Download 1.1: Properties of Real Numbers and Operations

[Algebra 2(Y)]
1.1: Properties of Real Numbers and Operations Objectives:  To graph and order real numbers  To identify properties of real numbers  To use properties of real numbers to simplify expressions. Classifying Real numbers A set of real numbers contains the set of rational numbers and the set of irrational numbers. A variable is a symbol, usually a letter, than represents one or more numbers. Example 1: Classifying a Variable Your school is sponsoring a charity race. Which set of numbers best describes the number of people p who participate in the race? If each participant made a donation d of $15.50 to a local charity, which subset of real numbers best describes the amount of money raised? Graphing and Ordering Real Numbers A set of real numbers can be graphed on a number line. Example 2: Graphing Numbers on the Number Line Graph the set of numbers on a number line. Then, list the numbers in order from least to greatest. 11
1.5 0.8 1. 6 7
√5 4
Properties of Real Numbers The following are field properties of real numbers. These properties govern the operations of addition and multiplication. Example 3: Identify Properties of Real Numbers Write the name of the property that is illustrated by each statement. a.) 8 5
c.) 8
5 8 3
4
4
8
3
b.)
3.008
d.)
6∙5 ∙4
3.008
6∙ 5∙4
Example 4: Use Properties of Real Numbers Simplify the following expressions. a.) 12 ∙ 24 ∙
b.) 36 ∙ 0.01
0