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)
Answer:
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 ÷ (\(\frac{7}{10}\) – \(\frac{4}{5}\))
Answer:
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. 
Answer:
Question 4.
Compare expressions 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know.
Answer:
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 ÷ (\(\frac{1}{2}\) × \(\frac{4}{5}\) ) 
Answer:
Question 6.
Compare the expressions in 5(a) and 5(c). Without evaluating, identify the expression that is less. Explain how you know.
Answer:
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
Answer:
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: ___________________________
Answer:
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 twothirds and 0.8
Answer:
Question 2.
Write an equivalent expression in word form.
a. \(\frac{3}{8}\) × (1 – \(\frac{1}{3}\))
b. (1 – \(\frac{1}{3}\)) ÷ 2
Answer:
Question 3.
Compare the expressions in 2(a) and 2(b). Without evaluating, determine which expression is greater, and explain how you know.
Answer:
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 ÷ \(\frac{1}{5}\))
\(\frac{74}{5}\)
(7 – 4) ÷ \(\frac{1}{5}\)
\(\frac{1}{5}\) ÷ (7 – 4)
Answer:
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 ÷ (\(\frac{2}{3}\) + \(\frac{3}{4}\))
\(\frac{42}{\frac{2}{8}+\frac{3}{4}}\)
Answer:
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) 
Answer:
Question 4.
Compare the expressions in 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know.
Answer:
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 \(\frac{5}{8}\)
Answer:
Question 6.
Lee is sending out 32 birthday party invitations. She gives 5 invitations to her mom to give to family members. Lee mails a third of the rest, and then she takes a break to walk her dog.
a. Write a numerical expression to describe how many invitations Lee has already mailed.
b. Which expression matches how many invitations still need to be sent out?
32 – 5 – \(\frac{1}{3}\)(32 – 5)
\(\frac{2}{3}\) × 32 – 5
(32 – 5) ÷ \(\frac{1}{3}\)
\(\frac{1}{3}\) × (32 – 5)
Answer: