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Level 3-4 Numbers - Decimals - Powers of 10
When multiplying decimals by 100 the digits move two places to the left.

Level 3-4 Numbers - Decimals - Powers of 10

Let's talk about decimal numbers - they're the cool ones smaller than 1 and hang out after a decimal point. Decimals are like the superheroes of fractions, giving them a different look. Imagine a quarter - as a fraction, it's 1⁄4, but as a decimal, it's 0.25. This KS3 Maths quiz is your guide to understanding multiplying and dividing decimals by the awesome powers of 10, like 10, 100, or 1,000.

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Here's the trick: when you multiply by 10, all the digits scoot one place to the left. Divide by 10, and they zip one place to the right. Same goes for multiplying or dividing by 100 - two places! Remember this rule, and you'll rock multiplying and dividing decimals in no time.

Ready for some decimal superhero action? Play this quiz to master multiplying and dividing decimals with the powers of 10. Take your time, read each question carefully, and aim for a perfect 10 out of 10!

1.
What is 68.72 / 10?
6
6.872
687.2
6,872
Just shift the digits one place to the right
2.
When dividing decimals by 10, how many places do the digits move?
0
1
2
3
1 zero means move 1 place
3.
When multiplying decimals by 100, how many places do the digits move?
0
1
2
3
2 zeros before the decimal means move 2 places
4.
What is 7.75 x 100?
0.775
0.7
77.5
775
To multiply by 100 move the digits two places to the left
5.
What is 4.65 x 10?
0.465
46.5
465
4,650
Just shift the digits one place to the left
6.
What is 0.08 x 10?
0
0.1
0.8
8
Remember it's the digits that move one place to the left when multiplying by 10
7.
What is 44.87 x 100?
4.4
449
4,487
4,490
To multiply by 100 move the digits two places to the left
8.
What is 0.04 / 10?
0.004
004
00.4
4
Note that you need to add a zero before the decimal point
9.
What is 88.3 / 100?
0.883
8.083
8.83
883
Bear in mind the digits move, not the decimal point
10.
What is 692.14 / 100?
0.69214
6.9214
69.214
6,921.4
To divide by 100 move the digits two places to the right
You can find more about this topic by visiting BBC Bitesize - Decimals

Author:  Frank Evans
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