Question

Q) Without actually performing long division check whether 76/40 , 64/455 , 17/8 are terminating or non -terminating decimal expensions.​

Answer 1

Answer:

1) terminating,2) non -terminating 3) terminating

Step-by-step explanation:

76/40 q= 40

lcm of 40 = 2^3 ×5^1

here q is in the form 2^m × 5^n

hence it is terminating.

64/455 q = 455

lcm of 455 = 5×7×13

which is not in the form q = 2^m×5^n

hence it is non terminating

17/8 = q = 8

lcm of 8 = 2^3×5^0(any power 0 = 1)

hence it is terminating