1. How do you compare and use the properties of real numbers?
Section 1-3 & 1-4

2. Vocabulary
Square root
Perfect Square-
Radical symbol
Radicand
The square of an integer.

4. Vocabulary Inequality- Examples: <, >, ≤, or ≥
A mathematical sentence that compares the values of 2 expressions using an inequality symbol.
Deductive Reasoning-
Process of reasoning logically from given facts to a conclusion.
An example showing that a statement is false
Counterexample-

5. Examples

6. Examples To which subsets of the real numbers does each number belong?15

7. Examples
Simplify each expression.
5 ( 3n)
(4 + 4b) -2

8. Properties of Real Numbers
Commutative Property
Addition: a + b = b + a
Multiplication: ab = ba
Associative Property
Addition: (a + b) + c = a + (b + c)
Multiplication: (ab) c = a (bc)

9. Properties of Real Numbers
Identity Property
Addition: a + 0 = a
Multiplication: a * 1 = a
Zero Property of Multiplication: a * 0 = 0
Multiplication Property of -1: -1 * a = -a

10. Example
Is the statement true or false? If false, give a counterexample.
For all real numbers a and b , a · b = b + a.
For all real numbers a, b, and c, (a + b) + c = b + (a+c)