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.

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:

QUESTION 1 of 10

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...

Lets 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.

Work out:

280 ÷ 5

Consider the calculation:

35 ÷ 0.05

Which of the calculations below have the same answer as the one above?

35 ÷ 0.5

350 ÷ 0.5

350 ÷ 5

3500 ÷ 5

Consider the calculation:

820 ÷ 0.04

Which of the calculations below will give the correct answer?

8200 ÷ 4

82000 ÷ 4

375 ÷ 0.5

Then complete the sentence below.

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.

Bigger

Smaller

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

384 ÷ 0.05

76800

7680

768

76.8

This question is a little more challenging - let's end on a high!

Work out, without using a calculator:

0.008 ÷ 0.2

• Question 1

Work out:

280 ÷ 5

56
EDDIE SAYS
A quick one to revise division to get you started. Did you use the bus stop method to do this one? You should have something that looks like this...
 5 280
How many 5s can we fit into 2? 0 and carry the 2 into the next column. How many 5s can we fit into 28? 5 and carry 3 into the next column. How many 5s can we fit into 30? 6 So our answer is 56, with no remainder. Did that one dust off your division skills? Let's divide some decimals now...
• Question 2

Consider the calculation:

35 ÷ 0.05

Which of the calculations below have the same answer as the one above?

350 ÷ 0.5
3500 ÷ 5
EDDIE SAYS
You need to remember here that you have to multiply both numbers by 10 if you want to change them. In options 1 and 3, the numbers have not been multiplied by the same multiples of 10. Option 2 has multiplied the original sum by 10, whilst option 4 has multiplied it by 100. These two sums, and the original, will all produce the same answer of 700.
• Question 3

Consider the calculation:

820 ÷ 0.04

Which of the calculations below will give the correct answer?

82000 ÷ 4
EDDIE SAYS
To get rid of the decimals in the second number, we have to multiply our sum by 10 then 10 again, so 100 overall. Remember that the key when dividing by decimals is to multiply by 10 until you have a non-decimal, second number.
• Question 4

375 ÷ 0.5

Then complete the sentence below.

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

Without a calculator, find the answer to:

375 ÷ 0.5

750
EDDIE SAYS
We are trying to divide by 0.5 so we need to multiply by 10 to convert this decimal into a whole number. If we do this, we get: 3750 ÷ 5 We can now just use the bus stop method to answer this division as usual.
• Question 6

Without a calculator, find the answer to:

29.4 ÷ 0.2

147
EDDIE SAYS
Does it matter that the first number is a decimal this time? Absolutely not! We only need to worry about converting the second number into a non-decimal. We are trying to divide by 0.2 so we need to multiply this by 10 to reach 2. If we multiply the whole sum by 10, we get: 294 ÷ 2 We can now use the bus stop method or mental methods to answer this.
• Question 7

Without a calculator, find the answer to:

4.84 ÷ 0.2

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 point in the answer will be in exactly the same place as it is in the question.
• Question 8

Complete the sentence below.

Bigger
EDDIE SAYS
Think about how many halves you have in 10? There are 20 halves, and only 10 whole numbers. So when we are dividing by a number which is less than 1, our answer will always increase. Hopefully you picked one of our word choices to describe this change.
• Question 9

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

384 ÷ 0.05

7680
EDDIE SAYS
Our divisor here has two decimal places, so we need to multiply it by 10 twice to convert it into a whole number. If we do this correctly we reach: 38400 ÷ 5 We can then calculate this division as usual using the bus stop method or mental methods of your choice.
• Question 10

This question is a little more challenging - let's end on a high!

Work out, without using a calculator:

0.008 ÷ 0.2

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 convert the second number from a decimal into a whole. Then we reach: 0.08 ÷ 2 What's half of 0.08? Good job on completing another activity! If you found any of the division tricky in this, why not revise the bus stop and mental methods in the division area?
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