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

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Classifying Real Numbers

  • 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