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### Real Number System

posted Sep 16, 2012, 7:27 AM by Tim Isbell   [ updated Dec 15, 2015, 2:28 PM ]
At various points along the math journey, every student learns the subcategories of the Real Number System. Here's a picture to help you understand it.

Algebra 2 students learn that there are also Imaginary Numbers. These are the way mathematicians represent the square roots of negative numbers.

#### There are some tricks to look out for!

For example, consider 9).

• Because it is interchangeable with the number 3, it is considered a Natural number, Whole number, and an Integer.
• Also, because it can be written as 3/1, it is also a Rational number.
• However, it is not an Irrational number (because it is rational)
So if your teacher gives you a number and asks what kind of number it is, answer the question after determining what equivalent ways the original number can be written.

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