## Engage NY Eureka Math 5th Grade Module 1 Lesson 13 Answer Key

### Eureka Math Grade 5 Module 1 Lesson 13 Sprint Answer Key

A

Subtract Decimals

Question 1.

5 – 1 =

Answer:- 4

Question 2.

5.9 – 1 =

Answer:- 4.9

Question 3.

5.93 – 1 =

Answer:- 4.93

Question 4.

5.932 – 1 =

Answer:- 4.932

Question 5.

5.932 – 2 =

Answer:- 3.932

Question 6.

5.932 – 4 =

Answer:- 1.932

Question 7.

0.5 – 0.1 =

Answer:- 0.4

Question 8.

0.53 – 0.1 =

Answer:- 0.43

Question 9.

0.539 – 0.1 =

Answer:- 0.493

Question 10.

8.539 – 0.1 =

Answer:- 8.439

Question 11.

8.539 – 0.2 =

Answer:- 8.339

Question 12.

8.539 – 0.4 =

Answer:- 8.139

Question 13.

0.05 – 0.01 =

Answer:- 0.04

Question 14.

0.057 – 0.01 =

Answer:- 0.047

Question 15.

1.057 – 0.01 =

Answer:- 1.047

Question 16.

1.857 – 0.01 =

Answer:- 1.847

Question 17.

1.857 – 0.02 =

Answer:- 1.837

Question 18.

1.857 – 0.04 =

Answer:- 1.817

Question 19.

0.005 – 0.001 =

Answer:- 0.004

Question 20.

7.005 – 0.001 =

Answer:- 7.004

Question 21.

7.905 – 0.001 =

Answer:- 7.904

Question 22.

7.985 – 0.001 =

Answer:- 7.984

Question 23.

7.985 – 0.002 =

Answer:- 7.983

Question 24.

7.985 – 0.004 =

Answer:- 7.981

Question 25.

2.7 – 0.1 =

Answer:- 2.6

Question 26.

2.785 – 0.1 =

Answer:- 2.685

Question 27.

2.785 – 0.5 =

Answer:- 2.285

Question 28.

4.913 – 0.4 =

Answer:- 4.513

Question 29.

3.58 – 0.01 =

Answer:- 3.57

Question 30.

3.586 – 0.01 =

Answer:- 3.876

Question 31.

3.586 – 0.05 =

Answer:- 3.536

Question 32.

7.982 – 0.04 =

Answer:- 7.942

Question 33.

6.126 – 0.001 =

Answer:- 6.125

Question 34.

6.126 – 0.004 =

Answer:- 6.122

Question 35.

9.348 – 0.006 =

Answer:- 9.342

Question 36.

8.347 – 0.3 =

Answer:- 8.047

Question 37.

9.157 – 0.05 =

Answer:- 9.107

Question 38.

6.879 – 0.009 =

Answer:- 6.870

Question 39.

6.548 – 2 =

Answer:- 6.528

Question 40.

6.548 – 0.2 =

Answer:- 6.348

Question 41.

6.548 – 0.02 =

Answer:- 6.528

Question 42.

6.548 – 0.002 =

Answer:- 6.546

Question 43.

6.196 – 0.06 =

Answer:- 6.136

Question 44.

9.517 – 0.004 =

Answer:- 9.513

B

Subtract Decimals

Answer:-

Question 1.

6 – 1 =

Answer:- 5

Question 2.

6.9 – 1 =

Answer:- 5.9

Question 3.

6.93 – 1 =

Answer:- 5.93

Question 4.

6.932 – 1 =

Answer:- 5.932

Question 5.

6.932 – 2 =

Answer:- 4.932

Question 6.

6.932 – 4 =

Answer:- 2.932

Question 7.

0.6 – 0.1 =

Answer:- 0.5

Question 8.

0.63 – 0.1 =

Answer:- 0.53

Question 9.

