Question

# Number 3625 is a terminating decimal or a non-terminating repeating decimal? Write it in decimal form.

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Solution

## Any rational number with its denominator in the form of 2m×5n, where m,n are positive integers have a terminating decimal expansion, otherwise it is non-terminating.Here, the denominator 625=54, i.e. composed of factor 5 only.Then, 3625 is a terminating decimal and its decimal form is 0.0048.

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