What is the set of numbers to which #8/3# belong?
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
#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
ii. Natural Numbers : a real rational whole integer that is not
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.