questions on this page. As per your convenience, we have provided the Go Math Grade 2 Answer Key Chapter 9 Length in Metric Units in pdf format. Hence Download HMH Go Math Grade 2 Chapter 9 Solution Key Length in Metric Units Concepts for free of cost.

Length in Metric Units Go Math Grade 2 Chapter 9 Answer Key Pdf

Check out the topics before starting your preparation for the exams. We have provided solutions for all the questions as per the textbook. Test yourself by solving the problems given in the mid-chapter checkpoint and review test. By solving the review test problems you can know how much you have learned from this chapter. Click on the below-given links and kickstart your preparation.

Chapter: 9 – Length in Metric Units

• Length in Metric Units Show What You Know – Page 600
• Length in Metric Units Vocabulary Builder – Page 601
• Length in Metric Units Game Estimating Length – Page 602
• Length in Metric Units Vocabulary Game – Page(602A-602B) 

Lesson: 1 Measure with a Centimeter Model

• Lesson 9.1 Measure with a Centimeter Model – Page(603-608)
• Measure with a Centimeter Model Homework & Practice 9.1 – Page(607-608)

Lesson: 2 Estimate Lengths in Centimeters

• Lesson 9.2 Estimate Lengths in Centimeters – Page(609-614)
• Estimate Lengths in Centimeters Homework & Practice 9.2 – Page(613-614)

Lesson: 3 Measure with a Centimeter Ruler

• Lesson 9.3 Measure with a Centimeter Ruler – Page(615-620)
• Measure with a Centimeter Ruler Homework & Practice 9.3 – Page(619-620)

Lesson: 4 Problem Solving • Add and Subtract Lengths

• Lesson 9.4 Problem Solving • Add and Subtract Lengths – Page(621-626)
• Problem Solving • Add and Subtract Lengths Homework & Practice 9.4 – Page(625-626)

Mid-Chapter Checkpoint

• Length in Metric Units Mid-Chapter Checkpoint – Page 624

Lesson: 5 Centimeters and Meters

• Lesson 9.5 Centimeters and Meters – Page(627-632)
• Centimeters and Meters Homework & Practice 9.5 – Page(631-632)

Lesson: 6 Estimate Lengths in Meters

• Lesson 9.6 Estimate Lengths in Meters – Page(633-638)
• Estimate Lengths in Meters Homework & Practice 9.6 – Page(637-638)

Lesson: 7 Measure and Compare Lengths

• Lesson 9.7 Measure and Compare Lengths – Page(639-644)
• Measure and Compare Lengths Homework & Practice 9.7 – Page(643-644)

Review/Test

• Length in Metric Units Review/Test – Page(645-648)

Length in Metric Units Show What You Know

Explanation: Use the cube to measure the length of the pencil. The estimated measure of a pencil is 7

Question 3.

Explanation: Use the cube to measure the length of the pen. The estimated measure of a pen is 7.

Length in Metric Units Vocabulary Builder

Length in Metric Units Game Estimating Length

• Take turns choosing a picture. Find the real object.
• Each player estimates the length of the object in cubes and then makes a cube train for his or her estimate.
• Compare the cube trains to the length of the object. The player with the closer estimate puts a counter on the picture. If there is a tie, both players put a counter on the picture.

Length in Metric Units Vocabulary Game

For 3 players Materials

• 4 sets of word cards

How to Play

• Every player is dealt 5 cards. Put the rest face-down in a draw pile.
• If the player has the word card, he or she gives it to you. Put both cards in front of you. Take another turn.
• If the player does not have the word, he or she answers, “Go fish.” Take a card from the pile. If the word you get matches one you are holding, put both cards in front of you. Take another turn. If it does not match, your turn is over.

The Write Way Reflect Choose one idea. Write about it in the space below.

• Compare a centimeter to a meter. Explain how they are alike and how they are different.

Lesson 9.1 Measure with a Centimeter Model

Essential Question How do you use a centimeter model to measure the lengths of objects?

Listen and Draw

HOME CONNECTION • Your child used unit cubes as an introduction to measurement of length before using metric measurement tools.

MATHEMATICAL PRACTICES Use Tools Describe how to use unit cubes to measure an object’s length. Answer: We can measure the length of the object by locating the unit cubes in a sequence.

Share and Show

On Your Own

Problem Solving • Applications

TAKE HOME ACTIVITY • Have your child compare the lengths of other objects to those in this lesson.

Measure with a Centimeter Model Homework & Practice 9.1

Go Math Grade 2 Pdf Download Free Question 5. WRITE Write about using a unit cube to measure lengths in this lesson. ______________ _____________ Answer: Let us say your cube has the dimensions of 3 × 4 × 5 to find the area of the cube in the cubic measure you would multiply the three dimensions together and divide by the area of the cubes.