0.639 – 0.1 =

Answer:- 0.539

Question 10.

8.639 – 0.1 =

Answer:- 8.539

Question 11.

8.639 – 0.2 =

Answer:- 8.439

Question 12.

8.639 – 0.4 =

Answer:- 8.239

Question 13.

0.06 – 0.01 =

Answer:- 0.05

Question 14.

0.067 – 0.01 =

Answer:- 0.057

Question 15.

1.067 – 0.01 =

Answer:- 1.057

Question 16.

1.867 – 0.01 =

Answer:- 1.857

Question 17.

1.867 – 0.02 =

Answer:- 1.847

Question 18.

1.867 – 0.04 =

Answer:- 1.827

Question 19.

0.006 – 0.001 =

Answer:- 0.005

Question 20.

7.006 – 0.001 =

Answer:- 7.005

Question 21.

7.906 – 0.001 =

Answer:- 7.905

Question 22.

7.986 – 0.001 =

Answer:- 7.985

Question 23.

7.986 – 0.002 =

Answer:- 7.984

Question 24.

7.986 – 0.004 =

Answer:- 7.982

Question 25.

3.7 – 0.1 =

Answer:- 3.6

Question 26.

3.785 – 0.1 =

Answer:- 3.685

Question 27.

3.785 – 0.5 =

Answer:- 3.285

Question 28.

5.924 – 0.4 =

Answer:- 5.524

Question 29.

4.58 – 0.01 =

Answer:- 4.57

Question 30.

4.586 – 0.01 =

Answer:- 4.576

Question 31.

4.586 – 0.05 =

Answer:- 4.536

Question 32.

6.183 – 0.04 =

Answer:- 6.143

Question 33.

7.127 – 0.001 =

Answer:- 7.126

Question 34.

7.127 – 0.004 =

Question 35.

1.459 – 0.006 =

Answer:- 1.453

Question 36.

8.457 – 0.4 =

Answer:- 8.057

Question 37.

1.267 – 0.06 =

Answer:- 1.207

Question 38.

7.981 – 0.001 =

Answer:- 7.980

Question 39.

7.548 – 2 =

Answer:- 5.548

Question 40.

7.548 – 0.2 =

Answer:- 7.348

Question 41.

7.548 – 0.02 =

Answer:- 7.528

Question 42.

7.548 – 0.002 =

Answer:- 7.546

Question 43.

7.197 – 0.06 =

Answer:- 7.137

Question 44.

1.627 – 0.004 =

Answer:- 1.623

### Eureka Math Grade 5 Module 1 Lesson 13 Problem Set Answer Key

Question 1.

Complete the sentences with the correct number of units, and then complete the equation.

a. 4 groups of ___ tenths is 1.6. 1.6 ÷ 4 = ___

Answer:- 4 groups of 4 tenths is 1.6. 1.6 ÷ 4 = 0.4

b. 8 groups of ____ hundredths is 0.32. 0.32 ÷ 8 = ___

Answer:-8 groups of 4 hundredths is 0.32. 0.32 ÷ 8 = 4

c. 7 groups of __ thousandths is 0.084. 0.084 ÷ 7 = ___

Answer:-7 groups of 12 thousandths is 0.084. 0.084 ÷ 7 = 0.012

d. 5 groups of ___ tenths is 2.0. 2.0 ÷ 5 = ___

Answer:- 5 groups of 4 tenths is 2.0. 2.0 ÷ 5 = 0.4

Question 2.

