# Worksheet: Distributive Property of Multiplication

In this worksheet, we will practice using the distributive property of multiplication to multiply numbers up to 10×10 by breaking the numbers apart.

Q1:

The diagram shows a rectangle of sides and . Its area is thus , also written as . Work out the area of the two rectangles that make up the bigger rectangle to find an equivalent expression to . • A
• B
• C
• D
• E

Q2:

Write two equivalent expressions for the area of the following rectangle. • A,
• B,
• C,
• D,
• E,

Q3:

James split 6 into to find . Scarlett split 6 into to find . Whose method is correct?

• AOnly Scarlett’s method is correct.
• BOnly James’s method is correct.
• CThey are both correct.
• DThey are both wrong.

What is ?

Q4:

The number bond shows that . What expression is missing? • A
• B
• C
• D

Fill in the blank: .

Hint: Use the number bond and that .

Q5:

Fill in the blank: .

Q6:

Write the subtraction expression that is missing:

• A
• B
• C
• D

Q7:

Olivia is learning about different strategies to multiply.

She drew this to help her calculate . What expression is missing in ?

• A
• B
• C
• D

What is ?

Q8:

Use this multiplication fact to find the missing numbers.   Q9:

Michael has been told that he can solve using the fact that .

He drew a model to show how. What multiplication expression is missing to describe the model? • A
• B
• C
• D

Pick the subtraction equation that is equal to .

• A
• B
• C
• D

Q10:

Use this multiplication fact to find the missing numbers.    Q11:

Here are 5 groups of 4 stars. Write the missing expression. Hint:

• A
• B
• C
• D

What number is missing? Q12:

Write the addition expression that is missing:

• A
• B
• C
• D

Q13:

Write the addition expression that is missing in • A
• B
• C
• D

Q14:

Solve .

• A
• B
• C
• D
• E

Q15:

Fill in the blanks with the missing subtraction expression: • A
• B
• C
• D

Q16:

Given that and , find .

Hint: Try finding and first.

Q17:

Mason drew this array to help him multiply 9 by 6. Pick the equation that shows what he did.

• A
• B
• C
• D

Which expression should he write for the number of green squares?

• A
• B
• C
• D

Which calculation can he do to find ?

• A
• B
• C
• D

Q18:

Given that , find .

Q19:

Michael 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 ?

Q20:

Victoria 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 ?

Q21:

Use Anthony’s fact to find the missing numbers. Q22:

Complete: