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Divide Decimals

In this worksheet, students will practise dividing whole numbers and decimals by each other, removing the decimal places by multiplying both numbers by multiples of 10.

'Divide Decimals' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic:   Number, Fractions, Decimals and Percentages

Curriculum subtopic:   Structure and Calculation Decimal Fractions

Difficulty level:  

Worksheet Overview

Even though you may be able to divide, dividing decimals can seem much more challenging. 

While it can look daunting at first, with a few little tricks and tips, it's no more difficult than doing normal division.

 

Multiplying up...

Let's say you have the sum 24 ÷ 0.5

We don't want to deal with the decimal, so let's just get rid of it!

The trick here is to keep multiplying both the numbers by 10 until the second number isn't a decimal anymore.

Going back to our sum, if we multiply both numbers by 10, we get:

 

24 ÷ 0.5 = 240 ÷ 5    

 

These sums are identical!

(Try putting them into a calculator if you don't believe me!)

Now we can just calculate the sum as normal.

 

 

Let's try this with some examples now...

 

e.g. 24 ÷ 0.2

 

Multiply each number by 10 to reach:

240 ÷ 2

Then calculate the sum as normal:

24 ÷ 0.2 = 120

It's as simple as that!

 

 

e.g. 375 ÷ 0.05

 

Multiply each number by 10 to reach:

3750 ÷ 0.5

As the second number is still a decimal, we need to multiply by 10 again to get:

37500 ÷ 5

Now we can calculate as normal!

375 ÷ 0.05 = 7500

 

 

In this activity, you will practise dividing whole numbers and decimals by each other, removing the decimal places by multiplying both numbers by multiples of 10. 

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