Question

Without actual division state whether the following rational numbers will have a terminating decimal expansion os non- terminating repeating decimal expansion.
(a)17/8 (b)95/50 (c)129/2^2*5^7*7^5​

Answer 1

Answer:(a) terminating decimal

(b) terminating decimal

(c) non terminating repeating decimal

Step-by-step explanation:p/q is terminating if

(1) p and q are co primes

(2) q is of the form 2^n×5^m, where n and m are non negative integers.

(a) q is of the form 2^n

Therefore, terminating

(b) q is of the form 2×5^m

Therefore, terminating

(c) q is of the form 2^n×5^m×7^p

Therefore, non terminal repeating decimal