Question

The decimal expansion of 63/72×175 is
A. Terminating
B.non terminating
C. Non terminating and repeating
D. An irrational number

Answer 1

A. Terminating

Step-by-step explanation:

given number

$=63/\left ( 72\times 175 \right )$

$=63/\left ( 2^{3} \times 3^{2}\times 5^{2}\times 7\right )$          factorise the number            

$=3^{2}\times 7/\left \left ( 2^{3} \times 3^{2}\times 5^{2}\times 7\right )$        

$=1/\left ( 2^{3} \times 5^{2}\right )$

$=1\times 5/\left ( 2^{3}\times 5^{3} \right )$                 to made denominator in the form of 10 multiple

$=5/1000$

$=.005$

$this$  $number$ $is$  $terminating$

Answer 2

Answer:

since it is in the form of 2^m+5^n it is a terminating decimal expansion.