Question

without actually preforming the long division state wheather 31/6 will have terminating or non-terminating repeating decimal expension​

Answer 1

Step-by-step explanation:

To find out whether it is non terminating decimal without actually dividing, we should check whether the denominator is a Power of 2 or 5 or both. If the condition is satisfied, it it said to be terminating, if not, it is said to be non terminating.

We know that 6 neither comes from power of 2 or 5. Hence we can say it is non terminating.

Hope it helps:)

Answer 2

Step-by-step explanation:

p/q is terminating if

(i)p and q are co prime and

(ii)q is of form 2n 5m

where n and m are non negative integer