Question

without actual
division show that 17\625 is terminating decimal​

Answer 1

Answer:

Rational number 17/625 is a terminating decimal

As the denominator has 5⁴ so the term is terminating.

Step-by-step explanation:

Hope this helps ≧ω≦

Answer 2

we know that a rational number will have  terminating decimal expansion only if the prime factorization of q( denominator of a rational number P/q) is in the form  of  2^n5^m (where n and m are whole numbers )

so P.F of 625 = 5x5x5x5

Since the prime factorization has only 5s in its prime factorisation, we can say that 17/625 will have a terminating decimal expansion.