1Cademy - Multiplying $$5.63$$ by Powers of Ten

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Procedure for Multiplying a Decimal by a Power of Ten

Example

Multiplying $5.63$ by Powers of Ten

Multiply $5.63$ by $10$ , $100$ , and $1{,}000$ using the power-of-ten shortcut. The strategy is to count the zeros in the power of ten and shift the decimal point that many places to the right. (a) $5.63 \times 10$ : The number $10$ contains $1$ zero, so move the decimal point $1$ place to the right. The result is $56.3$ . (b) $5.63 \times 100$ : The number $100$ contains $2$ zeros, so move the decimal point $2$ places to the right. The result is $563$ . (c) $5.63 \times 1{,}000$ : The number $1{,}000$ contains $3$ zeros, so the decimal point must shift $3$ places to the right. Because $5.63$ has only $2$ digits after the decimal point, a zero is appended at the end to fill the third position. The result is $5{,}630$ .

Updated 2026-05-02

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