Question

The decimal expansion of a rational number is 7 3/2⁵x5³ will terminate after will decimal place
a)3
b)5
c)8
d)2​

Answer 1

5

Step by Step

$\huge \frac{73}{( {2}^{5} \times {5}^{3} )}$

$\huge = \frac{73 \times {5}^{2} }{( {2}^{5} \times {5}^{3} \times {5}^{2} )}$

$\huge = \frac{73 \times 25 }{( 2 \times 5 ) {}^{5} }$

$\huge = \frac{1825 }{ 10{}^{5} }$

$\huge= 0.01825$

Here, 5 numbers are left after decimal point.

So the decimal expansion of a rational number is 7 3/2⁵x5³ will terminate after will decimal place is 5.

Answer 2

Answer:

Step-by-step explanation:

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