What is a Set?
A SET is a group of objects that share similar characteristics or
properties
Example: Clothing
What is a Subset?
OA subset is a smaller group within a set that share a more defined set of characteristics.OExample: Shirts
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.
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 IrrationalO RationalO IntegersO WholeO Natural
So, The Real Number Set…
O Includes all of the Numbers we see in 8th grade math.
Then the numbers are organized into
the 5 subsets!
NATURAL NUMBERS
1, 2, 3, 4, 5, …
O“Counting numbers”ONumbers that are greater than zero.
WHOLE NUMBERS
0, 1, 2, 3, 4, 5, …
ONatural Numbers AND Zero
INTEGERS
…, -3, -2, -1, 0, 1, 2, 3, …
OWhole Numbers and their opposites.
OA.K.A. Positive and Negative Numbers.
RATIONAL NUMBERS
OIntegersOFractionsODecimals, they either terminate (end) or repeat.
IRRATIONAL NUMBERS
ONumbers that have non-ending and non-repeating decimals.
OFYI: When taking the square root of any number that is not a perfect square the answer will be irrational.
REAL NUMBERSO Remember, all of these numbers are
part of the set of Real Numbers!
HOW DOES ALL OF THIS FIT TOGETHER?
Now put the following numbers in the graphic organizer