Without actual division, state whether the following rational number is terminating decimal or not..

Foundation

Mathematics Foundation

Properties of Real Number

Recurring Decimal Number

Linear Equations in One Variable

Question

Without actual division, state whether the following rational number is terminating decimal or not. $\frac{13}{80}$ .

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We can write $\frac{13}{80}$ as

\frac{13}{80} = \frac{13}{2 \times 2 \times 2 \times 2 \times 5} = \frac{13}{2^{4} \times 5}

If the denominator has prime factors as 2 or 5 then we can consider the rational number as a terminating Decimal.

\frac{13}{80}

is considered a terminating decimal as we have 2 and 5 as prime factors for 80.