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

Fractions, Decimals, and Percents Course 2 6-2 Fractions, Decimals, and Percents Warm Up Write each fraction in the simplest form. 4 10 25 8 50 4 25 1. 2. 75 100 34 12 36 13 3. 4. 9 15 35 18 48 38 5. 6.

Fractions, Decimals, and Percents Course 2 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. 1 2 2. It is greater than . 3. The sum of its digits is a prime number. 83%

Fractions, Decimals, and Percents Course 2 6-2 Fractions, Decimals, and Percents Learn to write decimals and fractions as percents.

Fractions, Decimals, and Percents Course 2 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?

Fractions, Decimals, and Percents Course 2 6-2 Fractions, Decimals, and Percents 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 1 5 2 5 3 5 4 5 5 0.2 0.4 0.6 0.8 1.0 20% 40% 60% 80% 100% 800 2000 2 5 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.

Additional Example 1: Writing Decimals as Percents Course 2 6-2 Fractions, Decimals, and Percents Additional Example 1: Writing Decimals as Percents Write 0.7 as a percent. Method 1: Use pencil and paper. 7 10 70 100 Write the decimal as a fraction with a denominator of 100. 0.7 = = Write the numerator with a percent sign. = 70%

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

Fractions, Decimals, and Percents Course 2 6-2 Fractions, Decimals, and Percents Check It Out: Example 1 Write 0.3 as a percent. Method 1: Use pencil and paper. 3 10 30 100 Write the decimal as a fraction with a denominator of 100. 0.3 = = Write the numerator with a percent sign. = 30%

Check It Out: Example 1 Continued Course 2 6-2 Fractions, Decimals, and Percents Check It Out: Example 1 Continued Write 0.9 as a percent. Method 2: Use mental math. Move the decimal point two places to the right and add a percent sign. 0.90 = 90% = 90%

Additional Example 2: Writing Fractions as Decimals Course 2 6-2 Fractions, Decimals, and Percents Additional Example 2: Writing Fractions as Decimals 5 8 Write as a percent. Method 1: Use pencil and paper. 5 8 = 5 ÷ 8 Use division to write the fraction as a decimal. = .625 = 62.5% Write the decimal as a percent. 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

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

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

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

Additional Example 3: Choosing a Method of Computation Course 2 6-2 Fractions, Decimals, and Percents Additional Example 3: Choosing a Method of Computation Choose the most useful method of computation. Then solve. 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 Think: 27 ÷ 50 divides evenly. 27 out of 50 = Using pencil and paper is the best method. = 0.54 = 54% Write the decimal as a percent. 54% of the people have the newspaper delivered to their home.

Fractions, Decimals, and Percents Course 2 6-2 Fractions, Decimals, and Percents Check It Out: Example 3 Choose a useful method of computation. Then solve. If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks? 10 50 20 100 = Think: The denominator is a multiple of 100. 10 out of 50 = Mental math or pencil and paper is the best method. = 0.20 = 20% Write the decimal as a percent. 20% of the students have blue backpacks.

Fractions, Decimals, and Percents Insert Lesson Title Here Course 2 6-2 Fractions, Decimals, and Percents Insert Lesson Title Here Lesson Quiz 1. Write 0.65 as a percent. 65% 6 10 2. Write as a percent. 60% Choose the most useful method of computation. Then solve. 3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat? Calculator; 45%