Properties of Real Numbers Section 1-2 Properties of Real Numbers

All real numbers can be classified as rational or irrational Rational numbers can be expressed as a fraction: Or a repeating decimal. Otherwise the number is irrational

Rational Rational Numbers are subdivided into subsets Integers 0, 1, 2, 3 … Whole … -3, -2, -1, 0, 1, 2, 3 … Integers Rational Numbers are subdivided into subsets 1, 2, 3… Natural Repeating decimals Rational Ratios

Rational The Number System Real Numbers Integers 0, 1, 2, 3 … Whole … -3, -2, -1, 0, 1, 2, 3 … Integers The Number System 1, 2, 3… Natural Real Numbers Repeating decimals Rational Irrational Ratios

1.) Name the sets of numbers to which each belongs. d.)

Different kinds of numbers sometimes act differently! Lets look at some of the properties of Real Numbers

This table is on page 14 in your book Properties of Real Numbers This table is on page 14 in your book

( ) 2.) Name the property illustrated by the equation: a.) (3 + a) + 2b = 3 + (a + 2b) ( ) ( ) Associative property of (+) Grouping has changed b.) 3(x + 8) = (x + 8)3 Commutative property of (•) Order of elements is changed c.) 3(x + 8) = 3x + 24 Distributive property

2.) continued: d.) e.) 3(1) = 3 Additive Identity Multiplicative Identity

3.) What is the additive inverse of ? 4.) What is the multiplicative inverse of ?

Homework Page 16 Problems: 10-18, 32-45, 52,53 and 56