Worksheet: Dividing a Three-Digit Number by a One-Digit Number: Area Models

In this worksheet, we will practice dividing two- and three-digit numbers by one-digit numbers by breaking the numbers apart and using the distributive property.

Q1:

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

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

Q2:

Olivia is learning to divide by using the distributive property.

Which expression is missing?

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

Q3:

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? 24÷2=(÷2)+(4÷2).

Pick the equation that matches what they did.

  • A 2 4 ÷ 2 = 5 + 7
  • B 2 4 ÷ 2 = 1 + 2
  • C 2 4 ÷ 2 = 1 4 + 2
  • D 2 4 ÷ 2 = 1 0 + 2

Q4:

Liam 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, 9
  • C12, 4
  • D4, 1

Q5:

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

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

Q6:

Michael 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.

  • A1 + 2
  • B10 + 2
  • C10 + 3
  • D1 + 3

Find the final answer.

Q7:

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

Which expression has been covered?

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

Q8:

Ethan 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.

1 6 ÷ 2 = ( ? ÷ 2 ) + ( 4 ÷ 2 ) .

Write the missing sum.

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

Q9:

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

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

Q10:

Mason spilled ink over his division homework.

What number is the arrow pointing at?

Q11:

Is 𝑎(𝑏÷𝑐)=𝑎𝑏÷𝑎𝑐?

  • A no
  • B yes

Q12:

Elizabeth’s teacher is talking about division.

To solve 33÷3, she breaks apart 33 into 30+3.

Elizabeth tried to solve 42÷3 by breaking apart 42 into 40+2.