All About Percents
Mathematics, Grade 7
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• Percent means “out of 100”. It is a ratio of a number to 100. • The symbol % is added after a number to indicate that it is a percent. • Write the percent as a fraction with a denominator of 100. • Simplify, if needed. Cross multiply. • Write the decimal as a fraction. • Write the decimal as a percent by moving the decimal point two places to the right. • Write the percent as a fraction with a denominator of 100. • Convert the fraction to a decimal. • Write an equivalent fraction with a denominator of 100. • Write the fraction as a percent. Percent Decimal Fraction Percents can be written as decimals or fractions. 0.10 0.25 0.33 0.50 0.75 1.0 10% 25% 50% 75% 100% 33.3% % Divide by 100 to isolate the variable. Cross multiply. Divide by 70 to isolate the variable. Divide by 0.15 to isolate the variable. Write the percent as a decimal. Solving Problems with Percents Percents as Fractions Determining the Percent of a number Using Proportions Using Equations 35 is what percent of 70? 36 is 15% of what number? What is 57% of 80? 57% of 80 is 45.6 Percents as Decimals Decimals as Percents Fractions as Percents 1 10 1 4 1 3 1 2 3 4 4 4 20 20% 9% 60% 0.23 100 = whole part whole part 57 100 m 80 = 4,560 100 100 100m = 57 • 80 100 • m = 45.6 m = 4,560 100m = 1 5 = 9 0.09 100 = = 23 23% 100 60 100 = = 3 • 20 5 • 20 3 5 = = = 35 is 50% of 70 m 100 35 70 = m • 70 100 • 35 = 36 0.15 • m = 36 15% • m = 50 m = 36 is 15% of 240 m 240 = 3,500 70m = 70 70 70m = 3,500 0.15 0.15 36 = 0.15 • m © Copyright NewPath Learning. All Rights Reserved. 93-4706 www.newpathlearning.com All About Percents
• Percent means . It is a ratio of a number to 100. • The symbol is added after a number to indicate that it is a percent. • Write the percent as a fraction with a denominator of 100. • Simplify, if needed. • Write the decimal as a fraction. • Write the decimal as a percent by moving the decimal point two places to the right. • Write the percent as a fraction with a denominator of 100. • Convert the fraction to a decimal. • Write an equivalent fraction with a denominator of 100. • Write the fraction as a percent. Percent Decimal Fraction Percents can be written as decimals or fractions. 0. 0. 0. 0. 0. 10% 25% 50% 75% 100% 33.3% % Divide by to isolate the variable. Divide by to isolate the variable. Cross multiply. Divide by 0.15 to isolate the variable. Write the percent as a decimal. Solving Problems with Percents Percents as Fractions Determining the Percent of a number Using Proportions Using Equations 35 is what percent of 70? 36 is 15% of what number? What is 57% of 80? 57% of 80 is 45.6 Percents as Decimals Decimals as Percents Fractions as Percents 20 20% 9% 0.23 100 = whole part whole part 57 100 m 80 = 45.6 m = 9 0.09 100 = = 23 23% 100 = = • 3 5 = = = 35 is 50% of 70 m 100 35 70 = 36 15% • m = 50 m = 36 is 15% of 240 m 240 = • = Key Vocabulary Terms • decimal • decimal point • denominator • equation • equivalent fraction • fraction • percent • proportion • • = • • = • = = = = = = • © Copyright NewPath Learning. All Rights Reserved. 93-4706 www.newpathlearning.com All About Percents Cross multiply. \|xiBAHBDy01516rzu
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