#### Types of Numbers

Natural numbers

All positive integers (not including zero)
For Example 1, 5 ,9, 13, 18, 93, 14/7

Whole numbers

All positive integers (including zero)
For Example 0, 31, 76, 43, 28

Integers

Positive and Negative Whole Numbers and 0. Examples: .... -3, -2, -1, 0, 1, 2, 3.....(Does not include fractions or decimals)
For Example 3, 94, 309, -67, -905, -9/3

Rational numbers

numbers that can be written as fractions, including terminating and repeating decimals, and integers
For Example 2/3, 78, .333333, 4/2, square root of 81

Irational numbers

Has decimal form that neither terminates nor repeats, and it cannot be written as the ratio of two integers
For Example ?, 3.93746523, -98.3434, 76.984323

Real Numbers

all rational and irrational numbers
For Example 3, -98, 17/4, 67.4

All

rational numbers are real numbers

Some

real numbers are irrational numbers

No

irrational numbers are integers

All

natural numbers are integers

Some

real numbers are whole numbers

Some

rational numbers are integers

All

integers are rational numbers

All

rational and irrational numbers are real numbers

All

real numbers are irrational or rational

Some

whole numbers are natural numbers

No

natural numbers are irrational numbers

Some

rational numbers are negative integers