Question

without actual division find 13/80 is terminating decimal or not

Answer 1

We have to make factors of 80 but only by using 2 and 5.

so , Here we go : 80 = 2×2×2×2×5

= (2)^4 × 5

So it is a terminating decimal.

Answer 2

Answer:

it is terminating

Step-by-step explanation:

we know that for a fraction in the form of p/q to terminate ,the prime factorisation of q should be in the form of 2^m * 5^n .

And in the given fraction 13/80 ; the prime factorisation of 80 is in that form

80 = 8 * 10

    = 2^3 * 5*2

    = 2^4 *5^1

Thus, we can say that the fraction 13/80 will have an terminating decimal expansion

Also, with the same condition , we can say that if a fraction is terminating ,then its denominator is in the form of 2^m * 5^n