Question

Without actually performing the long division weather
decimal or non-terminating repeating decimal expansion
3125​

Answer 1

Answer:

bro you have to factorise if you get 2 to he power m and 5 to the power m then it is terminatiing

Answer 2

Answer:

13/3125

p/q is terminating if

p and q are co - prime

and

q is of form 2n5m

when n and m are non - negative integers

checking for co - prime

13 and 3125 have no common factor

so 13 and 3125 are co - prime

for Denominator

5/3125

5/625

5/125

5/25

5/5

1

hence 3125 = 5×5×5×5×5

Denominator

= 55

1 × 55

2° × 55

so denominator is the. form of 2n5m

where n = 0 and m = 5

Thus 13/3125 is a terminating decimal