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**Relating Decimals, Fractions, and Percents**8-1 Course 3 Warm Up Problem of the Day Lesson Presentation**Relating Decimals, Fractions, and Percents**8-1 3 7 7 4 2 1 3 1 4 14 1 1 12 5 15 15 12 2 4 5 5 2 3 3 2 3 or Course 3 Warm Up Evaluate. 1. 2. 3. 4. – + 14 **Relating Decimals, Fractions, and Percents**8-1 Course 3 Problem of the Day A fast-growing flower grows to a height of 12 inches in 12 weeks by doubling its height every week. If you want your flower to be only 6 inches tall, after how many weeks should you pick it? 11 weeks**Relating Decimals, Fractions, and Percents**8-1 Course 3 Learn to relate decimals, fractions, and percents.**Relating Decimals, Fractions, and Percents**8-1 Course 3 Insert Lesson Title Here Vocabulary percent**Relating Decimals, Fractions, and Percents**8-1 3 75 30 50 10 100 100 100 1 2 3 4 Course 3 Percents are ratios that compare a number to 100. 30% 50% 75%**Relating Decimals, Fractions, and Percents**8-1 Reading Math Think of the % symbol as meaning /100. 0.75 = 75% = 75/100 Course 3**Relating Decimals, Fractions, and Percents**8-1 1 = 1 ÷ 8 = 0.125 8 Course 3 To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a percent, multiply by 100 and insert the percent symbol. 0.125 100 12.5%**Relating Decimals, Fractions, and Percents**8-1 1 10 10 = 100 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. a: 10% =**Relating Decimals, Fractions, and Percents**8-1 1 = 4 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. b: 0.25 = 25%**Relating Decimals, Fractions, and Percents**8-1 2 4 5 10 = 40 = 100 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. c: 40% =**Relating Decimals, Fractions, and Percents**8-1 3 = 5 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. d: 0.60 = 60%**Relating Decimals, Fractions, and Percents**8-1 2 66 0.666 = 2 % = 3 3 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. e:**Relating Decimals, Fractions, and Percents**8-1 1 87 7 % = 875 2 8 = 1000 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. 0.875 = f:**Relating Decimals, Fractions, and Percents**8-1 5 1 4 4 1 = 125 = 100 Course 3 Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. g: 125% =**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 a b d f 5 8 1 2 3 8 1 12 1 % = 125 2 8 = 1000 Course 3 Try This: Example 1 Find the missing ratio or percent equivalent for each letter a–g on the number line. 0.125 = a:**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 4 1 a b d f 3 8 1 2 5 8 25 = 100 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. b: 25% =**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 2 1 a b d f 3 8 1 2 5 8 3 = 8 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c: 0.375 = 37 %**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 2 1 a b d f 3 8 1 2 5 8 50 = 100 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. d: 50% =**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 2 1 a b d f 3 8 1 2 5 8 5 = 8 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. e: 0.625 = 62 %**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 3 4 1 a b d f 3 8 1 2 5 8 75 = 100 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. f: 75% =**Relating Decimals, Fractions, and Percents**8-1 e c 12 % 25% 50% 75% g 1 a b d f 3 8 1 2 5 8 100 100 Course 3 Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 100% = g: 1 =**Relating Decimals, Fractions, and Percents**8-1 3 19 7 3 19 7 = 0.38 = 0.12 15 35 38 = 0.35 50 50 20 20 25 20 100 100 100 = = = 3 25 Course 3 Additional Example 2: Finding Equivalent Fractions, Decimals, and Percents Find the equivalent fraction, decimal, or percent for each value given on the circle graph. 0.15(100) = 15% 0.12(100) = 12%**Relating Decimals, Fractions, and Percents**8-1 Course 3 Additional Example 2 Continued You can use information in each column to make three equivalent circle graphs. One shows the breakdown by fractions, one shows the breakdown by decimals, and one shows the breakdown by percents. The sum of the fractions should be 1. The sum of the decimals should be 1. The sum of the percents should be 100%.**Relating Decimals, Fractions, and Percents**8-1 1 9 1 20 5 10 45 45 25 100 100 100 1 1 = 5 4 Course 3 Try This: Example 2 Fill in the missing pieces in the chart below. 0.1(100) = 10% =0.45 =0.25 0.25(100) = 25% = 0.2 0.2(100) = 20%**Relating Decimals, Fractions, and Percents**8-1 parts pure gold = total parts 0.583 = 58.3% = 1 7 7 14 So 14-karat gold is 58.3%, or 58 % pure gold. 3 12 12 24 Course 3 Additional Example 3: Physical Science Application Gold that is 24 karat is 100% pure gold. Gold that is 14 karat is 14 parts pure gold and 10 parts another metal, such as copper, zinc, silver, or nickel. What percent of 14 karat gold is pure gold? Set up a ratio and reduce. 7 12 = Find the percent.**Relating Decimals, Fractions, and Percents**8-1 items eaten total items = 1 1 13 13 Course 3 Try This: Example 3 A baker’s dozen is 13. When a shopper purchases a dozen items at the bakery they get 12. It is said that the baker eats 1 item from every batch. What percent of the food does the baker eat? Set up a ratio and reduce. 0.077 = 1 13 = 7.7% Find the percent. The baker eats 7.7% of the items they bake.**Relating Decimals, Fractions, and Percents**8-1 5 3 8 8 1 5 14 25 Course 3 Insert Lesson Title Here Lesson Quiz Find each equivalent value. 1. as a percent 2. 20% as a fraction 3. as a decimal 4. as a percent 5. About 342,000 km2 of Greenland’s total area (2,175,000 km2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice? 37.5% 0.625 56% 16%