Question

2] Which of the following rational number has non terminating repeating decimal expansion.
A] B] C] D]
13÷3125
17÷8
19÷22 73
15÷1600​

Answer 1

Answer:

IF THE DENOMINATOR OF ANY RATIONAL IS NOT OF THE FORM 2^n and 5^n then the number has non terminating repeating decimal expansion.

IN OPTION A

3125 CAN BE EXPRESSED AS 5^4 and 2^0 so it has a terminating expansion

IN OPTION 2

8 CAN BE EXPRESSED AS 2^3 SO IT ALSO HQS TERMINATING EXPANSION

IN OPTION 3

2273 CANNOT BE EXPRESSED AS 2^n AND 5^n so it has non terminating repeating decimal expansion

HENCE OPTION( C ) IS THE CORRECT ANSWER