Multiplying a decimal by a whole number uses the same method as multiplying two whole numbers. When multiplying by 10, 100 or 1000 you need to move each digit the correct number of places to the left.

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

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

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

- 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 \(0.05\)