## Engage NY Eureka Math 5th Grade Module 4 Lesson 32 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 32 Problem Set Answer Key

Question 1.
Circle the expression equivalent to the sum of 3 and 2 divided by $$\frac{1}{3}$$.
$$\frac{1}{2}$$
3 + (2 ÷ $$\frac{1}{3}$$)
(3 + 2) ÷ $$\frac{1}{3}$$
$$\frac{1}{3}$$ ÷ (3 + 2)

Question 2.
Circle the expression(s) equivalent to 28 divided by the difference between $$\frac{4}{5}$$ and $$\frac{7}{10}$$.
28 ÷ ($$\frac{4}{5}$$ – $$\frac{7}{10}$$)
$$\frac{28}{\frac{4}{5}-\frac{7}{10}}$$
($$\frac{4}{5}$$ – $$\frac{7}{10}$$) ÷ 28
28 ÷ ($$\frac{7}{10}$$ – $$\frac{4}{5}$$)

Question 3.
Fill in the chart by writing an equivalent numerical expression.

 a. Half as much as the difference between 2$$\frac{1}{4}$$ and $$\frac{3}{8}$$. b. The difference between 2$$\frac{1}{4}$$ and $$\frac{3}{8}$$ divided by 4. c. A third of the sum of $$\frac{7}{8}$$ and 22 tenths. d. Add 2.2 and $$\frac{7}{8}$$, and then triple the sum.

Question 4.
Compare expressions 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know.

Question 5.
Fill in the chart by writing an equivalent expression in word form.

 a. $$\frac{3}{4}$$ × (1.75 + $$\frac{3}{5}$$) b. $$\frac{1}{2}$$ – ($$\frac{1}{8}$$ × 0.2) c. (1.75 + $$\frac{3}{5}$$) × $$\frac{4}{3}$$ d. 2 ÷ ($$\frac{1}{2}$$ × $$\frac{4}{5}$$ )

Question 6.
Compare the expressions in 5(a) and 5(c). Without evaluating, identify the expression that is less. Explain how you know.

Question 7.
Evaluate the following expressions.
a. (9 – 5) ÷ $$\frac{1}{3}$$
b. $$\frac{5}{3}$$ × (2 × $$\frac{1}{4}$$)
c. $$\frac{1}{3}$$ ÷ (1 ÷ $$\frac{1}{4}$$)
d. $$\frac{1}{2}$$ × $$\frac{3}{5}$$ × $$\frac{5}{3}$$
e. Half as much as ($$\frac{3}{4}$$ × 0.2)
f. 3 times as much as the quotient of 2.4 and 0.6

Question 8.
Choose an expression below that matches the story problem, and write it in the blank.
$$\frac{2}{3}$$ × (20 – 5)
($$\frac{2}{3}$$ × 20) – ($$\frac{2}{3}$$ × 5)
$$\frac{2}{3}$$ × 20 – 5
(20 – $$\frac{2}{3}$$) – 5
a. Farmer Green picked 20 carrots. He cooked $$\frac{2}{3}$$ of them, and then gave 5 to his rabbits. Write the expression that tells how many carrots he had left.
Expression: ___________________________
b. Farmer Green picked 20 carrots. He cooked 5 of them, and then gave $$\frac{2}{3}$$ of the remaining carrots to his rabbits. Write the expression that tells how many carrots the rabbits will get.
Expression: ___________________________

### Eureka Math Grade 5 Module 4 Lesson 32 Exit Ticket Answer Key

Question 1.
Write an equivalent expression in numerical form.
A fourth as much as the product of two-thirds and 0.8

Question 2.
Write an equivalent expression in word form.
a. $$\frac{3}{8}$$ × (1 – $$\frac{1}{3}$$)
b. (1 – $$\frac{1}{3}$$) ÷ 2

Question 3.
Compare the expressions in 2(a) and 2(b). Without evaluating, determine which expression is greater, and explain how you know.

### Eureka Math Grade 5 Module 4 Lesson 32 Homework Answer Key

Question 1.
Circle the expression equivalent to the difference between 7 and 4, divided by a fifth.
7 + (4 ÷ $$\frac{1}{5}$$)
$$\frac{7-4}{5}$$
(7 – 4) ÷ $$\frac{1}{5}$$
$$\frac{1}{5}$$ ÷ (7 – 4)

Question 2.
Circle the expression(s) equivalent to 42 divided by the sum of $$\frac{2}{3}$$ and $$\frac{3}{4}$$.
($$\frac{2}{3}$$ + $$\frac{3}{4}$$) ÷ 42
(42 ÷ $$\frac{2}{3}$$) + $$\frac{3}{4}$$
42 ÷ ($$\frac{2}{3}$$ + $$\frac{3}{4}$$)
$$\frac{42}{\frac{2}{8}+\frac{3}{4}}$$

Question 3.
Fill in the chart by writing the equivalent numerical expression or expression in word form.

 Expression in word form Numerical expression a. A fourth as much as the sum of 3  and 4.5 b. (3$$\frac{1}{8}$$ + 4.5) ÷ 5 c. Multiply  by 5.8; then halve the product d. $$\frac{1}{6}$$ × (4.8 – $$\frac{1}{2}$$) e. 8 – ($$\frac{1}{2}$$ ÷ 9)

Question 4.
Compare the expressions in 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know.

Question 5.
Evaluate the following expressions.
a. (11 – 6) ÷ $$\frac{1}{6}$$
b. $$\frac{9}{5}$$ × (4 × $$\frac{1}{6}$$)
c. $$\frac{1}{10}$$ ÷ (5 ÷ $$\frac{1}{2}$$)
d. $$\frac{3}{4}$$ × $$\frac{2}{5}$$ × $$\frac{4}{3}$$
e. 50 divided by the difference between $$\frac{3}{4}$$ and $$\frac{5}{8}$$
32 – 5 – $$\frac{1}{3}$$(32 – 5)
$$\frac{2}{3}$$ × 32 – 5
(32 – 5) ÷ $$\frac{1}{3}$$
$$\frac{1}{3}$$ × (32 – 5)