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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Warm Up Evaluate – Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents or

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Pre-Algebra 8-1 Relating Decimals, Fractions, 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

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

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

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

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

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

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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1: Finding Equivalent Ratios and Percents b:b:0.25 = 1 4 = 25%

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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1: Finding Equivalent Ratios and Percents d:d:0.60 = 3 5 = 60%

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1: Finding Equivalent Ratios and Percents e:e: 2 3 % = = 2 3

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

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

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

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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Try This: Example 1 Continued c:0.375 = 3 8 = 37 % 1 2 Find the missing ratio or percent equivalent for each letter a–g on the number line. c ab e d 50%12 % f g % % 1

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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Try This: Example 1 Continued e:e:0.625 = 5 8 = 62 % 1 2 Find the missing ratio or percent equivalent for each letter a–g on the number line. c ab e d 50%12 % f g % % 1

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

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

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Find the equivalent fraction, decimal, or percent for each value given on the circle graph. Additional Example 2: Finding Equivalent Fractions, Decimals, and Percents 0.15(100) = 15% 7 20 = 0.35 FractionDecimalPercent % 38% = = = = = (100) = 12% 3 25

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents 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. Additional Example 2 Continued The sum of the fractions should be 1. The sum of the decimals should be 1. The sum of the percents should be 100%.

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents Try This: Example 2 Fill in the missing pieces on the chart below. FractionDecimalPercent % (100) = 10% 0.2(100) = 20% = = = 0.25(100) = 25% = 0.2

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents 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? Additional Example 3: Physical Science Application Set up a ratio and reduce. parts pure gold total parts = 7 = 7 12 = Find the percent = 58.3% 1 3 So 14-karat gold is 58.3%, or 58 % pure gold.

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents A bakers 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? Try This: Example 3 Set up a ratio and reduce. items eaten total items = 1 13 = Find the percent = 7.7% So the baker, eats 7.7% of the items they bake.

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Pre-Algebra 8-1 Relating Decimals, Fractions, and Percents 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 km 2 of Greenlands total area (2,175,000 km 2 ) is not covered with ice. To the nearest percent, what percent of Greenlands total area is not covered with ice?

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