Decimal numbers are those that are smaller than a unit and written after a decimal point. Decimal numbers are an alternative way of writing fractions. A quarter written as a fraction would be ^{1}⁄_{4} but written as a decimal would be 0.25. This KS3 Maths quiz will help you understand multiplying and dividing decimals by the powers of 10, like 10, 100 or 1,000.

When you multiply decimal numbers by 10 all the digits move one place to the left. Divide by 10 and they all move one place to the right. In a similar way, when you multiply decimal numbers by 100 all the digits move two places to the left. Divide by 100 and they all move two places to the right. Remember that rule and you'll soon get to grips with multiplying and dividing decimals.

Multiplying or dividing decimals by 10, 100 or even 1,000 is really quite easy once you get the hang of it. This quiz will help you do just that. Take your time and read each question carefully before submitting your answer. See if you can get 10 out of 10 with the powers of 10 and decimals.

1.

What is 68.72 / 10?

6

6.872

687.2

6,872

Just shift the digits one place to the right

2.

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

3.

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

4.

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

5.

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

6.

What is 4.65 x 10?

0.465

46.5

465

4,650

Just shift the digits one place to the left

7.

What is 0.04 / 10?

0.004

004

00.4

4

Note that you need to add a zero before the decimal point

8.

What is 88.3 / 100?

0.883

8.083

8.83

883

Bear in mind the digits move, not the decimal point

9.

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

10.

When dividing decimals by 10, how many places do the digits move?

0

1

2

3

1 zero means move 1 place