Question

Find the decimal expansion of 7/8,1/4 and 100/3​

Answer 1

Answer:

Step-by-step explanation:

i) 100/3

Since denominator has 3 only as its prime factor, the decimal expansion of 100/3 is non-terminating.

(ii) 7/8

Since denominator has 2 only as its prime factor, the decimal expansion of 7/8 is terminating.

(iii) 1/7

Since denominator has 7 only as its prime factor, the decimal expansion of 1/7 is non-terminating.

Answer 2

100/3

Since,

3i.e. Denominator is not the factor of 5×2 the decimal expansion is Non terminating

7/8

Since, 8 is the factor of 2.. ✔️ The decimal expansion is terminating.

1/4

Since, 4 is the factor of 2.. ✔️ The decimal expansion is terminating.