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

Warm Up Write each fraction in the simplest form. Course Fractions, Decimals, and Percents

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

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

Course 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?

Course Fractions, Decimals, and Percents ,000 1,2001,4001,600 1,800 2, % 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

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

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

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

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

Course Fractions, Decimals, and Percents Write as a percent = 5 ÷ 8 =.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 Remember!.625

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

Course Fractions, Decimals, and Percents Write as a percent = 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.

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

Course Fractions, Decimals, and Percents Choose the most useful method of computation. 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 3: 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? = 0.54 = 54% 54% of the people have the newspaper delivered to their home.

Course Fractions, Decimals, and Percents Choose a useful method of computation. Then solve. 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 3 If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks? = 0.20 = 20% 20% of the students have blue backpacks =

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