Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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% 37 100 ___ 39 50 ___ 0.59 0.07

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%

Sunshine State Standards MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. Also MA.6.A.5.2

Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 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 Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 0.4118 • 100 Multiply by 100. 41.18% Add the percent symbol.

Check It Out: Example 1A Write the decimal as a percent. 0.023 2.3%

Check It Out: Example 1B Write the decimal as a percent. 0.018 1.8%

Check It Out: Example 1C Write the decimal as a percent. 0.957 95.7%

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 Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. 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 Method 2: Use division to write the fraction as a decimal. 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%

Check It Out: Example 2A Write the fraction as a percent. 7 50 __ 7 50 __ 7 • 2 50 • 2 ______ = 14 100 ___ = = 14%

Check It Out: Example 2B Write the fraction as a percent. 11 50 __ 11 50 __ 11 • 2 50 • 2 ______ = 22 100 ___ = = 22%

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% Write the numerator with a percent symbol. 28% of people with home offices were self-employed.

Check It Out: Example 3A During the soccer season, of Evan’s teammates scored a goal. What percent of Evan’s teammates scored a goal? 9 20 __ 9 20 __ 9 • 5 20 • 5 ______ = 45 100 ___ = = 45%

Check It Out: Example 3B Jo spends of her time at the gym doing stretches to warm up. What percent of Jo’s time at the gym does she spend stretching? 1 5 __ 1 5 __ 1 • 20 5 • 20 ______ = 20 100 ___ = = 20%

Check It Out: Example 3C George wants of the calories he eats to come from protein. What percent of George’s calories should come from protein? 2 5 __ 2 5 __ 2 • 20 5 • 20 ______ = 40 100 ___ = = 40%

The number line below shows common equivalent fractions, decimals, and percents.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

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%

Lesson Quiz for Student Response Systems 1. Which of the following represents the decimal 0.37 as a percent? A. 0.37% B. 37% C. 3.7% D. 370%

Lesson Quiz for Student Response Systems 2. Which of the following represents the decimal 0.143 as a percent? A. 143% B. 1.43% C. 14.3% D. 0.143%

Lesson Quiz for Student Response Systems 3. Which of the following represents the fraction as a percent? A. 0.24% B. 24% C. 2.4% D. 240%

Lesson Quiz for Student Response Systems 4. Which of the following represents the fraction as a percent? A. 78.75% B. 68.75% C. 70% D. 60%

Lesson Quiz for Student Response Systems 5. Mike correctly answered of the questions on his math test. What percent of the questions were answered correctly? A. 4.5% B. 80% C. 45% D. 90%