1. Rational and Irrational Numbers
TSWBAT identify types of rational numbers; recognize irrational numbers

2. Number Systems
There are two primary types of numbers
Real
Imaginary

3. Sets of Numbers Natural Numbers (counting numbers) Whole Numbers
{1, 2, 3, 4…}
Whole Numbers
Natural numbers plus zero
{0, 1, 2, 3, 4…}

4. Sets of Numbers Integers Real Numbers
Whole numbers and their opposites
(… -2, -1, 0, 1, 2 …}
Real Numbers
Any number that can be graphed on a number line

5. Sets of numbers
Often we deal with just some of the real numbers at one time. We designate which ones inside brackets.
{evens}
{-2, -1, 0, 1, 2}
Dots … indicate that the set goes on forever
{… -2, -1, 0, 1, 2 …}

6. Real Numbers Real Numbers Graph the following on your number line
The set of numbers consisting of the positive and negative numbers and zero
All rational and irrational numbers
Graph the following on your number line
½, -3. -¾, 0, 6.34, -2.95, 5, -5

7. Two Types of real numbers
Rational numbers
A number that can be expressed as the quotient of two integers (a/b) where b≠0
1/3 (fractions)
-4 (integers)
1.3 (decimals)
1.35 (repeating decimals)
√4 (perfect squares)

8. Two Types of real numbers
Irrational Numbers
A real number that cannot be expressed as the quotient of two integers
√2 (imperfect squares)
Π pi

9. Take out a piece of paper Write your heading
Categorize the following numbers. Remember, a number can fall into more than just one set of numbers 8
-11
-3.5
- √3

10. In your workbook
On a separate sheet of paper answer questions 1-18 on page 1 and 1-4 on page 3
Turn in to the bin when you finish
If you don’t finish in class finish for homework