## Engage NY Eureka Math 5th Grade Module 4 Lesson 17 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 17 Problem Set Answer Key

Question 1.
Multiply and model. Rewrite each expression as a multiplication sentence with decimal factors. The first one is done for you.
$$\frac{1}{10}$$ × $$\frac{1}{10}$$
= $$\frac{1 × 1}{10 × 10}$$
= $$\frac{1}{100}$$

b. $$\frac{4}{10}$$ × $$\frac{3}{10}$$

Explanation:
Given that $$\frac{4}{10}$$ × $$\frac{3}{10}$$
= $$\frac{4 × 3}{10 × 10}$$
= $$\frac{12}{100}$$
= 0.12.

c. $$\frac{1}{10}$$ × 1.4

d. $$\frac{6}{10}$$ × 1.7

Question 2.
Multiply. The first few are started for you.
a. 5 × 0.7 = _______
= 5 × $$\frac{7}{10}$$
= $$\frac{5 × 7}{10}$$
= $$\frac{35}{10}$$
= 3.5

b. 0.5 × 0.7 = ___
= $$\frac{5}{10}$$ × $$\frac{7}{10}$$
= $$\frac{5 × 7}{10 × 10}$$
= $$\frac{35}{100}$$
= 0.35

c. 0.05 × 0.7 = __
= $$\frac{5}{100}$$ × $$\frac{7}{10}$$

= $$\frac{5}{7}$$ × $$\frac{10}{100}$$
= $$\frac{35}{1000}$$
= 0.035

d. 6 × 0.3 = _______
= 6 × $$\frac{3}{10}$$
= $$\frac{6 × 3}{10}$$
= $$\frac{18}{10}$$
= 1.8

e. 0.6 × 0.3 = _______
= $$\frac{6}{10}$$ × $$\frac{3}{10}$$
= $$\frac{6 × 3}{10 × 10}$$
= $$\frac{18}{100}$$
= 0.18

f. 0.06 × 0.3 = _______
= $$\frac{6}{100}$$ × $$\frac{3}{10}$$
= $$\frac{6 × 3}{100 × 10}$$
= $$\frac{18}{1000}$$
= 0.018

g. 1.2 × 4 = _______
= $$\frac{12}{10}$$ × 4
= $$\frac{12 × 4}{10}$$
= $$\frac{48}{10}$$
= 4.8.

h. 1.2 × 0.4 = _______
= $$\frac{12}{10}$$ × $$\frac{4}{10}$$
= $$\frac{12 × 4}{10 × 10}$$
= $$\frac{48}{100}$$
= 0.48.

i. 0.12 × 0.4 = _______
= $$\frac{12}{100}$$ × $$\frac{4}{10}$$
= $$\frac{12 × 4}{100 × 10}$$
= $$\frac{48}{1000}$$
= 0.048.

Question 3.
A Boy Scout has a length of rope measuring 0.7 meter. He uses 2 tenths of the rope to tie a knot at one end. How many meters of rope are in the knot?

Question 4.
After just 4 tenths of a 2.5-mile race was completed, Lenox took the lead and remained there until the end of the race.

a. How many miles did Lenox lead the race?

b. Reid, the second-place finisher, developed a cramp with 3 tenths of the race remaining. How many miles did Reid run without a cramp?

### Eureka Math Grade 5 Module 4 Lesson 17 Exit Ticket Answer Key

Question 1.
Multiply and model. Rewrite the expression as a number sentence with decimal factors.
$$\frac{1}{10}$$ × 1.2

Question 2.
Multiply.

a. 1.5 × 3 = _______

b. 1.5 × 0.3 = _______

c. 0.15 × 0.3 = _______

### Eureka Math Grade 5 Module 4 Lesson 17 Homework Answer Key

Question 1.
Multiply and model. Rewrite each expression as a number sentence with decimal factors. The first one is done for you.
a. $$\frac{1}{10}$$ × $$\frac{1}{10}$$
= $$\frac{1 × 1}{10 × 10}$$
= $$\frac{1}{100}$$
0.1 × 0.1 = 0.01

b. $$\frac{6}{10}$$ × $$\frac{2}{10}$$

c. $$\frac{1}{10}$$ × 1.6

d. $$\frac{6}{10}$$ × 1.9

Question 2.
Multiply. The first few are started for you.
a. 4 × 0.6 = _______
= 4 × $$\frac{6}{10}$$
= $$\frac{4 × 6}{10}$$
= $$\frac{24}{10}$$
= 2.4

b. 0.4 × 0.6 = _______
= $$\frac{4}{10}$$ × $$\frac{6}{10}$$
= $$\frac{4 × 6}{10 × 10}$$
=

c. 0.04 × 0.6 = _______

d. 7 × 0.3 = _______

e. 0.7 × 0.3 = _______

f. 0.07 × 0.3 = _______

g. 1.3 × 5 = _______

h. 1.3 × 0.5 = _______

i. 0.13 × 0.5 = _______

Question 3.
Jennifer makes 1.7 liters of lemonade. If she pours 3 tenths of the lemonade in the glass, how many liters of lemonade are in the glass?

Question 4.
Cassius walked 6 tenths of a 3.6-mile trail.
a. How many miles did Cassius have left to hike?

b. Cameron was 1.3 miles ahead of Cassius. How many miles did Cameron hike already?