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State Whether the Following Rational Number Will Have a Terminating Decimal Expansion Or a Non-terminating Repeating Decimal Expansion: 17 8

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Question

State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

`17/8`

Sum
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Solution

`17/8 = 17/2^3`

Since the denominator has only 2 as its factor, it is a terminating decimal expansion.

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