Question 4. Dan has a paper strip that is 28 inches long. He tears 6 inches off the strip. How long is the paper strip now? _________ inches Answer:  22 inches.

Explanation: Given Dan has a paper strip that is 28 inches long He tears 6 inches off the strip so 28 inches – 6 inches = 22 inches 22 inches long is the paper strip.

Question 5. Rita has 1 quarter, 1 dime, and 2 pennies. What is the total value of Rita’s coins? $ ______ or ______ cents Answer: Quarter = 25 cents dime = 10 cents 2 pennies = 2 cents 25 + 10 + 2 = 37 cents Thus the total value of Rita’s coins 37 cents.

Lesson 9.2 Estimate Lengths in Centimeters

Essential Question How do you use known lengths to estimate unknown lengths?

Find three classroom objects that are shorter than your 10-centimeter strip. Draw the objects. Write estimates for their lengths. about ________ centimeters

about ________ centimeters

HOME CONNECTION • Your child used a 10-centimeter strip of paper to practice estimating the lengths of some classroom objects.

Question 8. MATHEMATICAL PRACTICE Analyze Mr. Lott has 250 more centimeters of tape than Mrs. Sanchez. Mr. Lott has 775 centimeters of tape. How many centimeters of tape does Mrs. Sanchez have? ________ centimeters Answer: 525 centimeters

Explanation: Given, Mr. Lott has 250 more centimeters of tape than Mrs. Sanchez. Mr. Lott has 775 centimeters of tape. To find the length of tape we have to subtract 250 from 775 775 – 250 = 525 centimeters

TAKE HOME ACTIVITY • Give your child an object that is about 5 centimeters long. Have him or her use it to estimate the lengths of some other objects.

Estimate Lengths in Centimeters Homework & Practice 9.2

Question 4. WRITE Choose one exercise above. Describe how you decided which estimate was the best choice. Answer: Lesson 9.2 Estimate Lengths in Centimeters in this exercise we estimate the length of an object by comparing with the other object. So, this was the best choice.

Question 3. What is the sum? 14 + 65 = ______ Answer: 79

Question 4. Adrian has a cube train that is 13 inches long. He adds 6 inches of cubes to the train. How long is the cube train now? _______ inches Answer: 19 inches

Explanation: Given, Adrian has a cube train that is 13 inches long. He adds 6 inches of cubes to the train. 13 + 6 = 19 inches

Lesson 9.3 Measure with a Centimeter Ruler

Essential Question How do you use a centimeter ruler to measure lengths?

HOME CONNECTION • Your child used unit cubes to measure the lengths of some classroom objects as an introduction to measuring lengths in centimeters.

Question 8. GO DEEPER A marker is almost 13 centimeters long. This length ends between which two centimeter-marks on a ruler? ____________________ _____________________ Answer: It ends between 13 cm and 14 cm mark.

Explanation: Since this marker in the above question is almost 13 centimeters long and definitely ends between two centimeter marks, the two centimeters that the length of this marker ends between on a ruler should be 13cm and 14 cm marks on the ruler.

Explanation: Shown in the given figure that length of the crayon is between 3 to 11 cms hence 11-3 we get 8 centimeters

TAKE HOME ACTIVITY • Have your child measure the lengths of some objects using a centimeter ruler.

Measure with a Centimeter Ruler Homework & Practice 9.3

Question 4. WRITE Measure the length of the top of your desk in centimeters. Describe how you found the length. ___________________ ___________________ Answer: 12 centimeters by using rulers find the length of the desk

Lesson 9.4 Problem Solving • Add and Subtract Lengths

Essential Question How can drawing a diagram help when solving problems about lengths?

Nate had 23 centimeters of string. He gave 9 centimeters of string to Myra. How much string does Nate have now?

Unlock the Problem What information do I need to use? Nate had _________ centimeters of string. He gave _______ centimeters of string to Myra.

Answer: Nate has 14 centimeters of string now.

HOME CONNECTION • Your child drew a diagram to represent a problem about lengths. The diagram can be used to choose the operation for solving the problem.

Try Another Problem

MATHEMATICAL PRACTICES Explain how your diagram shows what happened in the first problem. Answer:

TAKE HOME ACTIVITY • Have your child explain how he or she used a diagram to solve one problem in this lesson.

Problem Solving • Add and Subtract Lengths Homework & Practice 9.4

Question 3. What is another way to write the time half past 7? _____ : ______ Answer: 07 : 30

Length in Metric Units Mid-Chapter Checkpoint

Concepts and Skills

Lesson 9.5 Centimeters and Meters

Essential Question How is measuring in meters different from measuring in centimeters?

