# Worksheet: Properties of Multiplication

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:

Find the missing numbers. .

.

Q7:

Complete .

• A
• B
• C
• D

Q8:

What is the multiplicative neutral element in ?

Q9:

If and , what is the value of ?

Q10:

Is , or ?

• A
• B
• C

Q11:

Does the associative property apply to division?

• Ano
• Byes

Q12:

Liam knows that, when you multiply, you can change the order of the factors. So, Does this work when we divide? • Ayes
• Bno

Q13:

Jacob knows that, when you multiply, you can change the order of the factors. So,

Elizabeth says that this works when you divide, so

Is she correct?

• Ayes
• Bno

Q14:

Chloe is skip counting to solve . How else could she skip count to find ?

• A
• B
• C
• D

Which other equation would this solve?

• A
• B
• C
• D

Q15:

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

Q16:

Compare the expressions. Pick the symbol that is missing. • A
• B
• C

Q17:

.

• A0, 0
• B1, 9
• C0, 9
• D1, 1

Q18: 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

Q19:

Complete:

Q20:

Find the missing numbers.

.

.

Q21:

Find the missing numbers.

.

.

.

.

Q22:

Complete: