MathIsimple

Real Numbers & Irrational Numbers

Understand the real number system, learn about rational and irrational numbers, and explore their properties.

8th Grade
Number System
~45 min
🎮 Interactive Activity: Number Classifier

Classify numbers as rational or irrational!

√2
🎮 Interactive Activity: Square Root Explorer

Explore square roots and identify perfect squares!

16
1. The Real Number System

📚 Real Numbers

Real numbers include all numbers that can be represented on a number line. They consist of two main types:

Rational Numbers

Can be written as a fraction a/b where a and b are integers (b ≠ 0)
Examples: 3, -5, 0.5, 1/3, 0.333...

Irrational Numbers

Cannot be written as a fraction of two integers
Examples: √2, √3, π, e

2. Rational Numbers
3. Irrational Numbers
4. Square Roots and Perfect Squares
5. Decimal Representation
6. Real Numbers on the Number Line
7. Worked Examples
8. Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Which number is irrational?
2
What is the definition of a rational number?
3
Which of the following is a rational number?
4
What is √16?
5
Which number is NOT irrational?
6
What type of number is 0.333... (repeating)?
7
Which set contains all real numbers?
8
What is the approximate value of √2?
9
Is -5 a rational number?
10
Which is an example of an irrational number?