Question

the decimal expension of the national number 23/8×5 will terminading after​

Answer 1

$\frac{23}{8 \times 5} \\ = \frac{23}{ {2}^{3} \times {5}^{1} }$

when denominator is expressed in the form

${2}^{m} \times {5}^{n}$

the degree (maximum power) of the denominator is the maximum number of terms a decimal expansion will terminate after.

In this case, since the denominator is of the form

2³ x 5¹, the degree of the denominator is 3

Hence, decimal expansion of 23/8 will terminate after 3 terms.