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There are 10 millimetres in a centimetre.

Level 5-6 Numbers - Decimals - Multiplication and Division

Learn how to multiply and divide decimals in KS3 Maths. Understanding decimals helps you work accurately with money, measurements, and real-life data.

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Fascinating Fact:

Fitness trackers love decimals. 7.2 km in 48 minutes means 7.2 ÷ 48 which is 0.15 km per minute, equal to 9 km per hour.

In KS3 Maths, pupils learn to multiply and divide decimals with confidence. Decimals appear in everyday situations such as shopping, fitness tracking, and calculating distances, making it essential to understand how to handle them accurately.

Key Terms

Decimal: A number that includes a point to separate whole numbers from parts of a whole, such as 3.5 or 0.72.
Multiplication: Repeated addition, used here to increase decimal values or find totals.
Division: Sharing or splitting a number into equal parts, often used to find a smaller or unit value.

Frequently Asked Questions (Click to see answers)

How do you multiply decimals in KS3 Maths?

Ignore the decimal points, multiply as normal, then count and replace the decimal based on the total number of decimal places in the original numbers.

How do you divide decimals by whole numbers?

Divide as usual. If there is a remainder, add a decimal point and zeros, then continue dividing until you reach the required precision.

Why are decimals important in real life?

Decimals are used in money, measurements, sports statistics, and science. They help represent accurate amounts that are smaller than whole numbers.

Try These Related Quizzes

1 .

If a tube of toothpaste costs £1.57, how much do three tubes cost?

£3.15

£4.50

£4.66

£4.71

To double-check your answer, £1.57 + £1.57 + £1.57 is the same as £1.57 x 3!

2 .

How would you write 655.35mm in centimetres?

65.535cm

655.35cm

6,553.5cm

6,600cm

To divide by 10 just move all the digits one space to the right

3 .

A t-shirt costs £5.99. Mrs. Crawford bought one each for her four children. How much did she spend?

£20.00

£22.96

£23.96

£24.50

Remember to estimate the answer. £6.00 x 4 = £24.00, so the figure should be close to this

4 .

What is 6.04 ÷ 4?

1.4

1.5

1.51

6 ÷ 4 =1.5 and 0.4 ÷ 4 = 0.01. Now just add these two figures together

5 .

What is 1,270.5 ÷ 15?

82.7

84.7

86.7

88.7

You could work this one out in your head by first dividing 1,270.5 by 3 to get 423.5. Next you would divide 423.5 by 10 to get 42.35 (one 30th of 1,270.5). Multiply this number by 2 for the answer: 84.7. Or you could use pen and paper - much easier!

6 .

There are 10 millimetres in a centimetre. How would you write 34.12cm in millimetres?

3.412mm

34.12mm

341.2mm

3,412mm

Remember - all the digits move one place to the left when multiplying by 10

7 .

Joanne is building a bookcase and needs 38 fixings at 14p each. How much in total will she pay for the fixings?

£3.40

£5.32

£53.20

£532.00

Remember that 14p = 0.14 when written in decimals!

8 .

What is 2.42 x 5?

10.2

11.7

12.1

13.5

To multiply by 5 simply move all the digits one place to the left and then halve the answer

9 .

What is 48.44 x 7?

339.08

340.44

484.47

500

An approximation would be 50 x 7 = 350 so you know straightaway that last two answers are wrong

10 .

Joseph spends a total of £34.44 on four new rose bushes for his garden. How much is one rose bush?

£3.40

£3.44

£8.44

£8.61

34 ÷ 4 = 8.5 and 0.44 ÷ 4 = 0.11. Add these two figures together for the answer

You can find more about this topic by visiting BBC Bitesize - Decimals

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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