1. 1-1 Properties of Real Numbers
Tools of Algebra
1-1 Properties of Real Numbers
Obj. 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.

2. Key Vocabulary Opposite Additive Inverse Reciprocal
Multiplicative Inverse
Absolute value of a real number

3. Essential Question
What is a real number?

4. Natural Numbers
The numbers used for counting
{1, 2, 3, 4, …}

5. Whole Numbers
The natural numbers and zero
{0, 1, 2, 3, …}

6. Integers The natural numbers, their opposites, and zero
{…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}

7. Rational Numbers
All the numbers that can be written as quotients of integers.
Some can be written as terminating decimals
All others are repeating decimals
Examples:

8. Irrational Numbers Cannot be written as quotients of integers
Decimals neither terminate nor repeat
If a positive rational number is NOT a perfect square, then its square root is irrational
Examples:

9. Real Numbers and subsets

10. Properties of Real Numbers
Let a, b, and c represent real numbers
Property
Addition
Multiplication
Closure
is a real number
Commutative
Associative
Identity
Inverse
Distributive

11. Assignment
P. 9 #62-86 Even

12. Homework
Finish classwork
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