Percent - XYZ Custom Plus

Chapter 5 SummaryThe Meaning of Percent [5.1]Percent means “per hundred.” It is a way of comparing numbers to the number100.EXAMPLEs1. 42% means 42 per hundred or​_42100 ​.Changing Percents to Decimals [5.1]To change a percent to a decimal, drop the percent symbol (%), and move thedecimal point two places to the left.2. 75% = 0.75Changing Decimals to Percents [5.1]To change a decimal to a percent, move the decimal point two places to the right,and use the % symbol.3. 0.25 = 25%Changing Percents to Fractions [5.1]To change a percent to a fraction, drop the % symbol, and use a denominator of100. Reduce the resulting fraction to lowest terms if necessary.4. 6% = ​ 6 _100 ​= ​3 _50 ​Changing Fractions to Percents [5.1]To change a fraction to a percent, either write the fraction as a decimal and thenchange the decimal to a percent, or write the fraction as an equivalent fractionwith denominator 100, drop the 100, and use the % symbol.5. ​_3 ​= 0.75 = 75%4or​_9 ​= ​90_​= 90%10 100Basic Word Problems Involving Percents [5.2]There are three basic types of word problems:Type A: What number is 14% of 68?Type B: What percent of 75 is 25?Type C: 25 is 40% of what number?To solve them, we write is as =, of as ⋅ (multiply), and what number or what percentas n. We then solve the resulting equation to find the answer to the originalquestion.6. Translating to equations, wehave:Type A: n = 0.14(68)Type B: 75n = 25Type C: 25 = 0.40nChapter 5Summary353