Question

1. Decimal representation of a rational number
cannot be a​

Answer 1

Answer:

Hence from all this we can conclude that decimal representation of a rational number can be terminating, non-terminating and non-terminating and repeating. But a decimal representation cannot be non-terminating, non-repeating. Option D is the correct answer

Answer 2

$\huge\rm\red{ANSWER :-}$

Decimal representation of a rational number cannot be:

NON-TERMINATING AND NON - REPEATING.

Step-by-step explanation:

For all rational numbers of the form p/q (q is not equal to 0), on division of p by q, two things may happen:

1) The remainder becomes zero and the decimal expansion terminates or ends after a finite number of steps.

For example, 1/4=0.25

2) The remainder never becomes zero and the remainders repeat after a certain stage forcing the decimal expansion to go on for ever. In such a case, we have a repeating block of digits in the quotient.

For example, 1/6. =0.16666...

From above, we can see that the decimal expansion of a rational number is either terminating or non-terminating repeating (recurring). Hence, we can safely conclude that the decimal expansion of a rational number should be terminating or non-terminating repeating. Hence, it can't be non-terminating non-repeating.