Rational and Irrational Numbers

A rational number is a number that can be written as a fraction. This includes:

Whole numbers: 2, 4, 100.  It can also be negative integers such as -2, -4, and -100

Fractions: 1/2, 3/4

Decimals that end: 2.5, -0.5

Decimals that go on with a repeating pattern: 0.3333...., 1.41414141

Square Roots that we know the exact value.  $\sqrt{49}$  ,  $\sqrt{25}$  

An irrational number is a number that CAN NOT be written as a fraction. This includes:

Decimals that go on without a repeating pattern: 3.14807538921.

Square roots that we do not know the exact value for:  $\sqrt{3}$  ,  $\sqrt{5}$  

Natural, Whole, Integer

A natural number is a counting number. It starts from 1 (1,2,3,4,5.........)

A whole number: A counting number or zero. (0, 1, 2, 3, 4......)

An integer is a whole number or its negative. ( ...... -3, -2, -1, 0, 1, 2, 3.....)

A rational number can be more than one. For example the number 3 would be a natural number, whole number, and an integer. Meanwhile the number -3 would only be an integer.