Question

7/80 is terminating rational number or non terminating rational number?​

Answer 1

Answer:

$7 \div 80 = 0.0875$

0.0875 is a terminating rational number.

Explanation:

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Answer 2

$\frac{7}{80} = \frac{7}{ {2}^{4} \times {5}^{1} }$

A fraction is a terminating decimal if the prime factors of the denominator of the fraction is in the following form 

${2}^{m} \times {5}^{n}$

$now \\ = > \frac{7}{ {2}^{4} \times {5}^{1} } \\ multiplying \: with \: {5}^{3} \\ \\ = > \frac{7 \times {5}^{3} }{ {2}^{4} \times {5}^{1} \times {5}^{3} } \\ \\ = > \frac{7 \times 125}{ {2}^{4} \times {5}^{4} } \\ \\ = > \frac{875}{ {(2 \times 5)}^{4} } \\ \\ = > \frac{875}{ {10}^{4} } \\ \\ = > \frac{875}{10000}$

=> 0.0875

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