Lesson Worksheet: Distributive Property of Multiplication Mathematics • 3rd Grade

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:

David split 6 into 3+3 to find 6×9.

Sophia split 6 into 5+1 to find 6×9.

Whose method is correct?

  • AOnly Sophia’s method is correct.
  • BOnly David’s method is correct.
  • CThey are both correct.
  • DThey are both wrong.

What is 6×9?

Q2:

The number bond shows that 7=103.

What expression is missing?

  • A4×8
  • B10×8
  • C4×16
  • D10×16

Fill in the blank: 7×8=24.

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

Q3:

Fill in the blank: 4×10=4×5+4×.

Q4:

Write the subtraction expression that is missing: 3×4=(4×4)(4×1)==12.??

  • A1614
  • B184
  • C2614
  • D164

Q5:

Chloe is learning about different strategies to multiply.

She drew this to help her calculate 9×4.

What expression is missing in 4×9=()(4×1)?

  • A4×11
  • B4×10
  • C6×6
  • D10×5

What is 4×9?

Q6:

Use this multiplication fact to find the missing numbers.

Q7:

Michael has been told that he can solve 7×6 using the fact that 7=103.

He drew a model to show how.

What multiplication expression is missing to describe the model?

  • A3×7
  • B6×6
  • C3×10
  • D3×6

Pick the subtraction equation that is equal to 7×6.

  • A6030=30
  • B6018=42
  • C6036=24
  • D6021=39

Q8:

Use this multiplication fact to find the missing numbers.

Q9:

Here are 5 groups of 4 stars.

Write the missing expression: 5×4=(2×4)+().

Hint: 5=2+.

  • A5×2
  • B4×4
  • C5×4
  • D3×4

What number is missing from 5×4=8+?

Q10:

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

  • A6+4
  • B8+4
  • C10+2
  • D8+2

Q11:

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

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

Q12:

Fill in the blanks with the missing subtraction expression: 3×4=(4×4)(1×4)==12.

  • A164
  • B2614
  • C184
  • D1614

Q13:

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

Orangesquares=(10×6)()

Pick the equation that shows what he did.

  • A9×6=(10+1)×6
  • B9×6=(101)×6
  • C9×6=(61)×10
  • D10×6=(91)×6

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

  • A1×6
  • B1×1
  • C1×5
  • D6×6

Which calculation can he do to find 9×6?

  • A6010
  • B54+6
  • C606
  • D60+6

Q14:

Fill in the blanks: 32÷4=(20÷4)+(12÷4)=+=8.

  • A4+4
  • B5+4
  • C4+3
  • D5+3

Q15:

Daniel solved 18÷2 by writing it as the sum of simpler quotients.

Use this method to find the answers to these problems.

Find the final answer.

Find the addition expression.

  • A10 + 2
  • B1 + 3
  • C1 + 2
  • D10 + 3

Find the final answer.

Q16:

Write the addition expression that is missing: 18÷3=(12÷3)+(6÷3)=+=6.

  • A4+2
  • B3+3
  • C3+2
  • D4+3

Q17:

Daniel is using this model to help him divide by splitting 24.

Which expression has been covered?

  • A10÷4
  • B10÷2
  • C20÷2
  • D20÷4

Q18:

Fill in the blanks with the missing addition expression: 28÷4=(20÷4)+(8÷4)=+=7.

  • A5+4
  • B5+2
  • C3+2
  • D3+4

Q19:

Anthony is learning strategies to divide.

He finds that 21÷3=(12÷3)+(÷3).

What number is missing from his equation?

Use his equation to write the missing addition expression: 21÷3=+.

  • A4, 3
  • B12, 4
  • C4, 1
  • D12, 9

Q20:

James has solved 15÷3 by first writing it as the sum of simpler quotients.

Use this strategy to answer the questions.

Find the missing number.

Find the missing number.

16÷2=(?÷2)+(4÷2).

Write the missing sum.

  • A3+2
  • B3+3
  • C4+2
  • D4+3

Q21:

Chloe is learning to divide by using the distributive property.

Which expression is missing?

  • A18÷2
  • B12÷2
  • C12÷3
  • D18÷3

Q22:

Look at Ethan's work. He used 8=5+3 to write 8×3 as the sum of simpler products.

Find another sum of products that is equal to 8×3.

  • A(2×6)+(6×3)
  • B(3×3)+(6×3)
  • C(2×2)+(6×3)
  • D(2×3)+(6×3)

Q23:

Use the model to help you multiply.

Write the multiplication expression that is missing. 8×5=()+(3×5)=25+15=40.

  • A5×4
  • B6×5
  • C5×5
  • D5×3

Q24:

Select the rectangle that matches the expression 9×4=(5×4)+(4×4).

  • A
  • B
  • C
  • D
  • E

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