Question

without performing actual division say which of the following is terminating decimal .
1)7/16. 2)37/125

plzz tell step by step​

Answer 1

Answer:

ok see explanation

Step-by-step explanation:

read full explanation to get that what i am trying to say

we check whether a number is terminating or not we check its denominator

how?

i tell you...

the denominator of a terminating decimal contains 2 or 5 (always)

but the denominator of a non-terminating decimal does't contains 2 or 5

lets take an example;

1) 7/16

  we see that factors of 16 are - 2² * 2²  

hence it is a terminating decimal

because prime factors of this number  contains 2²

similarly

2) 37/125

prime factors of this number are - 5² * 5

hence it is a terminating decimal

because prime factors of this number  contains 5 and 5²

note: the denominator of a number may also contain 2 or 5 or both are only terminating other than that are non-terminating

i write this full by myself.!!!!