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Extra info for Algebra I (Cliffs Quick Review)

Example text

Change the decimal to a percent. 05 = 5% Changing percents to fractions To change percents to fractions, 1. Drop the percent sign. 2. Write over one hundred. 3. Reduce if necessary. 29 30 CliffsQuickReview Algebra I Example 25: Change to fractions. (a) 60% = 60⁄100 = 3⁄5 (b) 230% = 230⁄100 = 23⁄10 = 23⁄10 Finding the percent of a number To determine the percent of a number, change the percent to a fraction or decimal (whichever is easier for you) and multiply. Remember, the word of means multiply.

X|x > 3, x is a whole number} {all students in the class with blue eyes} Roster is a method of naming a set by listing its members. {4,5,6, . . } {Fred, Tom, Bob} Venn diagrams (and Euler circles) are ways of pictorially describing sets, as shown in Figure 3-1. Figure 3-1 A Venn diagram. A C B Types of sets Finite sets are countable; they stop—{1, 2, 3} = {3, 2, 1}. Infinite sets are uncountable; they continue forever—{1, 2, 3 . . }. Chapter 3: Terminology, Sets, and Expressions 37 Comparing sets Equal sets are those that have the exact same members—{1, 2, 3} = {3, 2, 1}.

Insert a percent sign. 85 = 185% Changing percents to decimals To change percents to decimals, 1. Eliminate the percent sign. 2. Move the decimal point two places to the left (sometimes, adding zeros will be necessary). 05 Changing fractions to percents To change fractions to percents, 1. Change to a decimal. 2. Change the decimal to a percent. 05 = 5% Changing percents to fractions To change percents to fractions, 1. Drop the percent sign. 2. Write over one hundred. 3. Reduce if necessary. 29 30 CliffsQuickReview Algebra I Example 25: Change to fractions.