Relating Decimals Fractions 8 1 and Percents Warm

Relating Decimals, Fractions, 8 -1 and Percents Warm Up Problem of the Day Lesson Presentation Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Warm Up Evaluate. 1. 2 + 3 15 15 3. 4 5 Pre-Algebra 1 3 2. 7 – 3 12 12 1 7 14 or 2 4 4. 1 3 2 5 5 2 4 1 3 14

Relating Decimals, Fractions, 8 -1 and Percents 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 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Learn to relate decimals, fractions, and percents. Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Vocabulary percent Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents are ratios that compare a number to 100. Ratio Equivalent Ratio with Denominator of 100 3 10 1 2 3 4 30 100 50 100 75 100 Pre-Algebra Percent 30% 50% 75%

Relating Decimals, Fractions, 8 -1 and Percents Reading Math Think of the % symbol as meaning /100. 0. 75 = 75% = 75/100 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents To convert a fraction to a decimal, divide the numerator by the denominator. 1 = 1 ÷ 8 = 0. 125 8 To convert a decimal to a percent, multiply by 100 and insert the percent symbol. 0. 125 100 12. 5% Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 10 = a: 10% = 100 10 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents 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: 1 = 0. 25 = 25% 4 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. 4 2 40 = = c: 40% = 100 10 5 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents 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: 3 = 0. 60 = 60% 5 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents 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: 66 Pre-Algebra 2 2 0. 666 = % = 3 3

Relating Decimals, Fractions, 8 -1 and Percents Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. f: 87 Pre-Algebra 875 1 7 = 0. 875 = % = 1000 8 2

Relating Decimals, Fractions, 8 -1 and Percents Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. 5 1 125 1 = = g: 125% = 100 4 4 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b a: 12 Pre-Algebra c 50% e 75% g 3 8 d 5 8 f 1 125 1 1 = 0. 125 = % = 1000 8 2

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 1 25 = b: 25% = 100 4 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 1 3 c: = 0. 375 = 37 % 2 8 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 1 50 = d: 50% = 100 2 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 1 5 e: = 0. 625 = 62 % 2 8 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 3 75 = f: 75% = 100 4 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 12 % 25% 2 a b c 50% e 75% g 3 8 d 5 8 f 1 100 = 100% g: 1 = 100 Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Additional Example 2: Finding Equivalent Fractions, Decimals, and Percents Find the equivalent fraction, decimal, or percent for each value given on the circle graph. Fraction Decimal 15 3 = 100 20 35 = 7 100 20 38 19 = 100 50 3 25 Pre-Algebra 0. 15 Percent 0. 15(100) = 15% 7 = 0. 35 35% 20 19 = 0. 38 38% 50 3 = 0. 12(100) = 12% 25

Relating Decimals, Fractions, 8 -1 and Percents 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. Pre-Algebra The sum of the decimals should percents should be 100%.

Relating Decimals, Fractions, 8 -1 and Percents Try This: Example 2 Fill in the missing pieces on the chart below. Fraction Decimal 1 10 45 = 9 100 20 1 4 1 5 Pre-Algebra 0. 1 Percent 0. 1(100) = 10% 45 =0. 45 45% 100 25 100=0. 25(100) = 25% 1 = 0. 2(100) = 20% 5

Relating Decimals, Fractions, 8 -1 and Percents 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? parts pure gold total parts 14 = 7 24 12 7 = 7 12 = 0. 583 = 58. 3% 12 Set up a ratio and red Find the percent. 1 So 14 -karat gold is 58. 3%, or 58 % pure 3 gold. Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents 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. So, what percentage of the food the baker cooks is eaten without being sold? items eaten 1 Set up a ratio and red 13 total items 1 = 1 13 = 0. 077 = 7. 7% 13 Find the percent. So the baker, eats 7. 7% of the items they bake. Pre-Algebra

Relating Decimals, Fractions, 8 -1 and Percents Lesson Quiz Find each equivalent value. 3 as a percent 8 2. 20% as a fraction 5 3. as a decimal 8 14 4. as a percent 25 5. About 342, 000 km 2 of Greenland’s total area (2, 175, 000 km 2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice? 1. Pre-Algebra