Question

which of the following relational number have a terminating decimal representation​

Answer 1

terminating rational numbers means the remainder after dividing will be 0. you can say, rational numbers which terminates are called terminating rational numbers.

whereas non-terminating rational numbers never terminates. they keep on going with a definite pattern. you can say rational numbers which never terminates are called non-terminating rational numbers.

(i) 3/5 = 0.6

➡ terminating

(ii) 2/13 = 0.153846154

➡ terminating

(iii) 40/27 = 1.48148148...

➡ non-terminating

(iv) 23/7 = 3.28571429

➡ terminating

hence, we can say (i), (ii) and (iv) are terminating.