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Converting Fractions, Decimals, and Percents - Math Exercises

Practice converting fractions, decimals, and percents with real-world examples. Learn how to convert between different forms and solve mathematical problems using proportional relationships. Bellwork includes a review game to reinforce concepts.

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Converting Fractions, Decimals, and Percents - Math Exercises

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  1. Test: MondayHave out Paper, pencil, and calculatorMake sure you try the bonus  When finished: work on something quietly on your own!!

  2. Converting Fractions, Decimals and Percents Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  3. ¼ .25 25%

  4. Same Value Different Forms A same value can be written in different forms. For example: ½fraction .5decimal 50%percent

  5. Fractions Fractions can be converted into other forms… OVER 100 Percent 100 Numerator Denominator DIVIDE PERCENTS DECIMALS MULTIPLY BY 100

  6. Convert a Fraction into a Decimal

  7. Convert a decimalinto a percentage Multiply the decimal by 100: 0.25 x 100 = 25% Example: 0.625 = **Multiplying by 100 moves the decimal two places right.Be sure to add the % sign.

  8. Convert a Percent to a Fraction Put the percent over 100 () Simplify the fraction Example: 36% = =

  9. Practice

  10. Finding percents using proportions Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  11. Proportion Example • =

  12. Examples

  13. Examples

  14. Homwork • Due Friday 

  15. Percent equation Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  16. Part = % (in decimal form) x whole Practice

  17. Percent Change Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  18. Whole-classExample Find the change: 2.95 – 1.30 = 1.65 Set up ratio: change1.65 original 1.30 Convert fraction to decimal: 1.269Convert decimal to % 126.9% 126.9% INCREASE IS REASONABLE THE PRICE MORE THAN DOUBLED!!

  19. IndividualExample Find the change: 280 – 220 = 60 Set up ratio: change 60 original 280 Convert fraction to decimal .214 Convert decimal to % 21.4%

  20. Percent error Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  21. Whole-classExample Find the error: 15 – 13.5 = 1.5 Ratio of Error 1.5 Actual 15 Convert to Decimal: .1 Convert to % 10%

  22. IndividualExample Find the error: 13.75 – 10 = 3.75 Ratio of Error 3.75 Actual 13.75 Convert to Decimal: .272 Convert to % 27%

  23. Homwork • Due Friday 

  24. Sales tax and total cost Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  25. Whole-classExample Tax = 0.055 x 42Tax = 2.31 42 + 2.31 = Total Sweatshirt + tax = total 42 + 2.31 = $44.31

  26. Whole-classExample 100% + 5.5% 1.055 Total cost = 1.055 x 42 Total cost = $44.31

  27. IndividualExample 2.95 x 1.05 = $3.10 28 x 1.15 = $32.20 $30 100% Tip 20% Tax 5.75% 125.75% 1.2575 x 30 = $37.73

  28. Tips and markups Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  29. Whole-classExample Method 1: 15 x .2 = 3 15 + 3 = $18 Method 2: 15 x 1.2 = $18

  30. IndividualExample $42 100% tax 6% Tip 20% Total 126% 1.26 x 42 = $52.92

  31. Sale price and original price Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  32. Whole-classExample $15.50 at 25% discount means a person will pay 75% 15.50 x .75 = 11.625 $11.63 Now add tax 11.63 x 1.065 = $12.39

  33. IndividualExample $239.89 was 30% discount a person will paid 70% If 239.89 is 70% what was 100%? 239.89 = 70% x 100% x = $342.70

  34. SImple interest formula Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  35. Whole-classExample That means Jenny had a total of (1560 + 1170) $1,170 In her savings account at the end of 3 years Interest = Principal x Rate x Time I = 1,560 x 0.025 x 3 I = $1,170

  36. IndividualExample Interest = Principal x Rate x Time I = 760 x 0.04 x 5 I = $152 That means Marcos had a total of (760 + 152) $912 In his savings account at the end of 5 years

  37. Homwork • Due Friday 

  38. Bellwork

  39. Review percents game Standards: 7.RP.2, 7.RP.3 Analyze proportional relationships and use them to solve real-world and mathematical problems

  40. X-factor game

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