Warm Up Evaluate. 1. 2. 3. 4. 7 12 1 3 2 15 3 15 1 3 3 12 – + 1 2 3 4 5 7 2 4 5 2 14 or 1 4 14 

Learn to compare and order decimals, fractions, and percents.

Percent: Ratio that compares a number to 100.

Fraction 3/4 Decimal 0.75 Percent 75% Read It (3 ÷ 4) Write It 4 3 Solve It .75 Write the percent as a fraction over 100. Then simplify. Move the decimal 2 times to the left. Move the decimal 2 times to the right.

0.25 0.83 5.67 3.33 87.9 34.85 Change the fraction to a decimal: 2. 1. 6. Change the fraction to a decimal: 1. 3. 5. 0.25 0.83 5.67 3.33 87.9 34.85 Continue…….

Change decimals to percents Continue…….

Change percents to decimals. Continue…….

Change percents to fractions. Continue…….

Additional Example 1: Finding Equivalent Ratios and Percents Find the missing ratio or percent equivalent for each letter a–g on the number line. 10 100 = 1 10 a: 10% =

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

Additional Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 40 100 = 4 10 = 2 5 c: 40% =

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

Additional Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 2 3 % = 66 2 3 e: 0.666 =

Additional Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 2 % = 87 875 1000 = 7 8 f: 0.875 =

Additional Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. 125 100 = 5 4 = 1 4 g: 125% =

Check It Out: Example 1 Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 1 2 % = 12 125 1000 = 1 8 a: 0.125 =

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 25 100 = 1 4 b: 25% =

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 1 2 3 8 = c: 0.375 = 37 %

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 50 100 = 1 2 d: 50% =

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 1 2 5 8 = e: 0.625 = 62 %

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 75 100 = 3 4 f: 75% =

Check It Out: Example 1 Continued Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d 50% 12 % f g 3 8 25% 1 2 5 75% 100 = 100% g: 1 =

Additional Example 2A: Comparing Fractions, Decimals, and Percents Compare. Write <, >, or =. 40% 1 4 1 4 = 0.25 = 25% Write as a percent. 25% < 40% Compare. 1 4 < 40% When multiplying a decimal by 100, simply move the decimal point two spaces to the right. Remember!

Additional Example 2B: Comparing Fractions, Decimals, and Percents Compare. Write <, >, or =. 0.893 50% 0.893 = 89.3% Write as a percent. 89.3% > 50% Compare. 0.893 > 50%

Check It Out: Example 2A Compare. Write <, >, or =. 65% 3 4 3 4 = 0.75 = 75% Write as a percent. 75% > 65% Compare. 3 4 > 65%

Check It Out: Example 2B Compare. Write <, >, or =. 0.136 20% 0.136 = 13.6% Write as a percent. 13.6% < 20% Compare. 0.136 < 20%

Additional Example 3: Ordering Fractions, Decimals, and Percents 4 Write 0.075%, , 0.41, and 100% in order from least to greatest. 3 4 = 0.75 = 75% Write as percents. 0.41 = 41% 0.075% < 41% < 75% < 100% Compare. 3 4 0.075%, 0.41, , 100%

Check It Out: Example 3 1 2 Write 35%, 0.25, , and 200% in order from least to greatest. 1 2 = 0.50 = 50% Write as percents. 0.25 = 25% 25% < 35% < 50% < 200% Compare. 1 2 0.25, 35%, , 200%

Additional Example 4: 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 24 7 12 = Set up a ratio and reduce. 7 12 = 7  12 = 0.583 = 58.3% Find the percent. 1 3 So 14-karat gold is 58.3%, or 58 % pure gold.

Check It Out: Example 4 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? items eaten total items 1 13 Set up a ratio and reduce. 1 13 = 1  13  0.077  7.7% Find the percent. The baker eats about 7.7% of the items they bake.

Lesson Quiz for Student Response Systems Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems 31

Lesson Quiz: Part I Find each equivalent value. 1. as a percent 2. 20% as a fraction 3. as a decimal Compare. Write <, >, or =. 4. 30% 5. 0.650 97% 3 8 37.5% 1 5 5 8 0.625 7 11 > <

Lesson Quiz: Part II 6. Write 245%, , 0.133, and 66.6% in order from least to greatest. 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? 1 5 1 5 0.133, , 66.6%, 245% 16%

Lesson Quiz for Student Response Systems 5 9 1. Identify the equivalent value of as a percent. A. 45.3% B. 55.5% C. 78.3% D. 86.5% 34

Lesson Quiz for Student Response Systems 2. Identify the equivalent value of 45% as a fraction. A. B. C. D. 35

Lesson Quiz for Student Response Systems 3 8 3. Identify the equivalent value of as a decimal. A. 0.252 B. 0.375 C. 0.456 D. 0.698 36

Lesson Quiz for Student Response Systems 4. Identify the correct symbol to compare. 0.430___50% A. > B. < C. = D. > 37