The Real Number System: Rational & Irrational Numbers

What are Rational Numbers?

  • In mathematics, a rational number is any number that can be expressed as a fraction, or the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Basically, numbers that CAN be written as a fraction, or terminating decimals, or predictable fractions like 1/3
  • Rational numbers can be categorized into other subgroups within the Real Number System
    • Natural Numbers: These are the positive whole numbers on the number line starting with 1.
    • Whole Numbers: These are the positive whole numbers on the number line, including zero.
    • Integers: These are the positive and negative whole numbers on the number line.

What are  Irrational Numbers?

  • Numbers that CANNOT be Written as a fraction.


Below are some Graphics I’ve created to help the students categorize real numbers.

rational numbers rational numbers 2 rational numbers 1

Real Number System Game

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