1. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview

2. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Warm Up Write each fraction in the simplest form. 1. 4 10 8 50 2. 3. 75 100 4. 12 36 5.6. 18 48 2525 3434 1313 3535 3838 4 25 9 15

3. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Preparation for NS1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. California Standards

4. Holt CA Course 1 6-2 Fractions, Decimals, and Percents A group of students plan to collect 2,000 cans of food for a food bank. After 10 days, they have 800 cans of food.

5. Holt CA Course 1 6-2 Fractions, Decimals, and Percents 0200400600 800 1,000 1,2001,4001,600 1,800 2,000 0 1515 2525 3535 4545 5555 0 0.2 0.4 0.60.8 1.0 0 20% 40% 60% 80% 100% The model shows that 800 out of 2,000 can be written as,, 0.4, or 40%. The students have reached 40% of their goal. 800 2000 2525

6. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Write 0.7 as a percent. Additional Example 1: Writing Decimals as Percents Method 1: Use pencil and paper. 0.7 = 70 100 = 70% Write the decimal as a fraction with a denominator of 100. Write the numerator with a percent sign. 7 10 = Method 2: Use mental math. 0.70 = = 70% Move the decimal point two places to the right and add a percent sign. 70.0%

7. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Write as a percent. 5858 5858 = 5 ÷ 8 = 0.625 = 62.5% Use division to write the fraction as a decimal. Write the decimal as a percent. Additional Example 2: Writing Fractions as Decimals Method 1: Use pencil and paper.

8. Holt CA Course 1 6-2 Fractions, Decimals, and Percents 27 out of 50 = Set up a ratio. Write the decimal as a percent. Additional Example 3: Data Analysis Application If 27 out of 50 people surveyed have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home? 27 50 = 0.54 = 54% 54% of the people have the newspaper delivered to their home. = 27 ÷ 50 Use division to write the fraction as a decimal.

9. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Write 0.3 as a percent. Check It Out! Example 1 Method 1: Use pencil and paper. 0.3 = 30 100 = 30% Write the decimal as a fraction with a denominator of 100. Write the numerator with a percent sign. 3 10 = Method 2: Use mental math. 0.30 = = 30% Move the decimal point two places to the right and add a percent sign. 30.0%

10. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Write as a percent. 3535 3535 = 3 ÷ 5 = 0.60 = 60% Use division to write the fraction as a decimal. Write the decimal as a percent. Check It Out! Example 2 Method 1: Use pencil and paper.

11. Holt CA Course 1 6-2 Fractions, Decimals, and Percents 3  20 5  20 Write an equivalent fraction with a denominator of 100. = Write as a percent. 3535 Check It Out! Example 2 Continued Method 2: Use mental math. 60 100 Write the numerator with a percent sign. = 60%

12. Holt CA Course 1 6-2 Fractions, Decimals, and Percents 11 out of 50 = Write the numerator with a percent sign. Check It Out! Example 3 If 11 out of 50 students surveyed have blue backpacks, what percent of the students have blue backpacks? 11 50 = 22% 22% of the students have blue backpacks. 22 100 =

13. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Check Use estimation to check that the answer is reasonable. Check It Out! Example 3 Continued Because 20% is close to 22%, the answer is reasonable. 22 100 ≈, or 20% 20 100 ≈ 1515

14. Holt CA Course 1 6-2 Fractions, Decimals, and Percents Lesson Quiz 60% 1. Write 0.65 as a percent. 2. Write as a percent. 6 10 65% 45% 3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?