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Divide Decimals

In this worksheet, students will practise dividing by a decimal.

'Divide Decimals' worksheet

Key stage:  KS 4

Curriculum topic:  

Curriculum subtopic:  

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Students who can divide sometimes have a mental block when it comes to dividing decimals.

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

 

Multiplying up

Lets say you have the sum 24 ÷ 0.5

We don't want to deal with the decimal, so lets get rid of it.

The trick here is that you just 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     (Try putting it into a calculator if you don't believe me!)

Now we can just do the sum as normal.

 

Example 1:

24 ÷ 0.2

Multiply each number by 10

240 ÷ 2

Do the sum as normal

24 ÷ 0.2 = 120

 

Example 2:

375 ÷ 0.05

Multiply each number by 10

3750 ÷ 0.5

As the second number is still a decimal, we multiply by 10 again

37500 ÷ 5

Now we can do it as normal!

375 ÷ 0.05 = 7500

Work out 280 ÷ 5

 

The calculation 35 ÷ 0.05 has the same answer as which of the following calculations?

35 ÷ 0.5

350 ÷ 0.5

350 ÷ 5

3500 ÷ 5

For the calculation

820 ÷ 0.04

Which of the following will give the correct answer?

8200 ÷ 4

82000 ÷ 4

Find the answer to 375 ÷ 0.5

8200 ÷ 4

82000 ÷ 4

Without a calculator, find the answer to 375 ÷ 0.5

Without a calculator, find the answer to 29.4 ÷ 0.2

Without a calculator, find the answer to 4.84 ÷ 0.2

Complete the sentence below.

Which of the following options is the correct solution for the sum below?

 

384 ÷ 0.05

76800

7680

768

76.8

This question is more challenging.

Work out, without using a calculator;

 

0.008 ÷ 0.2

  • Question 1

Work out 280 ÷ 5

 

CORRECT ANSWER
56
EDDIE SAYS
A quick one to just check you can divide numbers. Did you use the bus stop method to do this one? You should have something that looks like this...
   
5 280
  • Question 2

The calculation 35 ÷ 0.05 has the same answer as which of the following calculations?

CORRECT ANSWER
350 ÷ 0.5
3500 ÷ 5
EDDIE SAYS
You just need to remember here that you have to multiply both numbers by 10 of you want to change them. In options 1 and 3, the numbers have not been multiplied by the same amount.
  • Question 3

For the calculation

820 ÷ 0.04

Which of the following will give the correct answer?

CORRECT ANSWER
82000 ÷ 4
EDDIE SAYS
To get rid of the decimals in the second number, we have to multiply by 10 twice.
  • Question 4

Find the answer to 375 ÷ 0.5

CORRECT ANSWER
EDDIE SAYS
The second number has two decimals, so we need to multiply by 10 (which gets rid of 1 decimal place) twice. Great focus! You're getting the hang of this with each question attempt.
  • Question 5

Without a calculator, find the answer to 375 ÷ 0.5

CORRECT ANSWER
750
EDDIE SAYS
We are trying to divide by 0.5 so we need to multiply by 10. If we do this, we get 3750 ÷ 5 We can now just use the bus stop method to answer this.
  • Question 6

Without a calculator, find the answer to 29.4 ÷ 0.2

CORRECT ANSWER
147
EDDIE SAYS
Does it matter that the first number is a decimal this time? Absolutely not, we only need to worry about the second number to start with. We are trying to divide by 0.2 so we need to multiply by 10. If we do this, we get 294 ÷ 2 We can now just use the bus stop method to answer this.
  • Question 7

Without a calculator, find the answer to 4.84 ÷ 0.2

CORRECT ANSWER
24.2
EDDIE SAYS
If we do what we've been doing so far and multiply by 10, we get 48.4 ÷ 2. Does it make a difference that the first number is still a decimal? Not at all, it just means our answer will be one as well. Remember when you are using the bus stop to divide a decimal, the decimal in the answer will be in the same place as it is in the question.
  • Question 8

Complete the sentence below.

CORRECT ANSWER
EDDIE SAYS
Think about how many halves you have in 10? Do you have more or less than 10?
  • Question 9

Which of the following options is the correct solution for the sum below?

 

384 ÷ 0.05

CORRECT ANSWER
7680
EDDIE SAYS
Our second number has two decimal places so we need to times by 10 twice. If we do this correctly we get 38400 ÷ 5 which we can calculate by using the bus stop method.
  • Question 10

This question is more challenging.

Work out, without using a calculator;

 

0.008 ÷ 0.2

CORRECT ANSWER
0.04
EDDIE SAYS
This does look more difficult than but let me let you into a secret. It's exactly the same. We still need to multiply by 10 to get the second number as a whole. 0.08 ÷ 2 What's half of 0.08?
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