Course Relating Decimals, Fractions, and Percents 6-1 Relating Decimals, Fractions, and Percents Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course Relating Decimals, Fractions, and Percents Warm Up Evaluate –  or

Course 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

Course Relating Decimals, Fractions, and Percents Learn to compare and order decimals, fractions, and percents.

Course Relating Decimals, Fractions, and Percents Vocabulary percent

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

Course Relating Decimals, Fractions, and Percents Think of the % symbol as meaning per 100 or / % = 75/100 = 0.75 Reading Math

Course 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  100  12.5%

Course 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% = =

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued b:b:0.25 = 1 4 = 25%

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued c:c:40% = = =

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued d:d:0.60 = 3 5 = 60%

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued e:e: 2 3 % = = 2 3

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued f:f: 1 2 % = = =

Course Relating Decimals, Fractions, and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. Additional Example 1 Continued g:g:125% = = 5 4 = 1 4 1

Course Relating Decimals, Fractions, and Percents Check It Out: Example 1 Find the missing ratio or percent equivalent for each letter a–g on the number line. a:a: 1 2 % = = = c ab e d 50%12 % f g % % 1

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Check It Out: 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

Course Relating Decimals, Fractions, and Percents Additional Example 2A: Comparing Fractions, Decimals, and Percents Compare. Write, or =. 40% = 0.25 = 25% 25% < 40% Write as a percent. Compare < 40% When multiplying a decimal by 100, simply move the decimal point two spaces to the right. Remember!

Course Relating Decimals, Fractions, and Percents Additional Example 2B: Comparing Fractions, Decimals, and Percents Compare. Write, or = % = 89.3% 89.3% > 50% Write as a percent. Compare > 50%

Course Relating Decimals, Fractions, and Percents Check It Out: Example 2A Compare. Write, or =. 65% = 0.75 = 75% 75% > 65% Write as a percent. Compare > 65%

Course Relating Decimals, Fractions, and Percents Check It Out: Example 2B Compare. Write, or = % = 13.6% 13.6% < 20% Write as a percent. Compare < 20%

Course Relating Decimals, Fractions, and Percents Additional Example 3: Ordering Fractions, Decimals, and Percents Write 0.075%,, 0.41, and 100% in order from least to greatest = 0.75 = 75% 0.41 = 41% Write as percents. Compare % < 41% < 75% < 100% 0.075%, 0.41,, 100%

Course Relating Decimals, Fractions, and Percents Check It Out: Example 3 Write 35%, 0.25,, and 200% in order from least to greatest = 0.50 = 50% 0.25 = 25% Write as percents. Compare % < 35% < 50% < 200% 0.25, 35%,, 200%

Course 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 4: 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.

Course Relating Decimals, Fractions, and Percents 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? Check It Out: Example 4 Set up a ratio and reduce. items eaten total items = 1  13 = Find the percent = 7.7% The baker eats 7.7% of the items they bake.

Course Relating Decimals, Fractions, and Percents Lesson Quiz: Part 1 Find each equivalent value. 1. as a percent 2. 20% as a fraction 3. as a decimal Compare. Write, or = % % < 37.5% >

Course Relating Decimals, Fractions, and Percents Lesson Quiz: Part 2 6. Write 245%,, 0.133, and 66.6% in order from least to greatest. 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? 16% 0.133,, 66.6%, 245%