## 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 $$\frac{4}{5}$$ Ã— 7. Explain how you know.

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

a. 4 Ã— 2 + 4 Ã— $$\frac{2}{3}$$ 3 Ã— $$\frac{2}{3}$$

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

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

Question 5.
Collette bought milk for herself each month and recorded the amount in the table below. For (a)â€“(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 Julyâ€™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.
$$\frac{3}{4}$$ Ã— (2$$\frac{2}{5}$$ â€“ $$\frac{5}{6}$$)

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 Ã— $$\frac{3}{8}$$. 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. $$\frac{2}{3}$$ Ã— (9 + 12) Â 15 Ã— $$\frac{2}{3}$$

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

c. 6 Ã— (2 + $$\frac{32}{16}$$) (6 Ã— 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)â€“(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 Januaryâ€™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?

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