Complete the number sentence. Express the quotient in units and then in standard form.

a. 4.2 ÷ 7 = ______ tenths ÷ 7 = ______ tenths = _______

Answer:- 4.2 ÷ 7 = 42 tenths ÷ 7 = 6 tenths = 0.6

b. 2.64 ÷ 2 = ___ ones ÷ 2 + ___ hundredths ÷ 2

= _____ ones + __ hundredths

= ____

Answer:- 2.64 ÷ 2 = 2 ones ÷ 2 + 64 hundredths ÷ 2

= 1 ones + 32 hundredths

= 1.32

c. 12.64 ÷ 2 = ___ ones ÷ 2 + __ hundredths ÷ 2

= _______ ones + ___ hundredths

= ___

Answer:- 12.64 ÷ 2 = 12 ones ÷ 2 + 64 hundredths ÷ 2

= 6 ones + 32 hundredths

= 6.32

d. 4.26 ÷ 6 = __ tenths ÷ 6 + __ hundredths ÷ 6

= ____________

= ____________

Answer:- 4.26 ÷ 6 = 42 tenths ÷ 6 + 6 hundredths ÷ 6

= 7 ones + 1 hundredths

= 0.71

e. 4.236 ÷ 6 = ____________

= ____________

= ____________

Answer:- 4.236 ÷ 6 = 42 tenths ÷ 6 + 36 thousandths ÷ 6

= 7 tenths + 6 thousandths

= 0.706

Question 3.

Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients.

a. 32 ÷ 8 = ___ 3.2 ÷ 8 = ____

Answer:- 32 ÷ 8 = 4; 3.2 ÷ 8 = 0.4

The first quotients is 10 times larger than the second one. because the first is whole number and the second one is decimal number and the number

were being divided into 8 equal numbers. second one is not whole number so it becomes 10 times lesser than the first one.

b. 81 ÷ 9 = __ 0.081 ÷ 9 = _____

Answer:- 81 ÷ 9 = 9; 0.081 ÷ 9 = 0.009

The first quotients is 1000 times larger than the second one. because the first is whole number and the second one is decimal number and the number

were being divided into 9 equal numbers. second one is not whole number so it becomes 1000 times lesser than the first one.

Question 4.

Are the quotients below reasonable? Explain your answers.

a. 5.6 ÷ 7 = 8

Answer:- No!. The dividend is only about 6. If that is divided into 7 parts. Then the answer must be less than whole number.

b. 56 ÷ 7 = 0.8

Answer:- No!. These are 56 ones ÷ 7 we should get 8 ones, not 8 tenths.

c. 0.56 ÷ 7 = 0.08

Answer:- Yes!. 0.56 ÷ 7 = 0.08.

Question 5.

12.48 milliliters of medicine were separated into doses of 4 mL each. How many doses were made?

Answer:- 12.48 ÷ 4 =

12 ones ÷ 4 + 48 hundredths ÷ 4

3 ones + 12 hundredths

3.12 were made.

Question 6.

The price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. What was the cost for a gallon of milk during the 1950s? Use a tape diagram, and show your calculations.

Answer:- 3.28 ÷ 8 = ?

= 32 tenths ÷ 8 + 8 hundredths ÷ 8

= 4 tenths + 1 hundredth

= 0.41

### Eureka Math Grade 5 Module 1 Lesson 13 Exit Ticket Answer Key

Question 1.

Complete the sentences with the correct number of units, and then complete the equation.

a. 2 groups of __ tenths is 1.8. 1.8 ÷ 2 = ___

Answer:- 2 groups of 9 tenths is 1.8. 1.8 ÷ 2 = 0.9

b. 4 groups of __ hundredths is 0.32. 0.32 ÷ 4 = ___

Answer:- 4 groups of 8 hundredths is 0.32. 0.32 ÷ 4 = 0.08

c. 7 groups of __ thousandths is 0.021. 0.021 ÷ 7 = ____

Answer:- 7 groups of 3 thousandths is 0.021. 0.021 ÷ 7 = 0.003

Question 2.

