Question

express the denominator of 0.875 and 0.01764 in the form of 2m and 5n

Answer 1

Step-by-step explanation:

$\frac{p}{ {2}^{m} \times {5}^{n} } \\ ( i) \: 0.875 \\ = \frac{875}{1000} \\ = \frac{875}{2 \times 5 \times 2 \times 5 \times 2 \times 5} \\ = \frac{875}{ {2}^{3} \times {5}^{3} } \\ (ii) \: 0.01764 \\ = \frac{1765}{100000} \\ = \frac{1765}{2 \times 5 \times 2 \times 5 \times 2 \times 5 \times 2 \times 5 \times 2 \times 5 } \\ = \frac{1765}{ {2}^{5} \times {5}^{5} } \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$