Solution : Let x = 6372×175⇒x = 3×3×72×2×2×3×3×5×5×7⇒x = 12×2×2×5×5 = 123×52Now, the prime factorisation of denominator of the given rational number is of the form of 2m×5n; where m and n are non-negative integers Hence, the given number has terminating decimal expansion Option (a) is correct

a n s we r??

Solution :

$Let x = \frac{63}{72 \times 175} \Rightarrow x = \frac{3 \times 3 \times 7}{2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5 \times 7} \Rightarrow x = \frac{1}{2 \times 2 \times 2 \times 5 \times 5} = \frac{1}{2^{3} \times 5^{2}} Now, the prime factorisation of denominator of the given rational number is of the form of 2^{m} \times 5^{n}; where m and n are non - negative integers . Hence, the given number has terminating decimal expansion .$

Option (a) is correct.

View Full Answer