Lesson Worksheet: Dividing a Three-Digit Number by a One-Digit Number: Area Models Mathematics • 4th Grade

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.


Is 𝑎(𝑏÷𝑐)=𝑎𝑏÷𝑎𝑐?

  • AYes
  • BNo


Is 42×2<, =, or >814÷2?

  • A<
  • B>
  • C=


Using an area model, find 272÷2.


Which of the following models will help you to complete the given area model to find 234÷3?

  • A
  • B
  • C
  • D
  • E

What is the final result?


Complete the given area model that can be used to find 543÷3.

  • A140, 8, 1
  • B100, 80, 3
  • C100, 80, 0
  • D100, 80, 1
  • E120, 40, 3

What is the final result?


Use the given area model to find 639÷3.


Sophia solved 432÷3 as shown:

She found that 432÷3=100+44=144.

Using the same method, find 246÷2.


Olivia wants to use the distributive property to help solve the division problem 438÷3.

Which of these is the best way for her to rewrite the problem?

  • A(300+100+38)÷3
  • B(300+130+8)÷3
  • C(400+30+8)÷3
  • D(400+20+18)÷3
  • E(300+120+18)÷3

What should she get for her answer?


Anthony is solving the division problem 561÷3 by decomposing 561 into known multiples of 3.

He starts by putting the number 3 outside an area model, as shown below.

Which of the models shows how he could decompose 561 to help him divide it by 3?

  • A
  • B
  • C

What should he get for 561÷3?


David solves the division problem 972÷3 using the area model below. He starts by putting the number 3 outside the model. Then, he puts the number 900 in the left part of the model and the number 60 in the middle.

What number does he put in the right part of the model?

What does he get for 972÷3?

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