1. FRACTIONSDECIMALSPERCENTS: “”SEA”- ng THE CONNECTIONS “”SEA”- ing THE CONNECTIONS 25% 90% 1/2 13/20.45.3131 …

2. Sea-ing the Connection Sea-ing the Connection Fractions to Decimals Fractions to Decimals Fractions to Percents Fractions to Percents Decimals to Fractions Decimals to Fractions Decimals to Percents Decimals to Percents to Decimals Percents to Decimals Percents to Fractions Percents to Fractions Fishing for Games Fishing for Games Fishing for links Fishing for links Fishing for Credits Fishing for Credits Main Menu Note:This presentation is best viewed in the font intended, Gilligan’s Island. Please click here to download a version for better viewing. Thanks!here

3. Sea-ing the Connection “Fish Food is Brain Food” or tips to remember You can use the fact that percent means “out of 100” to rewrite a percent as a fractionYou can use the fact that percent means “out of 100” to rewrite a percent as a fraction To write a decimal as a percent, move the decimal point two places to the rightTo write a decimal as a percent, move the decimal point two places to the right To write a percent as a decimal, move the decimal point two places to the leftTo write a percent as a decimal, move the decimal point two places to the leftVocabulary Fraction – a number in the form a/b Ex – 2/3 Percent – a ratio comparing a number to 100 Ex – 29% = 29/100 Terminating decimal – a decimal number that ends Ex – 2.33 Repeating decimal - a decimal that repeats a pattern of digits ex -.121212… Main Menu

4. Changing a Fraction to a Decimal There are two methods to write a fraction as a decimal. Method 1: Find an equivalent fraction with a denominator of ten, 100, or any other power of ten. Ex – 3 (x 4) = 12 =.12 25 (x 4) 100 Method 2: Because a fraction indicates division,the numerator of the fraction can be divided by the denominator. divided (Sea-ing the connection: Two-thirds of a pizza means a whole pizza divided into three equal parts.) 0. 12 Ex 3 25 3. 00 or 3 ÷ 20 =.012 20 Main Menu

5. Now, It’s your turn to turn fractions into decimals. Complete the conversions below on your notebook paper with either method. Check your answers by clicking on the fish after you’ve finished all eight problems. 1. 8/252. 34/125 3. 3/84. 2/3 5. 7/406. 7/8 7. 8/11 8. 15/25 Main Menu

6. 8/25 =.32 Main Menu

7. 34/125 =.272 Main Menu

8. 3/8 =.375 Main Menu

9. 2/3 =.6666….. Main Menu

10. 7/40 =.175 Main Menu

11. 7/8 =.875 Main Menu

12. 7/40 =.175 Main Menu

13. 8/11 =.7272… Main Menu

14. 15/25 =.6 Main Menu

15. Changing a Fraction to a Percent To express a fraction as a percent, first change the fraction to a decimal(*helpful hint if you’ve forgotten how*) and then move the decimal two places to the right and add the percent sign.(*helpful hint if you’ve forgotten how*) 4/5 = 4 ÷ 5 =.8 =.8. 0. = 80% Now, it’s your turn to change a fraction to a percent. Click on the next button to continue

16. Main Menu Convert the following fractions to percents on your notebook paper. Check your answers by clicking on the fish after you’ve finished all five problems. 1.8/252. 5/6 3. 7/84. 1/20 5. 9/1000

17. 8/25 = 32% Main Menu

18. 5/6 = 83 1/3%

19. Main Menu 7/8 = 87.5%

20. Main Menu 1/20 = 5%

21. Main Menu 9/1000 = 0.9%

22. Changing Decimals to Fractions To express a decimal as a fraction, first write the decimal with a denominator in a power of 10 indicated by the final digit of the decimal. Then simplify the fraction. Ex – 0.45 45 (÷ 5) = 9 100 (÷ 5) = 20 Ex -.8 8 = 4 10 5 Now, it’s your turn to change a decimal to a fraction. Click on the next button to continue Main Menu

