Bell Work Change each fraction to a decimal. ½ 4/5 2/3 1/8

Learn to model percents and to write percents as equivalent fractions and decimals. Learn to write decimals and fractions as percents.

Vocabulary Percent – A ratio of a number to a hundred. The word percent means “per hundred.” The symbol % means “percent.”

Modeling Percents Write the percent modeled by the grid. shaded total _______ 66 100 ___ = 66%

Modeling Percents Write the percent modeled by the grid. A. B. shaded total _______ 44 100 ___ shaded total _______ 75 100 ___ = 44% = 75%

Writing Percents as Fractions Write 28% as a fraction in simplest form. 28% = 28 100 Write the percent as a fraction with a denominator of 100. 7 25 = Simplify. 7 25 So 28% can be written as .

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 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% 80% 40% 60% 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.

Writing Decimals as Percents Write 0.7 as a percent. 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%

Writing Decimals as Percents Write 0.93 as a percent. Move the decimal point two places to the right and add a percent sign. 0.93 = 93% = 93%

Writing Fractions as Decimals and Percents 5 8 Write as a percent. 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

Ordering Rational Numbers 3 4 4 5 Order 17%, 0.25, , 0.1, , and 20% from least to greatest. Step 1: Write the numbers as decimals with the same number of decimal places. 3 4 = 0.75 17% = 0.17 0.25 = 0.25 4 5 = 0.80 0.1 = 0.10 20% = 0.20

Ordering Rational Numbers 3 4 4 5 Order 17%, 0.25, , 0.1, , and 20% from least to greatest. Step 2: Compare the decimals. 17% = 0.17 Step 3: Re-order numbers using original format. 0.25 = 0.25 3 4 = 0.75 3 4 , 4 5 0.1, 17%, 20%, .25, 0.1 = 0.10 4 5 = 0.80 20% = 0.20

Real-World Application Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. 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 27 out of 50 = Think: 27 ÷ 50 divides evenly. 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.