## Engage NY Eureka Math 5th Grade Module 4 Lesson 10 Answer Key

### Eureka Math Grade 5 Module 4 Lesson 10 Problem Set Answer Key

Question 1.
Write expressions to match the diagrams. Then, evaluate. Question 2.
Write an expression to match, and then evaluate.
a. $$\frac{1}{6}$$ the sum of 16 and 20

b. Subtract 5 from $$\frac{1}{3}$$ of 23.

c. 3 times as much as the sum of $$\frac{3}{4}$$ and $$\frac{2}{6}$$

d. $$\frac{2}{5}$$ of the product of $$\frac{5}{6}$$ and 42

e. 8 copies of the sum of 4 thirds and 2 more

f. 4 times as much as 1 third of 8

Question 3.
Circle the expression(s) that give the same product as $$\frac{4}{5}$$ × 7. Explain how you know. Question 4.
Use <, >, or = to make true number sentences without calculating. Explain your thinking.

a. 4 × 2 + 4 × $$\frac{2}{3}$$ 3 × $$\frac{2}{3}$$

b. (5 × $$\frac{3}{4}$$ ) (5 × $$\frac{3}{4}$$) × $$\frac{2}{7}$$

c. 3 × (3 + $$\frac{15}{12}$$) (3 × 3) + $$\frac{15}{12}$$

Question 5.
Collette bought milk for herself each month and recorded the amount in the table below. For (a)–(c), write an expression that records the calculation described. Then, solve to find the missing data in the table.

 Month Amount (in pounds) January 3 February 2 March 1$$\frac{1}{4}$$ April May $$\frac{9}{8}$$ June July 1$$\frac{1}{4}$$ August September $$\frac{11}{4}$$ October $$\frac{3}{4}$$

a. She bought $$\frac{1}{4}$$ of July’s total in June.

b. She bought $$\frac{3}{4}$$ as much in September as she did in January and July combined.

c. In April, she bought $$\frac{1}{2}$$ gallon less than twice as much as she bought in August.

d. Display the data from the table in a line plot.

e. How many gallons of milk did Collette buy from January to October?

### Eureka Math Grade 5 Module 4 Lesson 10 Exit Ticket Answer Key

Question 1.
Rewrite these expressions using words.
$$\frac{3}{4}$$ × (2$$\frac{2}{5}$$ – $$\frac{5}{6}$$)

b. 2$$\frac{1}{4}$$ + $$\frac{8}{3}$$

Question 2.
Write an expression, and then solve.
Three less than one-fourth of the product of eight thirds and nine

### Eureka Math Grade 5 Module 4 Lesson 10 Homework Answer Key

Question 1.
Write expressions to match the diagrams. Then, evaluate. Question 2.
Circle the expression(s) that give the same product as 6 × $$\frac{3}{8}$$. Explain how you know. Question 3.
Write an expression to match, and then evaluate.
a. $$\frac{1}{8}$$ the sum of 23 and 17

b. Subtract 4 from $$\frac{1}{6}$$ of 42.

c. 7 times as much as the sum of $$\frac{1}{3}$$ and $$\frac{4}{5}$$

d. $$\frac{2}{3}$$ of the product of $$\frac{3}{8}$$ and 16

e. 7 copies of the sum of 8 fifths and 4

f. 15 times as much as 1 fifth of 12

Question 4.
Use <, >, or = to make true number sentences without calculating. Explain your thinking.

a. $$\frac{2}{3}$$ × (9 + 12) 15 × $$\frac{2}{3}$$

b. (3 × $$\frac{5}{4}$$) (3 × $$\frac{5}{4}$$) × $$\frac{3}{8}$$

c. 6 × (2 + $$\frac{32}{16}$$) (6 × 2) + $$\frac{32}{16}$$)

Question 5.
Fantine bought flour for her bakery each month and recorded the amount in the table to the right. For (a)–(c), write an expression that records the calculation described. Then, solve to find the missing data in the
table.

 Month Amount (in pounds) January 3 February 2 March 1$$\frac{1}{4}$$ April May $$\frac{9}{8}$$ June July 1$$\frac{1}{4}$$ August September $$\frac{11}{4}$$ October $$\frac{3}{4}$$

a. She bought $$\frac{3}{4}$$ of January’s total in August.

b. She bought $$\frac{7}{8}$$ as much in April as she did in October and July combined.

c. In June, she bought $$\frac{1}{8}$$ pound less than three times as much as she bought in May.

d. Display the data from the table in a line plot.

e. How many pounds of flour did Fantine buy from January to October?