# What is the set of numbers to which 8/3 belong?

Mar 3, 2018

$\frac{8}{3}$ is a real, rational number

#### Explanation:

Here's the categories:

I. Real : Includes all numbers except square roots of negative numbers and fractions with $0$ in their denominator

A. Rational : a real number expressible as a ratio of
whole numbers, or as a decimal have a continuous repeating
trend, like $0.3333333$, which is the case in this situation

a. Integers : a real rational number that is not a fraction and can be negative

i. Whole : a real rational integer that is not negative but can be $0$

ii. Natural Numbers : a real rational whole integer that is not $0$

B. Irrational: have irregular decimal expansions

II. Imaginary: usually caused by the square root of a negative number

Here's a Venn diagram showing relationship between the different types of real numbers.