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Worksheet: Distributive Property of Division

Q1:

Olivia is learning to divide by using the distributive property.

Which expression is missing?

  • A 1 2 ÷ 2
  • B 1 2 ÷ 3
  • C 1 8 ÷ 2
  • D 1 8 ÷ 3

Q2:

Fill in the blanks:

  • A 4 + 4
  • B 5 + 4
  • C 4 + 3
  • D 5 + 3

Q3:

Michael solved 1 8 ÷ 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.

  • A1 + 3
  • B1 + 2
  • C10 + 3
  • D10 + 2

Find the final answer.

Q4:

Write the addition expression that is missing:

  • A 3 + 3
  • B 4 + 3
  • C 3 + 2
  • D 4 + 2

Q5:

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

Which expression has been covered?

  • A 2 0 ÷ 2
  • B 1 0 ÷ 4
  • C 1 0 ÷ 2
  • D 2 0 ÷ 4

Q6:

Elizabeth’s teacher is talking about division.

To solve 3 3 ÷ 3 , she breaks apart 33 into 3 0 + 3 .

Elizabeth tried to solve 4 2 ÷ 3 by breaking apart 42 into 4 0 + 2 .

She got stuck. What is the problem?

  • A2 is too small; she does not know enough division facts about it.
  • B40 is too big; she does not know enough division facts about it.
  • C40 and 2 are multiples of 3.
  • D40 and 2 are not multiples of 3.

How could she split 42?

  • A 2 9 + 1 3
  • B 3 2 + 1 0
  • C 2 0 + 2 2
  • D 3 0 + 1 2

What is 4 2 ÷ 3 ?

Q7:

Fill in the blanks with the missing addition expression:

  • A 3 + 4
  • B 5 + 4
  • C 3 + 2
  • D 5 + 2

Q8:

Liam is learning strategies to divide.

He finds that 2 1 ÷ 3 = ( 1 2 ÷ 3 ) + ( ÷ 3 ) .

What number is missing from his equation?

Use his equation to write the missing addition expression: 2 1 ÷ 3 = + .

  • A12, 4
  • B4, 1
  • C12, 9
  • D4, 3

Q9:

Is 𝑎 ( 𝑏 ÷ 𝑐 ) = 𝑎 𝑏 ÷ 𝑎 𝑐 ?

  • A no
  • B yes

Q10:

Liam and Isabella both had 24 squares.

Isabella made a group of 20 and a group of 4.

They divided their groups in half and still had the same amount of squares.

What number is missing?