Question

The decimal $0.101001000100001......$ is a non-terminating and non-repeating decimal.

• A. True
• B. False

Answer 1

The correct option is A True

Non-terminating and non-repeating decimal:

A number that has an infinite number of non-repetitive digits after the decimal point is known as non-terminating non-recurring decimal.

Explanation:

The given number is $0.101001000100001......$

Here, the number is continuing endlessly and has non-repetitive digits after the decimal point.

Hence, $0.101001000100001......$ is a non-terminating and non-repeating decimal.

Hence, the given statement is true.