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