1. Properties of Real Numbers
Lesson 1-1
Properties of Real Numbers

2. Natural numbers – the numbers used for counting.
Whole numbers – The natural numbers and zero.
Integers – The natural numbers (also called positive integers) AND their opposites
(also called the negative integers), and zero

3. Rational Numbers
Numbers that can be written as quotients of integers. (fractions)
(Denominator cannot be zero)
Rational numbers can be written as terminating decimals.
Other rational numbers can be written as repeating decimals.

4. Irrational Numbers
Numbers that cannot be written as quotients of integers.
A decimal that neither terminates or repeats.
If a positive rational number is not a perfect square such as 25 or 4/9, then its square root is irrational.

5. Which set of numbers best describes the values for each variable.
Example 1
Which set of numbers best describes the values for each variable.
The cost C in dollars of admission for n people.

7. The opposite or additive inverse of any number a is –a.
The sum of opposites is
The reciprocal or multiplicative inverse of any nonzero number a is 1/a
The product of reciprocals is

8. Find the opposite and reciprocal of each number.3/

9. What symbols do you use to compare numbers.
Compare ¼ and .3

10. Absolute Value – distance from zero
Note* - Absolute Value is always positive

11. Property Addition Multiplication Closure a + b is a real #
Communicative
a + b = b + a
ab = ba
Associative
(a + b) + c = a + (b + c)
(ab)c = a(bc)
Identity
a + 0 = a, 0 + a = a
a x 1 = a, 1 x a = a
Inverse
a + (-a) = 0
a x 1/a = 1
Distributive
a(b + c) = ab + ac

12. Assignment 2- 54 even , 66, 82, 91-95 on pgs 8 - 10