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

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Warm Up Write each percent as a fraction in simplest form. 1. 37% 2. 78% Write each percent as a decimal. 3. 59% 4. 7% 39 50 ___ 37 100 ___ 0.59 0.07

Percents, Decimals, and Fractions Course 1 8-8 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%

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Learn to write decimals and fractions as percents.

Additional Example 1A: Writing Decimals as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1A: Writing Decimals as Percents Write each decimal as a percent. Method 1: Use place value. A. 0.7 7 10 __ 0.7 = Write the decimal as a fraction. 7 • 10 10 • 10 _______ 70 100 ___ Write an equivalent fraction with 100 as the denominator. = 70 100 ___ Write the numerator with a percent symbol. = 70%

Additional Example 1B: Writing Decimals as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1B: Writing Decimals as Percents Write each decimal as a percent. Method 1: Use place value. B. 0.16 16 100 __ 0.16 = Write the decimal as a fraction. 16 100 ___ Write the numerator with a percent symbol. = 16%

Additional Example 1C: Writing Decimals as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1C: Writing Decimals as Percents Write each decimal as a percent. Method 2: Multiply by 100. C. 0.4118 0.4118 • 100 Multiply by 100. 41.18% Add the percent symbol.

Additional Example 1D: Writing Decimals as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 1D: Writing Decimals as Percents Write each decimal as a percent. Method 2: Multiply by 100. D. 0.067 0.067 • 100 Multiply by 100. 6.7% Add the percent symbol.

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1A Write each decimal as a percent. Method 1: Use place value. A. 0.9 9 10 __ 0.9 = Write the decimal as a fraction. 9 • 10 10 • 10 _______ 90 100 ___ Write an equivalent fraction with 100 as the denominator. = 90 100 ___ Write the numerator with a percent symbol. = 90%

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1B Write each decimal as a percent. Method 1: Use place value. B. 0.31 31 100 0.31 = Write the decimal as a fraction. 31 100 ___ Write the numerator with a percent symbol. = 31%

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1C Write each decimal as a percent. Method 2: Multiply by 100. C. 0.1225 0.1225 • 100 Multiply by 100. 12.25% Add the percent symbol.

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 1D Write each decimal as a percent. Method 2: Multiply by 100. D. 0.023 0.023 • 100 Multiply by 100. 2.3% Add the percent symbol.

Percents, Decimals, and Fractions Course 1 8-8 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

Additional Example 2A: Writing Fractions as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 2A: Writing Fractions as Percents Write each fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. A. 9 25 __ 9 • 4 25 • 4 ______ 36 100 ___ Write an equivalent fraction with 100 as the denominator. = 36 100 ___ Write the numerator with a percent symbol. = 36%

Additional Example 2B: Writing Fractions as Percents Course 1 8-8 Percents, Decimals, and Fractions Additional Example 2B: Writing Fractions as Percents Method 2: Use division to write the fraction as a decimal. B. 3 20 __ 100 20 3.00 0.15 –20 –100 Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 0.15 = 15%

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 2A Write each fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. A. 7 50 __ 7 • 2 50 • 2 ______ 14 100 ___ Write an equivalent fraction with 100 as the denominator. = 14 100 ___ Write the numerator with a percent symbol. = 14%

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: Example 2B Method 2: Use division to write the fraction as a decimal. B. 8 50 __ 50 8.00 0.16 Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right by two places. Add the percent symbol. 0.16 = 16%

Additional Example 3: Application Course 1 8-8 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? 7 25 __ 7 25 __ 7 • 4 25 • 4 ______ 28 100 ___ Write an equivalent fraction with a denominator of 100. = 28 100 ___ = 28% 28% of people with home offices were self-employed.

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions Try This: 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? 3 50 __ 3 50 __ 3 • 2 50 • 2 ______ 6 100 ___ Write an equivalent fraction with a denominator of 100. = 6 100 ___ = 6% 6% of people with new cars bought yellow cars.

Percents, Decimals, and Fractions Course 1 8-8 Percents, Decimals, and Fractions

Percents, Decimals, and Fractions Insert Lesson Title Here Course 1 8-8 Percents, Decimals, and Fractions Insert Lesson Title Here Lesson Quiz Write each decimal as a percent. 1. 0.26 2. 0.419 Write each fraction as a percent. 3. 4. 5. About of all the students at a local high school own their own car. What percent is this? 26% 41.9% 1 5 __ 9 16 __ 20% 56.25% 1 16 __ 6.25%