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.

Diagram explaining multiplying a decimal by 10

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.

Diagram explaining multiplying a decimal by 100

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.

Diagram explaining multiplying a decimal by 1000

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.