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.


The diagram shows a rectangle of sides π‘Ž and 𝑏+𝑐. Its area is thus π‘ŽΓ—(𝑏+𝑐), also written as π‘Ž(𝑏+𝑐). Work out the area of the two rectangles that make up the bigger rectangle to find an equivalent expression to π‘Ž(𝑏+𝑐).

  • A𝑏+π‘Žπ‘
  • Bπ‘Žπ‘+π‘Žπ‘
  • Cπ‘Žπ‘Γ—π‘Žπ‘
  • Dπ‘Ž+𝑏+𝑐
  • Eπ‘Žπ‘+𝑐


Write two equivalent expressions for the area of the following rectangle.

  • A7(π‘₯+2), 7π‘₯+9
  • B7(π‘₯+2), 7π‘₯+14
  • C2(π‘₯+7), 2π‘₯+9
  • D2(π‘₯+7), 2π‘₯+14
  • E7(π‘₯+2), π‘₯+14


James split 6 into 3+3 to find 6Γ—9.

Scarlett split 6 into 5+1 to find 6Γ—9.

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 6Γ—9?


The number bond shows that 7=10βˆ’3.

What expression is missing?

  • A4Γ—8
  • B10Γ—8
  • C4Γ—16
  • D10Γ—16

Fill in the blank: 7Γ—8=βˆ’24.

Hint: Use the number bond and that 3Γ—8=24.


Fill in the blank: 4Γ—10=4Γ—5+4Γ—.


Write the subtraction expression that is missing: 3Γ—4=(4Γ—4)βˆ’(4Γ—1)=βˆ’=12.??

  • A16βˆ’14
  • B18βˆ’4
  • C26βˆ’14
  • D16βˆ’4


Olivia is learning about different strategies to multiply.

She drew this to help her calculate 9Γ—4.

What expression is missing in 4Γ—9=()βˆ’(4Γ—1)?

  • A4Γ—11
  • B4Γ—10
  • C6Γ—6
  • D10Γ—5

What is 4Γ—9?


Use this multiplication fact to find the missing numbers.


Michael has been told that he can solve 7Γ—6 using the fact that 7=10βˆ’3.

He drew a model to show how.

What multiplication expression is missing to describe the model?

  • A3Γ—7
  • B6Γ—6
  • C3Γ—10
  • D3Γ—6

Pick the subtraction equation that is equal to 7Γ—6.

  • A60βˆ’30=30
  • B60βˆ’18=42
  • C60βˆ’36=24
  • D60βˆ’21=39


Use this multiplication fact to find the missing numbers.


Here are 5 groups of 4 stars.

Write the missing expression.

Hint: 5=2+?

  • A5Γ—2
  • B4Γ—4
  • C5Γ—4
  • D3Γ—4

What number is missing?


Write the addition expression that is missing: 6Γ—2=(4Γ—2)+(2Γ—2)=+=12.

  • A6+4
  • B8+4
  • C10+2
  • D8+2


Write the addition expression that is missing in 3Γ—6=(2Γ—6)+(1Γ—6)=+=18.

  • A10+8
  • B16+2
  • C12+6
  • D12+16


Solve 8Γ—99=(π‘₯Γ—88)+(π‘₯Γ—11).

  • Aπ‘₯=704
  • Bπ‘₯=176
  • Cπ‘₯=99
  • Dπ‘₯=8
  • Eπ‘₯=4


Fill in the blanks with the missing subtraction expression: 3Γ—4=(4Γ—4)βˆ’(1Γ—4)=βˆ’=12.

  • A16βˆ’4
  • B26βˆ’14
  • C18βˆ’4
  • D16βˆ’14


Given that 15Γ—5=75 and 15Γ—30=450, find 15Γ—53.

Hint: Try finding 15Γ—50 and 15Γ—3 first.


Mason drew this array to help him multiply 9 by 6.


Pick the equation that shows what he did.

  • A9Γ—6=(10+1)Γ—6
  • B9Γ—6=(10βˆ’1)Γ—6
  • C9Γ—6=(6βˆ’1)Γ—10
  • D10Γ—6=(9βˆ’1)Γ—6

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

  • A1Γ—6
  • B1Γ—1
  • C1Γ—5
  • D6Γ—6

Which calculation can he do to find 9Γ—6?

  • A60βˆ’10
  • B54+6
  • C60βˆ’6
  • D60+6


Given that 73Γ—20=1,460, find 73Γ—22.


Michael wants to know the answer to 12Γ—14.

His friends tell him other multiples of 14.

Explain how he can use his friends’ answers to figure out 12Γ—14.

  • 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 12Γ—14?


Victoria wants to know the answer to 12Γ—13.

Her friends tell her other multiples of 13.

Explain how she can use her friends’ answers to figure out 12Γ—13.

  • AShe can multiply 91 by 65 because 12=7+5.
  • BShe can add 91 to 65 because 12=7Γ—5.
  • CShe can add 91 to 65 because 12=7+5.
  • DShe can multiply 91 by 65 because 12=7Γ—5.

What is 12Γ—13?


Use Anthony’s fact to find the missing numbers.




Complete: (9Γ—10)+(Γ—10)=120.

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