1. What is a Set? A SET is a group of objects that share similar characteristics or properties Example: Clothing

2. What is a Subset? O A subset is a smaller group within a set that share a more defined set of characteristics. O Example: Shirts

3. The Real Number System Just like many things in life numbers can be classified into groups. The numbers we use in middle school math are all part of the Real Number System.

4. What is the Real Number System? O The Real Number System is the SET O There are 5 subsets of the Real Number System. O Irrational O Rational O Integers O Whole O Natural

5. So, The Real Number Set… O Includes all of the Numbers we see in 8 th grade math.

6. Then the numbers are organized into the 5 subsets!

7. NATURAL NUMBERS 1, 2, 3, 4, 5, … O “Counting numbers” O Numbers that are greater than zero.

8. WHOLE NUMBERS 0, 1, 2, 3, 4, 5, … O Natural Numbers AND Zero

9. INTEGERS …, -3, -2, -1, 0, 1, 2, 3, … O Whole Numbers and their opposites. O A.K.A. Positive and Negative Numbers.

10. RATIONAL NUMBERS O Integers O Fractions O Decimals, they either terminate (end) or repeat.

11. IRRATIONAL NUMBERS O Numbers that have non- ending and non-repeating decimals. O FYI: When taking the square root of any number that is not a perfect square the answer will be irrational.

12. REAL NUMBERS O Remember, all of these numbers are part of the set of Real Numbers!

13. HOW DOES ALL OF THIS FIT TOGETHER?

15. Now put the following numbers in the graphic organizer