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.
Image caption, Multiplying a decimal by 10
What is 4.25 × 10?
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Multiplying by 100
When multiplying by 100, each digit moves two places to the left.
Image caption, Multiplying a decimal by 100
What is 0.103 × 100?
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Multiplying by 1,000
When multiplying by 1,000 , each digit moves three places to the left.
Image caption, Multiplying a decimal by 1,000
What is 0.04 × 1,000?
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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 \(0.05\)