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MATH 8

MATH 8 . Unit 5: Percent, Ratio, and Rate. Unit 5.1. Relating Fractions, Decimals, and percent. Percent to Fraction. Percent to fraction. Step 1: Divide the number by 100. Step 2: Take out the percentage sign. Step 3: Eliminate the decimals in the fraction. Step 4: Reduce to lowest term.

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MATH 8

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  1. MATH 8 Unit 5: Percent, Ratio, and Rate

  2. Unit 5.1 Relating Fractions, Decimals, and percent

  3. Percent to Fraction Percent to fraction • Step 1: Divide the number by 100 • Step 2: Take out the percentage sign • Step 3: Eliminate the decimals in the fraction • Step 4: Reduce to lowest term 1) 19% 4) 92.5% 5) 47.25% 2) 36% 3) 85%

  4. Percent to Fraction to Decimal Percent to fraction to decimal • Step 1: Get the denominator in a power of 10. • Step 2: Divide the numbers. 1) 19% 4) 92.5% = 0.925 = 0.19 2) 36% = 0.36 5) 47.25% = 0.4725 3) 85% = 0.85

  5. Fraction to Decimal If fraction has a denominator that is difficult to get to base 10, use calculator to divide 1) = 0.75 2) = 0.625

  6. Fraction to Decimal to Percentage Put it back to fraction with base 10- denominator Get denominator to be 100. Take the numerator as the percentage. 1) = 0.75 = 75% 2) = 0.625 = 62.5%

  7. More Questions Try to get the following fractions to decimal and then to percentage form 3) =0.6 = 60% 4) = =0.4725 = 47.25%

  8. Unit 5.2 Calculating Percent

  9. Steps… • Calculating Percent of a number • Step 1: Get percent in decimal form. • Step 2: Multiply decimal to the number (i.e. 200).

  10. Calculating Percent of a Number • Question 1What is 180% of 200? 200 ?? 0% 100% 180%

  11. Calculating Percent of a Number • Question 1What is 180% of 200? 200 ?? 0% 100% 180% 180% = 1.8 1.8 * 200 = 360

  12. Question 2 • Question 2What is 37.55% of 95? 95 ?? 0% 100% 37.55% 37.55% = 0.3755 0.3755 * 95 = 35.6725

  13. Problem • Question 3 Of the people who watched the Lego Movie, 30% of the viewers were adults. If there were 300 people watching over the weekend. How many of them were adults? 30% = 0.3 0.3 * 300 = 90

  14. Terms Cost price is the price that the store has to pay to get the merchandise Selling price is the price that the store sells the merchandise

  15. Question 4 • Question 4The cost price of a Wal-Mart T-shirt is $5.00. The selling price is 300% of the cost price. What is the selling price of the T-shirt? Illustrate the answer in a number line. 300% = 3 5* 3 = $15.00

  16. Unit 5.3 Solving Percent Problems

  17. Question 1 a) Spiderman’s height was 165cm last year. After drinking some special juice, his height increased by 25%. What is his height now? Solution A25% = 0.25 165×0.25 =41.25 cm165+ 41.25 = 206.25 cm Solution B 100% + 25% = 125% (+) if increase, (-) if decrease125% = 1.25165 × 1.25 = 206.25 cm

  18. Question 1 b) The effect of this juice is weight loss. In the past, Spiderman kept a constant weight of 140 lbs. But after taking the juice, his weight decreased by 30%. What is his new weight. Solution A30% = 0.30 140×0.3 =42 lbs140 - 42 = 98 lbs Solution B 100% - 30% = 70% 70% = 0.7140 × 0.7= 98 lbs

  19. Question 2 a) 70% of a number is 63. What is the number? 63 ?? 0% 70% 100% Step 1: Get the percent in decimal form. Step 2: Divide the number by the decimal Solution: 70% = 0.7 63 ÷ 0.7 = 90

  20. Question 2 b) 200% of a number is 96 96 ?? 0% 100% 200% Solution: 200% = 2 96÷ 2 = 38

  21. Percent Increase/Decrease The price of a T-shirt in Wal-Mart increased from $20 to $25. To find the percent increase/decreaseStep 1: Divide final value to initial valueStep 2: Subtract 100% to/from it Solution: 25 ÷ 20 = 1.25 1.25 = 125% 125% - 100% = 25%

  22. More Percent Increase/Decrease A purse went on sale in Michael Kors. The bag’s original price was $500. After a marked down deduction, the price became $420. What was the percent decrease of the bag? Solution: 420÷500 = 0.84 0.84= 84% 100% - 84% = 16%

  23. Unit 5.4 Sales Tax and discount

  24. GST, PST, and HST GST – Goods and Services Tax Federal tax 5% PST – Provincial Sales Tax Provincial tax Depends on the province HST- Harmonized Sales Tax PST + GST combined Depends on the Province

  25. Tax in our provinces The following link sends you to a website showing the current taxes in each provinces http://www.retailcouncil.org/quickfacts/taxrates

  26. Tax questions A pair of jeans in American Eagle cost $55. How much is the final price of this jeans in… a) BC –(GST= 5% and PST = 7%) b) Quebec (GST=5% and PST= 9.975%) Solution a) tax = 5% + 7% = 12% 12%= 0.12 55 × 0.12 = 6.60 55 + 6.6 = $61.60

  27. Tax questions A pair of jeans in American Eagle cost $55. How much is the final price of this jeans in… a) BC –(GST= 5% and PST = 7%) b) Quebec (GST=5% and PST= 9.975%) Solution b) tax = 5% + 9.975% = 14.975% 14.975%= 0.14975 55 × 0.14975 = 8.24 55 + 8.24 = $63.24

  28. Discount and Taxes A dress shirt in Banana Republic is priced at $80. For the weekend, there is an additional 20% off. How much do I have to pay considering there is a tax of 12% in BC. Solution 1:0.2 × 80 = $1680-16 = $6464 × 0.12 = $7.6064 + 7.60 = $71.60

  29. Double Discounts James work at Sport Chek as a cashier. He gets an employee discount of 10% on everything he buys. He wants to buy a new pair of Nike running shoes that is regularly priced at $79.99. The shoe is currently on sale for 30% off. How much is the shoe after the discounts. Discount #110% = 0.179.99 × 0.1 = 7.99979.99 – 7.999 = 71.991 Discount #230% = 0.371.991 × 0.3 = 21.5973 71.991 – 21.5973 = $50.3937

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