Question

with out actully dividing find which of the following are terminating decimals 3/25​

Answer 1

Answer:

3/25 is a terminating decimal.

Equivalent to 12/100

Step-by-step explanation:

Definition of terminating decimal : a decimal which can be expressed in a finite number of figures

Answer 2

We know that p/q is terminating if p and q are co-prime and q is of the form 2^m
5^n ; where m and n are non-negative integers.

So for 3/25:
Checking co-prime:
Since 3 and 25 have no common factors, hence 3 and 25 are co-prime.
Now,
25=5×5=5^2

∴ Denominator=5^2=1×5^2
=2^0 x 5^2

∴ Denominator is of the form 2^m5^n
, where m = 0 and n = 2.
Hence, 3/25is a terminating decimal.

Hope it becomes clear to you now