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:

Bassem split 6 into 3+3 to find 6×9.

Yara split 6 into 5+1 to find 6×9.

Whose method is correct?

  • AOnly Yara’s method is correct.
  • BOnly Bassem’s method is correct.
  • CThey are both correct.
  • DThey are both wrong.

What is 6×9?

Q2:

Fill in the blank: 4×10=4×(5+5)=(4×5)+(4×).

Q3:

Use this multiplication fact to find the missing numbers.

Q4:

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+?

Q5:

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

  • A6+4
  • B8+4
  • C10+2
  • D8+2

Q6:

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

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

Q7:

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)

Q8:

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

Q9:

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

  • A
  • B
  • C
  • D
  • E

Q10:

Noah and Natalie each simplify 5×9 by first breaking apart 9:

  • Noah breaks it apart into 3 and 6 and then finds the sum of 5×3 and 5×6.
  • Natalie breaks it apart into 4 and 5 and then finds the sum of 5×4 and 5×5.

Whose method is correct? Why?

  • ANeither Noah’s nor Natalie’s, because a number cannot be broken apart for multiplication
  • BBoth Noah’s and Natalie’s, because a number can be broken apart in more than one way for multiplication
  • COnly Natalie’s, because a number can be broken apart in only one way for multiplication
  • DOnly Noah’s, because a number can be broken apart in only one way for multiplication

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