Complete the number sentence. Express the quotient in unit form and then in standard form.

a. 4.5 ÷ 5 = ____ tenths ÷ 5 = __ tenths = ____

Answer:- 4.5 ÷ 5 = 45 tenths ÷ 5 = 9 tenths = 0.9

b. 6.12 ÷ 6 = ____ ones ÷ 6 + ____ hundredths ÷ 6

= ____ ones + ____ hundredths

= ____

Answer:- 6.12 ÷ 6 = 6 ones ÷ 6 + 12 hundredths ÷ 6

= 1 ones + 2 hundredths

= 1.02

### Eureka Math Grade 5 Module 1 Lesson 13 Homework Answer Key

Question 1.

Complete the sentences with the correct number of units, and then complete the equation.

a. 3 groups of ____ tenths is 1.5. 1.5 ÷ 3 = ____

Answer:- 3 groups of 5 tenths is 1.5. 1.5 ÷ 3 = 0.5

b. 6 groups of ____ hundredths is 0.24. 0.24 ÷ 6 = ____

Answer:- 6 groups of 4 hundredths is 0.24. 0.24 ÷ 6 = 0.04

c. 5 groups of ____ thousandths is 0.045. 0.045 ÷ 5 = ____

Answer:- 5 groups of 9 thousandths is 0.045. 0.045 ÷ 5 = 0.009

Question 2.

Complete the number sentence. Express the quotient in units and then in standard form.

a. 9.36 ÷ 3 = ____ ones ÷ 3 + ____ hundredths ÷ 3

= ____ ones + ____ hundredths

= ____

Answer:- 9.36 ÷ 3 = 9 ones ÷ 3 +36 hundredths ÷ 3

= 3 ones + 12 hundredths

= 3.12

b. 36.012 ÷ 3 = ____ ones ÷ 3 + ____ thousandths ÷ 3

= ____ ones + ____ thousandths

= ____

Answer:- 36.012 ÷ 3 =36 ones ÷ 3 + 12 thousandths ÷ 3

= 12 ones + 4 thousandths

= 12.004

c. 3.55 ÷ 5 = ____ tenths ÷ 5 + ____ hundredths ÷ 5

= ________

= ________

Answer:- 3.55 ÷ 5 = 35tenths ÷ 5 + 5 hundredths ÷ 5

= 7 tenths + 1 hundredth

= 0.71

d. 3.545 ÷ 5 = ____________

= ____________________

= ____________________

Answer:- 3.545 ÷ 5 = 35 tenths ÷ 5 + 45 thousandths ÷ 5

= 7 tenths + 9 thousandths

= 0.709

Question 3.

Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients.

a. 21 ÷ 7 = ____ 2.1 ÷ 7 = ____

Answer:- 21 ÷ 7 = 3; 2.1 ÷ 7 = 0.3

b. 48 ÷ 8 = ____ 0.048 ÷ 8 = ____

Answer:- 48 ÷ 8 = 6; 0.048 ÷ 8 = 0.006

Question 4.

Are the quotients below reasonable? Explain your answers.

a. 0.54 ÷ 6 = 9

Answer:- No!. The answer should be less than 0.54. It should have decimals in the answer be 0.09

b. 5.4 ÷ 6 = 0.9

Answer:- Yes!. The answer must be less than 5.4; 54 ÷ 6 = 9. So, The problem had one decimal

So, the answer will too have decimals.

c. 54 ÷ 6 = 0.09

Answer:- No!. The answer must not have decimals in answer because the whole number doesn’t

have.

Question 5.

A toy airplane costs $4.84. It costs 4 times as much as a toy car. What is the cost of the toy car?

Answer:- 4.84 ÷ 4

= 4 ones ÷ 4 + 8 tenths ÷ 4 hundredths ÷ 4

= 1 one + 2 tenths + 1 hundredth

= 1.21

Question 6.

Julian bought 3.9 liters of cranberry juice, and Jay bought 8.74 liters of apple juice. They mixed the two juices together and then poured them equally into 2 bottles. How many liters of juice are in each bottle?

Answer:- 3.9 + 8.74 = 12.64

And divide it by 2 bottles so, 12.64 ÷ 2 = 6.32