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

##### 1 Answer

#### Explanation:

Here's the categories:

**I. Real** : Includes all numbers except square roots of negative numbers and fractions with

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.