Question

write the decimal expansion of 7 /8 without actual division​

Answer 1

Answer:

0.875

Step-by-step explanation:

To find the decimal expansion of 7/8 without actual division, first factorise the denominator in its prime factors

$\frac{7}{8} \\ \\ = \frac{7}{ {2}^{3} }$

multiply and divide by 5 cube

$\frac{7 \times {5}^{3} }{ {2}^{3} \times {5}^{3} } \\ \\ = \frac{7 \times 125}{ {(2 \times 5)}^{3} } \\ \\ = \frac{875}{ {(10)}^{3} } \\ \\ = \frac{875}{1000} \\ \\ = 0.875 \\ \\ so \\ \\ \frac{7}{8} = 0.875$

Hope it helps you.

Answer 2

Step-by-step explanation:

I think it will help you