what is terminating decimal expansion
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A number has a terminating decimal expansion if the digits after the decimal point terminate. The fraction 5/10 has the decimal expansion 0.5, which is a terminating decimal expansion because digits after the decimal point end after one digit.
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A terminating decimal is a decimal that ends. It's a decimal with a finite or limited number of digits. For example = 0.25, it has only two decimal digits.
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