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When multiplying decimals by 100 the digits move two places to the left.

Level 3-4 Numbers - Decimals - Powers of 10

Move decimals using powers of 10. Learn how multiplying or dividing by 10, 100, and 1,000 shifts digits and supports scientific notation.

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Fascinating Fact:

Scientists use powers of 10 to measure distances in space, such as the Earth being about 1.5 × 10⁸ kilometres from the Sun.

In KS3 Maths, powers of 10 help you scale numbers quickly. Multiplying by 10, 100, or 1,000 shifts digits left; dividing shifts them right. You also write very large or small values using scientific notation, like 3.75 × 10⁴ or 6.2 × 10⁻³.

Key Terms

Power of 10: A number like 10, 100, 1,000 or 10ⁿ, used to scale values by shifting digits.
Scientific notation: Writing a number as a × 10ⁿ with 1 ≤ a < 10 and integer n.
Place value shift: Moving the decimal point left or right when multiplying or dividing by powers of 10.

Frequently Asked Questions (Click to see answers)

How do powers of 10 move the decimal point?

Multiply by 10, 100, 1,000 to move the decimal right 1, 2, 3 places. Divide to move it left. Example: 3.47 × 100 = 347; 58.2 ÷ 10 = 5.82.

What is scientific notation for decimals?

Write numbers as a × 10ⁿ with 1 ≤ a < 10. Examples: 0.0062 = 6.2 × 10⁻³; 45,000 = 4.5 × 10⁴.

Why does multiplying by 10ⁿ change place value?

Each factor of 10 scales a number by one place value. Ten ones make a ten, ten tens make a hundred, so digits shift positions by n places.

Try These Related Quizzes

1 .

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

2 .

What is 88.3 / 100?

0.883

8.083

8.83

883

Bear in mind the digits move, not the decimal point

3 .

When multiplying decimals by 100, how many places do the digits move?

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 0.04 / 10?

0.004

004

00.4

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

6 .

What is 0.08 x 10?

0.1

0.8

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 4.65 x 10?

0.465

46.5

465

4,650

Just shift the digits one place to the left

9 .

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

1 zero means move 1 place

10 .

What is 68.72 / 10?

6.872

687.2

6,872

Just shift the digits one place to the right

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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