Question

without actually performing the long division state whether the following rational number will have a terminating decimal expansion or a non terminating reparing decimal expansion:- 7/8
​

Answer 1

Answer:

We have,

8

17

=

2

3

×5

0

17

So, the denominator 8 of 17/8 is of the form 2

m

×5

n

, where m,n are non-negative integers.

Hence 17/8 has terminating decimal expansion. the decimal expansion of

8

17

terminates after max(3,0)=3 places of decimals.