In the form of p/2^n x 5^m, 0.105 can be written as

Question

In the form of \(\frac p{2^n \times 5^m}\), 0.105 can be written as

(A) \(\frac{21}{2^2 \times 5^2}\)

(B) \(\frac{21}{2^3 \times 5^3}\)

(C) \(\frac{21}{2^3 \times 5^2}\)

(D) \(\frac{21}{2 \times 5^3}\)

Answer 1

Correct option is (C) \(\frac{21}{2^3 \times 5^2}\)

In this case,

\(0.105=\frac{105}{1000}=\frac{21}{200}\)

Denominator is \(200=2^{3} \times 5^{2}\)

Denominator is of the form \(2^{n} \times 5^{m}\)

\(\frac{21}{2^{3} \times 5^{2}}\)