Course Percents, Decimals, and Fractions 7-8 Percents, Decimals, and Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Course Percents, Decimals, and Fractions Warm Up Write each percent as a fraction in simplest form %2. 78% Write each percent as a decimal %4. 7% ___ ___

Course Percents, Decimals, and Fractions Problem of the Day Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have? 12.5%

Course Percents, Decimals, and Fractions Learn to write decimals and fractions as percents.

Course Percents, Decimals, and Fractions Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.7 Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. 0.7 = 7 10 __ _______ = ___ ___ = 70% Write the numerator with a percent symbol.

Course Percents, Decimals, and Fractions Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value Write the decimal as a fraction.0.16 = __ ___ = 16% Write the numerator with a percent symbol.

Course Percents, Decimals, and Fractions Additional Example 1C: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by Multiply by %Add the percent symbol.

Course Percents, Decimals, and Fractions Additional Example 1D: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by Multiply by %Add the percent symbol.

Course Percents, Decimals, and Fractions Check It Out: Example 1A Write the decimal as a percent. Method 1: Use place value. 0.9 Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. 0.9 = 9 10 __ _______ = ___ ___ = 90% Write the numerator with a percent symbol.

Course Percents, Decimals, and Fractions Check It Out: Example 1B Write the decimal as a percent. Method 1: Use place value Write the decimal as a fraction.0.31 = ___ = 31% Write the numerator with a percent symbol

Course Percents, Decimals, and Fractions Check It Out: Example 1C Write the decimal as a percent. Method 2: Multiply by Multiply by %Add the percent symbol.

Course Percents, Decimals, and Fractions Check It Out: Example 1D Write the decimal as a percent. Method 2: Multiply by Multiply by %Add the percent symbol.

Course Percents, Decimals, and Fractions When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2. Helpful Hint

Course Percents, Decimals, and Fractions Additional Example 2A: Writing Fractions as Percents Write an equivalent fraction with 100 as the denominator ______ = ___ ___ = 36% Write the numerator with a percent symbol __ Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100.

Course Percents, Decimals, and Fractions Additional Example 2B: Writing Fractions as Percents Divide the numerator by the denominator = 15% Multiply by 100 by moving the decimal point right two places. Add the percent symbol __ –20 –100 0 Method 2: Use division to write the fraction as a decimal.

Course Percents, Decimals, and Fractions Check It Out: Example 2A Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. Write an equivalent fraction with 100 as the denominator ______ = ___ ___ = 14% Write the numerator with a percent symbol __

Course Percents, Decimals, and Fractions Check It Out: Example 2B Divide the numerator by the denominator = 16% Multiply by 100 by moving the decimal point right by two places. Add the percent symbol __ Method 2: Use division to write the fraction as a decimal.

Course Percents, Decimals, and Fractions Additional Example 3: Application One year, of people with home offices were self-employed. What percent of people with home offices were self employed? Write an equivalent fraction with a denominator of ______ = ___ ___ = 28% 7 25 __ 7 25 __ 28% of people with home offices were self-employed.

Course Percents, Decimals, and Fractions Check It Out: Example 3 One year, of people who bought new cars bought cars that were yellow. What percent of people that bought new cars bought yellow cars? Write an equivalent fraction with a denominator of ______ = ___ ___ = 6% 3 50 __ 3 50 __ 6% of people with new cars bought yellow cars.

Course Percents, Decimals, and Fractions

Course Percents, Decimals, and Fractions Lesson Quiz Write each decimal as a percent Write each fraction as a percent About of all the students at a local high school own their own car. What percent is this? 41.9% 26% 20% 56.25% 1 5 __ 9 16 __ 1 16 __ 6.25%