Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 1 Chapter 3 Percents Section 1 Writing Decimals and Fractions as Percents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 2 Objectives 1.Write a decimal as a percent. 2.Write a fraction as a percent. 3.Write a percent as a decimal. 4.Write a percent as a fraction. 5.Write a fractional percent as a decimal.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 3 Percents Similar to fractions and decimals, percents represent parts of a whole. Percents (hundredths) mean parts out of 100. Written using a percent sign (%). For example 1% means 1 of 100 equal parts. The number 12% is read “twelve percent.”

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 4 Percents 12% = 12 out of 100 equal parts.12 Decimal Fraction 25% = 25 out of 100 equal parts.25 50% = 50 out of 100 equal parts.50

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 5 Percents 100% = 100 out of 100 equal parts 1.00 Decimal Fraction 150% = 150 out of 100 equal parts 1.50

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 6 Converting a decimal number to a percent Step 1 Move the decimal point two digits to the right attaching trailing zeros as needed. You are effectively multiplying by 100. Step 2 Attach a percent sign..75 = 75%

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 7 Example Change the following decimals to percents. (a).35 (b).42 (c).58 = 35% = 42% = 58%

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 8 Example Change the following decimals to percents. (a).8 (b) 2.6 (c).1 (d) 4 = 80% = 260% = 10% = 400%

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 9 Example Change the following decimals to percents. (a).625 (b).0057 (c) 1.25 = 62.5% =.57% = 125%

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 10 Write a Fraction as a Percent Write the fraction as a decimal. Move the decimal point two places to the right. Add a percent sign (%).

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 11 Example A marketing manager is given the following data in fraction form and must change the data to percents.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 12 Example First write each fraction as a decimal, and then write the decimal as a percent.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 13 Write a Fraction as a Percent (Second Method) Multiply the fraction by 100%.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 14 Write a Percent as a Decimal Step 1 Drop the percent sign. Step 2 Move the decimal point two places to the left. You are effectively dividing by % =.25

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 15 Example To calculate some insurance claims, an insurance agent must change the following percents to decimals. (a) 35% (b) 50% (c) 325% =.35 =.5 = 3.25 =.375

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 16 Write a Percent as a Fraction Change the percent to a decimal. Write the decimal as a fraction in lowest terms.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 17 Example Even though smoking is believed to account for 1 of every 5 deaths in the United States, more than 45 million Americans smoke. The bar chart shows the percent of people in each age group that smoke. Convert each percent to a fraction and reduce to lowest terms.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 18 Example 6

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 19 Example Write each percent as a decimal and then as a fraction in lowest terms.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 20 Example Write each percent as a decimal and then as a fraction in lowest terms.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 21 Write a Fractional Percent as a Decimal Change the fraction to a decimal followed by a percent sign. Move the decimal point two places to the left. Drop the percent sign.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 22 Example The following percents appear in a newspaper article. Write each fractional percent as a decimal.

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 23 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 24 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 25 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 26 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 27 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 28 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 29 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 30 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 31 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 32 Fraction, Decimal, Percent Equivalents

Copyright © 2015, 2011, and 2007 Pearson Education, Inc. 33 Fraction, Decimal, Percent Equivalents