1. Warm Up California Standards Lesson Presentation Preview

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

3. NS1.3 Convert fractions to decimals and percents and use these representations in estimations, computations, and applications . California Standards

4. Vocabulary percent

5. Percents are ratios that compare a number to 100. 30% 50% 75% 0.30 0.50 0.75 Percent Decimal Ratio 3 10 30 100 = 1 2 50 100 = 3 4 75 100 =

6. Think of the % symbol as meaning per 100 or /100 . 75 % = 75 /100 = 0.75 Reading Math

7. 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 % 1 8 = 1 ÷ 8 = 0.125

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

27. Check It Out! Example 3 Write 35%, 0.25, , and 200% in order from least to greatest. 1 2 1 2 = 0.50 = 50% 0.25 = 25% Write the numbers in the same form. Compare. 1 2 25% < 35% < 50% < 200% 0.25, 35%, , 200%

28. Gold that is 24 karat is 100% pure gold. Gold that is 14 karat is 14 parts pure gold and 10 parts another metal. What percent of 14 karat gold is pure gold? Additional Example 4: Physical Science Application Set up a ratio and simplify. 7  12 = Find the percent. parts pure gold total parts 14 24 7 12 = 7 12 = 0.583 = 58.3% 1 3 So 14-karat gold is 58.3%, or 58 % pure gold.

29. 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 simplify. 1  13  Find the percent. 0.077  7.7% The baker eats about 7.7% of the items they bake. items eaten total items 1 13 1 13 =

30. 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% < 37.5% 0.625 > 3 8 7 11 1 5 5 8

31. Lesson Quiz: Part II 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% 1 5 1 5