# Multiplying decimals by 10, 100 and 1,000

## Multiplying by 10

When a decimal is multiplied by 10, each digit moves one place to the left.

Multiplying a decimal by 10

What is 4.25 × 10?

## Multiplying by 100

When multiplying by 100, each digit moves two places to the left.

Multiplying a decimal by 100

What is 0.103 × 100?

## Multiplying by 1,000

When multiplying by 1,000 , each digit moves three places to the left.

Multiplying a decimal by 1,000

What is 0.04 × 1,000?

Question

Which is bigger: $$0.005 \times 10$$ or $${0.0004}\times{1,000}$$?

The answer is $${0.0004}\times{1,000}$$

If your answer is incorrect, remember that multiplying by $${10}$$ moves each digit one place to the left.

Therefore, $$0.005 \times 10 = 0.05$$

Multiplying by $$1,000$$ moves each digit three places to the left.

Therefore, $${0.0004}\times{1,000} = {0.4}$$

$$0.4$$ is bigger than $$0.05$$