23. Convert the following decimals to fractions on your notebook paper. Check your answers by clicking on the fish after you’ve finished all five problems. 1.0.852. 0.55 3. 0.6254. 0.83 5. 0.272

24. Main Menu.85 = 17/20

25. Main Menu.55 = 11/20

26. Main Menu 0.625 = 5/8

27. Main Menu 0.83 = 83/100

28. Main Menu 0.272 = 34/125

29. Changing Decimals to Percents To express a decimal as a percent, remember that you can write the decimal as a fraction with a denominator of 100. And you also remember that percent is expressed as a number “out of 100”. So, the fraction can be written as a percent. Ex -.75 means 75/100 which is the same as 75% Ex – 0.125 means 125/1000, which reduced to a number over 100, is 12.5/100 which is 12.5% Wanna get hooked on a quick method to changing a decimal to a percent? Just remember to move the decimal two places to the right and add your percent sign! Ex -.8 =.8. 0. = 80% Now, it’s your turn to change a decimal to a percent. Click on the next button to continue. Main Menu

30. Convert the following decimals to a percent on your notebook paper. Check your answers by clicking on the fish after you’ve finished all five problems. 1.0.1952. 0.07 3. 0.03344. 0.55 5. 0.01

31. Main Menu.195 = 19.5%

32. Main Menu.07 = 7%

33. Main Menu.0334 = 3.34%

34. Main Menu.55 = 55%

35. Main Menu.01 = 1%

36. Changing Percents to Decimals To express a percent as a decimal, you can divide the percent by 100 and remove the percent sign. Ex – 72% = 72 which is 72 ÷ 100 which is.72 100 Ex – 37.5% = 37.5 which is 37.5 ÷ 100 which is 0.375 100 Wanna get hooked on a quick method to changing a percent to a decimal? Just remember to move the decimal two places to the left and remove your percent sign! Ex – 25% =. 2 5 % =.25 Main Menu

37. Convert the following Percents to decimals on your notebook paper. Check your answers by clicking on the fish after you’ve finished all five problems. 1.6%2. 190% 3. 37 ¾%4. 40% 5. 100%

38. Main Menu 6% =.06

39. Main Menu 190% = 1.9

40. Main Menu 37 ¾% =.3475

41. Main Menu 40% =.4

42. Main Menu 100% = 1

43. Changing Percents to Fractions To express a percent as a fraction, write a fraction with a denominator of 100. (Remember, a percent is a number “out of 100.”) Then simplify the fraction into lowest terms. Ex – 65% = 65 (÷ 5, which is the greatest common factor) = 13 100 (÷ 5) 20 Here’s a bit more challenging example; simplifying into lowest terms takes a few more steps. Ex – 16 ½% = 16 ½ = 16 ½ ÷ 100 = 33 ÷ 100 = 33 x 1 = 33 100 2 2 100 200 Main Menu

44. Convert the following Percents to fractions on your notebook paper. Check your answers by clicking on the fish after you’ve finished all five problems. 1.80%2. 32% 3. 75%4. 12 ½% 5. 15%

45. Main Menu 80% = 4/5

46. Main Menu 32% = 8/25

47. Main Menu 75% = 3/4

48. Main Menu 12 ½% = 1/8

49. Main Menu 15% = 3/20

50. Fishing for a game Click on the Fish Bowl and Go Fish!(A matching game of Equivalent Fractions, Decimals, and Percents) Main Menu

51. Fishing for math links While you’re surfing the web, dive into these swimming holes to learn more about fractions, decimals, and percents or any other math topic. Meter Math resources Ask Dr. Math Saloon Snap - A BBC Education Game of conversion (lots of fun)Saloon Snap Marin College, ca mathematics Department – Converting repeating decimals to fractionsMarin College, ca mathematics Department Math.com Decimal matching – Harcourt school publishers siteDecimal matching Main Menu

52. Fishing for credits This presentation was developed as part of a course requirement for the Masters of Instructional Technology program @ Virginia Tech. Thanks for visiting. Main Menu