# Evaluate Numerical Expressions

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Lesson Plans and Worksheets for Grade 5
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Videos, examples, solutions, and lessons to help Grade 5 students learn how to interpret and evaluate numerical expressions including the language of scaling and fraction division.

New York State Common Core Math Grade 5, Module 4, Lesson 32

Grade 5, Module 4, Lesson 32 Worksheets

Common Core Standards: 5.OA.1, 5.OA.2

Lesson 32 Concept Development

Problem 1
Write word form expressions numerically.
a. Twice the sum of 3/5 and 1 1/2
b. Half the sum of 3/5 and 1 1/2

Problem 2
Write numerical expressions in word form.
a. 2/5 x (1/2 - 0.4) Lesson 32 Problem Set

1. Circle the expression equivalent to "the sum of 3 and 2 divided by /3.”

2. Circle the expression(s) equivalent to "28 divided by the difference 7/10 between and 4/5."

3. Fill in the chart by writing an equivalent numerical expression.
a. Half as much as the difference between 2 1/4 and 3/8.
b. The difference between 2 1/4 and 3/8 divided by 4.

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

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

7. Evaluate the following expressions.
b. 5/3 x (2 x 1/4)
c. 1/3 ÷ (1 ÷ 1/4)
e. Half as much as (3/4 x 0.2)
f. 3 times as much as the quotient of 2.4 and 0.6

8. Choose an expression below that matches the story problem, and write it in the blank.
a. Farmer Green picked 20 carrots. He cooked 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 2/3 to his rabbits. Write the expression that tells how many carrots the rabbits will get.
Expression: _______________

(Homework) 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?

Lesson 32 Homework

This video shows how to convert/interpret expressions between word and numerical form.

1. Circle the expression equivalent to “the difference between 7 and 4, divided by a fifth.”

2. Circle the expression(s) equivalent to “42 divided by the sum of 2/3 and 3/4."

3. Fill in the chart by writing the equivalent numerical expression or expression in word form.
a. A fourth as much as the sum of 3 1/8 and 4.5
b. (3 1/8 + 4.5) ÷ 5

5. Evaluate the following expressions.
a. (11 – 6) ÷ 1/6
d. 3/4 x 2/5 x 4/3 Lesson 32 Homework

1. Find the expression equivalent to “the difference between 7 and 4, divided by a fifth.”

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