Defining the different types of numbers.
Education: Middle School
Whole NumbersA whole number is one that is 0 or above, has no fractions or decimals, and cannot be negative. Examples include 0, 1, 2, 3, 4, 5, 10, 500.
Natural NumbersA nature number is any whole number starting from 1 and up. Examples include 1, 2, 3, 4, 5, 10, 500.
IntegersAn integer is any whole number but can be positive or negative. Examples include -500, -10, -3, -1, 0, 1, 3, 10, 500.
Rational NumbersA rational number is any number that can be written as a simple fraction. This includes all whole numbers, natural numbers, and integers. A number like 8 is a rational number because it can be written as 8⁄1. Confused? It's easier to know what isn't a rational number, which are called irrational numbers, and are explained below.
Irrational NumbersAn irrational number is one that cannot be written as a simple fraction or ratio between two numbers. Simply put, these are numbers where the decimal repeats forever. Examples include √2 (square root of 2) and ℼ (pi) which starts as 3.14159265359... and then keeps going forever. Another example would be 10⁄3 which is 10 divided by 3 and results in 3.3333333333... and repeats forever.
Real NumbersA real number is any number that can be found on the number line. This includes all of the above number types listed.
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