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Write the denominator of the rational nu...

Write the denominator of the rational number `257/5000` in the form `2^m xx 5^n`, where m, n and non-negative integers. Hence, write its decimal expansion without actual division.

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To solve the problem of expressing the denominator of the rational number \( \frac{257}{5000} \) in the form \( 2^m \times 5^n \) and finding its decimal expansion, we can follow these steps: ### Step 1: Factor the Denominator We start with the denominator, which is \( 5000 \). We need to factor it into its prime factors. \[ 5000 = 5 \times 1000 \] ...
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