MATHEMATICAL PRACTICES Describe how the lengths of the yarn and the sheet of paper are different. Answer:

TAKE HOME ACTIVITY • Have your child describe how centimeters and meters are different.

Centimeters and Meters Homework & Practice 9.5

Problem Solving Question 3. Sally will measure the length of a wall in both centimeters and meters. Will there be fewer centimeters or fewer meters? Explain. _________________ _________________ Answer: There would be fewer meters. Since 1 m=100 cm. Fewer centimeters because there will be fewer centimeters

Question 4. WRITE Would you measure the length of a bench in centimeters or in meters? Explain your choice. Answer: Meters

Step-by-step explanation: Reason: Usually, the bench length is bigger than the length of the chair and the table. So it will be measured using meters. If we use a meter it will be easy to measure and accurate because it is somewhat bigger in length than a chair and table. 1 meter = 100 centimeters. The standard length of a bench will be 1.5 meters to 2 meters. Usually, 3 to 4 people will sit on the bench.

Question 3. Janet has a poster that is about 3 feet long. Fill in the blanks with the word inches or feet to make the statement true. 3 ______ is longer than 12 ________. Answer: The measurement of feets is longer than inches. 1 feet = 12 inches So, 3 feet is longer than 12 inches.

Question 5. List a group of coins with a value of $1.00. ______________ _____________ Answer: 100 pennies, 20 nickels, 10 dimes, or 4 quarters

Lesson 9.6 Estimate Lengths in Meters

Essential Question How do you estimate the lengths of objects in meters?

Is there a classroom object that is about 50 centimeters long? Draw and label it. Answer: No

MATHEMATICAL PRACTICES Describe how the lengths of the two real objects compare. Answer: Measure the length of an object twice, using length units of different lengths for the two measurements

Model and Draw

TAKE HOME ACTIVITY • With your child, estimate the lengths of some objects in meters.

Estimate Lengths in Meters Homework & Practice 9.6

Problem Solving Question 3. Barbara and Luke each placed 2 meter sticks end-to-end along the length of a large table. About how long is the table? about ________ meters Answer: 4 meters

Question 4. WRITE Choose one object from above. Describe how you estimated its length. __________________ __________________ Answer: Table By comparing with the real world we can estimate the length of the table.

Spiral Review Question 3. Sara has two $1 bills, 3 quarters, and 1 dime. How much money does she have? $ ____ . _____ Answer: $1 + $0.25 + $0.10 = $1.35

Lesson 9.7 Measure and Compare Lengths

Essential Question How do you find the difference between the lengths of two objects?

HOME CONNECTION • Your child measured these lengths as an introduction to measuring and then comparing lengths.

MATHEMATICAL PRACTICES Name a classroom object that is longer than the paintbrush. Explain how you know. Answer: Chalkboard as it is 2 meters long which is more than a paintbrush

Analyze Relationships Question 6. Mark has a rope that is 23 centimeters long. He cuts 15 centimeters off. What is the length of the rope now? _________ centimeters Answer: 8 centimeters

Question 7. The yellow ribbon is 15 centimeters longer than the green ribbon. The green ribbon is 29 centimeters long. What is the length of the yellow ribbon? _________ centimeters Answer: 44 centimeters

TAKE HOME ACTIVITY • Have your child tell you how he or she solved one of the problems in this lesson.

Measure and Compare Lengths Homework & Practice 9.7

Explanation: The length of the craft stick is 8 centimeters The length of the chalk is 6 centimeters 11 – 8 = 3 Thus the craft stick is 3 centimeters longer than the chalk.

Problem Solving

Solve. Write or draw to explain. Question 2. A string is 11 centimeters long, a ribbon is 24 centimeters long, and a large paper clip is 5 centimeters long. How much longer is the ribbon than the string? ________ centimeters longer Answer: 19 centimeters longer

Question 3. WRITE Suppose the lengths of two strings are 10 centimeters and 17 centimeters. Describe how the lengths of these two strings compare. _____________________ ______________________ Answer: The length of the second string is 7 centimeters longer than the first string.

Question 3. What is a reasonable estimate for the length of a real chalkboard? _______ feet Answer: 5 feet

Question 4. Cindy leaves at half past 2. At what time does Cindy leave? ___ : ___ Answer: 02:30

Length in Metric Units Review/Test

Conclusion:

All the solutions that prevailed in the Go Math Grade 2 Answer Key Chapter 9 Length in Metric Units are prepared by the subject experts. Feel free to post your doubts in the below-mentioned comment box. Our team will try to clarify your doubts as early as possible. Keep in touch with our page to get Go Math Grade Answer Key for all the chapters.

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