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 \(0.05\)