Dividing Decimals

Contributor: Rachel Lewis. Lesson ID: 12773

A period at the end of a sentence means . . . it's the end of a sentence. However, a similar dot in a number doesn't have to mean the end of your math career! Learn how easy it is to divide decimals!

categories

Elementary

subject
Math
learning style
Visual
personality style
Lion, Beaver
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

Audio:
  • Don’t you hate it when you are dividing decimal numbers and that pesky decimal point gets in your way?

Here’s a trick: just ignore it and divide!

To divide a decimal number, you can use long division like you would use to solve any division problem with whole numbers.

  1. First, set up your division problem.
  2. Bring the decimal point from the dividend up to the quotient.
  3. Then, ignore the decimal point and divide the two numbers!

Watch some examples of dividing decimals in the video below.

As you watch, work out the problems along with Mr. J on a piece of paper. Then, think about the steps that you took to find the answers.

Dividing Decimals - Whole Number Divisors | 5th Grade Math from Math with Mr. J:

  • What are the steps you can use to divide decimals?

Review the steps and explain what you learned from the video aloud.

Check your answers below:

  1. Set up the long division problem.
  2. Bring the decimal point from the dividend up to the quotient. Make sure they line up correctly.
  3. Then, ignore the decimal point and divide as you would with whole numbers.
  4. Check your answer: does it make sense?

Like the examples in the video, you can divide decimal numbers in real life to split money between people.

Use the steps above to solve 7.48 ÷ 2 with long division:

      3 . 7 4
  1. Set up the long division problem.
  2. Bring the decimal point from the dividend up to the quotient.
  3. Divide as you would with whole numbers.
  2   7 . 4 8
    - 6      
      1   4  
    - 1   4  
          0 8
          - 8
            0

 

 

You can multiply the divisor by the quotient to check your answer:

    1      
    3 . 7 4
  x       2
    7 . 4 8

 

Correct!

You learned how to use a strategy to complete a long division problem. Remember to bring the decimal point straight up from the dividend to the quotient. Then, ignore the decimal point and divide.

Use your new strategies in the Got It? section to try some practice problems on your own!

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