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.

  • A4+2
  • B3+3
  • C3+2
  • D4+3

Q2:

Olivia is learning to divide by using the distributive property.

Which expression is missing?

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

  • A24÷2=1+2
  • B24÷2=10+2
  • C24÷2=5+7
  • D24÷2=14+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, 4
  • C4, 1
  • D12, 9

Q5:

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

  • A5+4
  • B5+2
  • C3+2
  • D3+4

Q6:

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.

Q7:

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

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.

16÷2=(?÷2)+(4÷2).

Write the missing sum.

  • A3+2
  • B3+3
  • C4+2
  • D4+3

Q9:

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

  • A4+4
  • B5+4
  • C4+3
  • D5+3

Q10:

Mason spilled ink over his division homework.

What number is the arrow pointing at?

Q11:

Is 𝑎(𝑏÷𝑐)=𝑎𝑏÷𝑎𝑐?

  • Ayes
  • Bno

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.

She got stuck. What is the problem?

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

How could she split 42?

  • A29+13
  • B30+12
  • C20+22
  • D32+10

What is 42÷3?

Q13:

Use <, =, or > to fill in the blank: 2÷45×10.hundreds

  • A=
  • B>
  • C<

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