Question

Which of the following are rational numbers?

• A. Integers
• B. Non-terminating non-repeating decimals
• C. Non-terminating repeating decimals
• D. Terminating decimals

Answer 1

Answer: (A), (C), (D)

Terminating decimals

Examples of interger: $-2,-1,0,1,2$

Non-terminating non-repeating decimals: these are not rational numbers.
For example: $\mathrm{1.1123478...},\mathrm{3.14159....}$

Non-terminating repeating decimals: these are rational numbers.
For example: $\mathrm{1.1111....},\mathrm{1.3333.....},\mathrm{1.66666.....}$

Terminating decimals: these are rational numbers.
Example: $1.2,1.3,1.6$

Those numbers which can be expressed as $\frac{p}{q},$ where $q\ne 0$, are rational numbers.