Related Pages
More Lessons for Grade 9
Math Worksheets
In these lessons, we learn the real number system and the different types of real numbers.
Real numbers can be classified into two main categories: Rational Numbers and Irrational Numbers. These two categories together encompass all numbers that can be represented on a number line.
The following diagram shows the real number system and how real numbers can be classified. Scroll down the page for more examples and solutions on classifying real numbers.
How to classify real numbers?
Classifying Real Numbers
This video explains the different classifications of Real Numbers and has a number of examples.
Ordering and Classifying Real Numbers
Classifying Real Numbers
Defines the different subsets of Real Numbers we regularly work with and how to classify them using a Venn Diagram.
Number Types (Math Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That’s the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It’s a natural number so it’s also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It’s just rational
What about 0? It’s whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.