Real Number System

Homework on Approximating Square Roots

Real Number System…

• Real Numbers are made up of 5 different sets of numbers:– Natural Numbers– Whole Numbers– Integers– Rational Numbers– Irrational Numbers

Natural Numbers

Whole Numbers

Irrational Numbers

Rational Numbers

Integers

1 , 2, 3 …..

Counting Numbers

ANY number than can be rewritten as a fraction of integers

, 0 , -1 , 2, 9,

-1.010010001, π ,

ANY number than can NOT be rewritten as a fraction of integers

-3, -2, -1, 0, 1, 2, 3…..

Natural Numbers + Zero

0, 1 , 2, 3 …..

Natural Numbers + Their Opposites + Zero

What category/categories would the following numbers belong in?

-1

0-7.34

π

Integer, rational

Rational

Irrational

Whole, integer, rational

Rational

Natural, Whole, Integer, Rational

Irrational

Try to label the correct number systems on your diagram:

Hint: Which system is NOT like

any of the others?

Which system has the most limitations?

Natural, Whole, Integers, Rational, and Irrational

How many did you correctly label?

Now place the following numbers into the correct number system on the diagram: