1. 6-2 Fractions, Decimals, and Percents Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 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. 6-2 Fractions, Decimals, and Percents Problem of the Day Use the clues to find the mystery percent. 1. The product of its digits is 24. 1212 3. The sum of its digits is a prime number. 83% 2. It is greater than.

4. 6-2 Fractions, Decimals, and Percents Prep for MA.7.A.1.2 Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease. Rev. MA.6.A.5.1 Rev. MA.6.A.5.2 Sunshine State Standards

5. 6-2 Fractions, Decimals, and Percents The students at Westview Middle School are collecting cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, they have 800 cans of food. What percent of their goal have they reached?

6. 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 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

7. 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 =

8. 6-2 Fractions, Decimals, and Percents Write 0.7 as a percent. Additional Example 1 Continued Method 2: Use mental math. 0.70 = = 70% Move the decimal point two places to the right and add a percent sign. 70%70%

9. 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 =

10. 6-2 Fractions, Decimals, and Percents Write 0.3 as a percent. Check It Out: Example 1 Continued Method 2: Use mental math. 0.30 = = 30% Move the decimal point two places to the right and add a percent sign. 30%

11. 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. To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5. 8 5.00 Remember!.625

12. 6-2 Fractions, Decimals, and Percents 5 ● 12.5 8 ● 12.5 Write an equivalent fraction with a denominator of 100. = Write as a percent. 5858 Additional Example 2 Continued Method 2: Use mental math. 62.5 100 Write the numerator with a percent sign. = 62.5%

13. 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.

14. 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%

15. 6-2 Fractions, Decimals, and Percents Order 17%, 0.25,, 0.1,, and 20% from least to greatest. Additional Example 3: Ordering Rational Numbers Step 1: Write the numbers as decimals with the same number of decimal places. 17% = 0.17 4545 3434 0.25 = 0.25 3434 = 0.75 0.1 = 0.10 4545 = 0.80 20% = 0.20

16. 6-2 Fractions, Decimals, and Percents Order 17%, 0.25,, 0.1,, and 20% from least to greatest. Additional Example 3 Continued Step 2: Graph the numbers on the number line. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 0.10 < 0.17 < 0.20 < 0.25 < 0.75 < 0.80 4545 3434 Step 3: Compare the decimals. From least to greatest, the numbers are: 0.1, 17%, 20%, 0.25,,. 3434 4545

17. 6-2 Fractions, Decimals, and Percents Order 12%, 0.20,, 0.8,, and 40% from least to greatest. Check It Out: Example 3 Step 1: Write the numbers as decimals with the same number of decimal places. 12% = 0.20 3434 1212 0.20 = 0.20 1212 = 0.50 0.8 = 0.80 3434 = 0.75 40% = 0.40

18. 6-2 Fractions, Decimals, and Percents Order 12%, 0.20,, 0.8,, and 40% from least to greatest. Check It Out: Example 3 Continued Step 2: Graph the numbers on the number line. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 0.12 < 0.20 < 0.40 < 0.50 < 0.75 < 0.80 3434 1212 Step 3: Compare the decimals. From least to greatest, the numbers are: 12%, 0.20, 40%,,, 0.8. 1212 3434

19. 6-2 Fractions, Decimals, and Percents Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. 27 out of 50 = Using pencil and paper is the best method. Think: 27 ÷ 50 divides evenly. Write the decimal as a percent. Additional Example 4: Choosing a Method of Computation If 27 out of 50 people 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.

20. 6-2 Fractions, Decimals, and Percents 10 out of 50 = Mental math or pencil and paper is the best method. Think: The denominator is a multiple of 100. Write the decimal as a percent. Check It Out: Example 4 If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks? 10 50 = 0.20 = 20% 20% of the students have blue backpacks. 20 100 = Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve.

21. 6-2 Fractions, Decimals, and Percents Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

22. 6-2 Fractions, Decimals, and Percents Lesson Quiz: Part I 60% 1. Write 0.65 as a percent. 2. Write as a percent. 65% 6 10 3. Order, 0.8, 73%, and 0.57 from least to greatest.

23. 6-2 Fractions, Decimals, and Percents Lesson Quiz: Part II Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. Calculator; 45% 4. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?

24. 6-2 Fractions, Decimals, and Percents 1. Which of the following represents 0.52 as a percent? A. 52% B. 26% C. 13% D. 4% Lesson Quiz for Student Response Systems

25. 6-2 Fractions, Decimals, and Percents 2. Which of the following represents 0.08 as a percent? A. 80% B. 40% C. 28% D. 8% Lesson Quiz for Student Response Systems

26. 6-2 Fractions, Decimals, and Percents 3. Which of the following represents as a percent? A. 7% B. 17% C. 70% D. 77% Lesson Quiz for Student Response Systems 7 10

27. 6-2 Fractions, Decimals, and Percents Lesson Quiz for Student Response Systems 2525 4. Order 0.2, 14%, 0.63, and in order from least to greatest. A.0.2, 14%,, 0.63C. 14%, 0.2,, 0.63 B.14%, 0.2, 0.63, D. 0.63,, 0.2, 14% 2525 2525 2525 2525

28. 6-2 Fractions, Decimals, and Percents 5. Choose the most useful method of computation and then solve. If 45 out of 90 students surveyed prefer Algebra to Geometry, what percent of these students prefer Algebra? A. calculator; 30% B. calculator; 50% C. mental math; 30% D. mental math; 50% Lesson Quiz for Student Response Systems