This document classifies different types of real numbers. It defines real numbers as all numbers that can be graphed on a number line. Rational numbers are numbers that can be written as fractions or repeating decimals, while irrational numbers cannot. Integers are positive, negative, or zero whole numbers without fractions or decimals. Whole numbers are positive whole numbers without fractions or decimals, and natural numbers are only the positive whole numbers.

1. Classifying Real Numbers
By Mrs. Midgette

2. Real Number
 All numbers you have studied so far are REAL
 This means that we can graph them on a number line

3. Rational Numbers
 A rational number can be written as a fraction OR as a repeating decimal
 Examples of rational numbers would be −2,
1
3
, 1.2121212121, 4 and −3.75

4. Irrational Numbers
 An irrational number cannot be written as a fraction OR as a repeating decimal
 Examples of irrational numbers are 7, 1.23456, and 𝜋

5. Integers
 An integer can be positive, negative, or 0
 An integer does not include fractions or decimals
 Examples of integers are -3, 6, 0, 1, and 10.

6. Whole Numbers
 Whole numbers can only be 0 or positive
 Whole numbers can not include fractions or decimals
 Examples of whole numbers include 0, 1, 3, 10, 12, and 20039384

7. Natural (or Counting) Numbers
 Natural numbers can only be positive
 Natural numbers cannot include fractions or decimals
 Examples of natural numbers include 1, 2, 5, 6, 1000393, and 1000000000