Grade 11 Math Chapter 3 PDF

Summary

This document appears to be a math chapter, specifically for grade 11, covering various calculations related to purchasing decisions and Ontario's HST tax.

Full Transcript

Page 59 Aimee is suggesting that Gavin should not make a purchasing decision solely based on the fact that he will receive something for free. Instead, Gavin should consider other factors before making the purchase, such as the quality of the product, the price, the brand reputation, and whether he...

Page 59 Aimee is suggesting that Gavin should not make a purchasing decision solely based on the fact that he will receive something for free. Instead, Gavin should consider other factors before making the purchase, such as the quality of the product, the price, the brand reputation, and whether he actually needs or wants the product. By considering these factors, Gavin can make a more informed and sound purchasing decision. _______________________ Page 60 To find the after-tax cost of a purchase, you need to calculate the total cost including tax. Here are the steps to determine the after-tax cost: 1. Round each value to the nearest dollar: a) $19.99 rounds to $20 b) 79¢ rounds to $1 c) $1.19 rounds to $1 d) $48.88 rounds to $49 2. Divide each rounded value in half: a) $20 / 2 = $10 b) $1 / 2 = $0.50 c) $1 / 2 = $0.50 d) $49 / 2 = $24.50 3. Determine 10% of each value without using a calculator: a) 10% of $47.00 = $4.70 b) 10% of $83.00 = $8.30 c) 10% of $107 = $10.70 4. Divide each answer from step 3 in half: a) $4.70 / 2 = $2.35 b) $8.30 / 2 = $4.15 c) $10.70 / 2 = $5.35 5. Evaluate 11% and 7% of different values: a) 11% of $100 = $11 b) 7% of $100 = $7 c) 11% of $1000 = $110 d) 7% of $300 = $21 To calculate the total cost of a purchase with HST in Ontario, you would add the HST amount to the initial cost of the item. This will give you the total amount you need to pay, including tax. _______________________ Page 61 1. a) To calculate the HST paid on the purchase of 1 package of batteries costing $1, first, determine the HST rate in Ontario. If the HST rate is 13%, then the HST amount would be: HST = $1 x 0.13 = $0.13 b) The total cost of the package of batteries would be the initial cost plus the HST paid: Total cost = $1 + $0.13 = $1.13 c) The total cost of 2 packages of batteries would be twice the total cost of one package: Total cost of 2 packages = $1.13 x 2 = $2.26 2. To determine the HST paid on the dollar-store purchases: a) $2 x 0.13 = $0.26 b) $3 x 0.13 = $0.39 c) $4 x 0.13 = $0.52 d) $5 x 0.13 = $0.65 e) $10 x 0.13 = $1.30 f) $20 x 0.13 = $2.60 3. To calculate the after-tax cost of the purchases in #2, you would add the HST amount to the initial cost: a) $2 + $0.26 = $2.26

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