Question

Non-terminating decimal numbers can be

• A. both rational and irrational numbers
• B. only rational numbers
• C. only irrational numbers
• D. None of the above

Answer 1

The correct option is A both rational and irrational numbers

Non terminating decimals are divided in two parts

1. Non terminating and non repeating decimals.
2. Non terminating repeating decimals.

Non terminating non repeating decimals cannot be expressed as $\frac{p}{q}$ which are known as irrational numbers.

And non terminating, repeating decimals can be expressed as $\frac{p}{q}$ form, so it is a rational number also.