# Can you give me examples of real numbers?

##### 1 Answer

Until tenth grade, the **set of real numbers** is going to be the largest known to students. Commonly denoted

Note that there is no standard notation for some of these. Sometimes, the natural numbers include zero and the whole numbers are not needed. As such, there is no notation for the whole numbers. The one I gave,

Rational numbers are a **ratio** of two integers. Numbers which can not be expressed as a ratio of two integers are called irrational, the set of which is denoted

All natural and whole numbers are integers:

All integers are rational numbers:

The rational and irrational numbers, together, form the real numbers:

As such,

Another thing that defines rational numbers; they either have a terminating decimal or a repeating, non-terminating one:

The overlined sequence is repeating.

Irrational numbers are, simply, numbers which are not rational and dont have a terminating/repeating decimal. Famous example include: