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

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

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.

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.

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.

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

Find the opposite and reciprocal of each number. 3/5 -3.2

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

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

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

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