# Lesson Worksheet: Properties of Multiplication Mathematics • 5th Grade

In this worksheet, we will practice using the four properties of multiplication (commutative, associative, identity, and distributive) to solve problems with numbers up to 100.

Q1:

What do you get when you multiply a number by 0?

Q2:

Complete: .

Q3:

Complete:

Q4:

Identify the property demonstrated in the following equation: .

• Bcommutative property of multiplication
• Cidentity property of multiplication
• Dassociative property of multiplication

Q5:

Complete the following: .

Q6:

If and , what is the value of ?

Q7:

Does the associative property apply to division?

• ANo
• BYes

Q8:

The associative property tells us we can multiply three numbers in any order, and the commutative property tells us we can swap factors.

Write the missing expression: .

• A
• B
• C
• D

Q9:

.

• A0, 0
• B1, 9
• C0, 9
• D1, 1

Q10:

Rectangle C is made of 2 copies of Rectangle A. So, its area is 2 times as much as the area of Rectangle A.

Pick another expression that is equal to the area of Rectangle C.

• A
• B
• C
• D

Rectangle D is made from 5 copies of Rectangle B.

Rectangle C has the same area as Rectangle D. Finish the equation by finding the expression in the parentheses.

• A
• B
• C
• D

Q11:

Complete:

Q12:

Find the missing numbers.

.

.

Q13:

Find the missing numbers.

.

.

.

.

Q14:

Complete:

Q15:

State the property that describes the equation .

• BIdentity property of multiplication
• DAssociative property of multiplication
• ECommutative property of multiplication

Q16:

Which of the following is an example of the associative property of multiplication?

• A
• B
• C
• D
• E

Q17:

Evaluate using the commutative and the associative properties.

Q18:

Use real number properties to evaluate mentally.

Q19:

Evaluate using the distributive property.

Q20:

Daniel wants to know the answer to .

His friends tell him other multiples of 14.

Explain how he can use his friends’ answers to figure out .

• AHe can divide 112 by 56.
• BHe can add 56 and 112.
• CHe can subtract 56 from 112.
• DHe can multiply 56 by 112.

What is ?

Q21:

Given that and , find .

Hint: Try finding and first.

Q22:

Olivia wants to know the answer to .

Her friends tell her other multiples of 13.

Explain how she can use her friends’ answers to figure out .

• AShe can multiply 91 by 65 because .
• BShe can add 91 to 65 because .
• CShe can add 91 to 65 because .
• DShe can multiply 91 by 65 because .

What is ?

Q23:

Use Noah’s fact to find the missing numbers.

Q24:

Given that , find .

Q25:

Complete: