# 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.

**Q3: **

Complete:

**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

Find the answer: .

**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

**Q12: **

Find the missing numbers.

.

.

**Q13: **

Find the missing numbers.

.

.

.

.

**Q14: **

Complete:

**Q15: **

State the property that describes the equation .

- ADistributive property of multiplication
- BIdentity property of multiplication
- CAssociative property of addition
- 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

**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: