1. 1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.

2. Real Numbers Rational numbers 4, 0.08, 1/5, 7/11 Numbers that can written as a fractions Irrational Numbers  Numbers that cannot be written as a fraction Together the numbers make up the real number line.

3. Rational Numbers Can be broke into class  IntegersNo fractions  WholeNumbers Just Positive numbers and zero  Natural Numbers Positive number

4. So the number 5 is an Natural number, a whole number, an integer, a rational number and a Real number same as The number – 176 would be an integer, a rational number and a Real Number The number would be a rational number and a Real Number as would

5. Properties of Real Numbers Commutative property of Addition 3 + 8 = 8 + 3 Commutative property of Multiplication Why state property of Addition, does not subtract work the same why?

6. Associative Property Associative property of Addition (3 + 2) + 8 = 3 + (2 + 8) Associative property of Multiplication

7. Identity element What is a number that you can add to any number and not change it. What is a number that you can multiply to any number and not change it?

8. Additive and Multiplicative Inverse The inverse is the number that brings you back to the Identity element. In addition it is the opposite of the number 5 + (-5) = 0 In Multiplication is the reciprocal of the number

9. Distributive Property Here is where you multiply across addition or subtract. Of course we would use Order of Operation to add 4 + 6 first. But what about this one

10. Distributive does what its name mean. When you distributive paper, everyone in the row would get a paper. It would multiply every term (little algebra expression) in the parentheses.

11. Simplify an Expression With using the properties you have something I call Adding Like Terms Adding Like Terms is where you add the coefficients of the terms with the same degree and variable.

12. Homework Page 15 -18 #19 – 25 odd, 29-39 odd,#40- 42, 43- 61 odd, 70, 78 - 81