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7-7 Applying Percents Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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7-7 Applying Percents Warm Up Find the percent of each number. 1. 75% of 300 2. 93% of 56 3. 32% of 128 4. 9% of 60 225 52.08 40.96 5.4

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7-7 Applying Percents Problem of the Day A chessboard is 8 squares wide by 8 squares long. Each player has 8 pawns, 1 king, and 7 other pieces. At the start of a game, all the pieces are on the board, 1 piece per square. What percent of the total number of squares have a chess piece? 50%

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7-7 Applying Percents MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. Also MA.6.A.5.3 Sunshine State Standards

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7-7 Applying Percents Vocabulary discount tip sales tax

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7-7 Applying Percents Sales tax is an amount added to the price of an item. sales tax = price sales tax rate total cost = price + sales tax Sales tax A tip is an amount added to a bill for service. tip = bill tip rate total cost = bill + tip Tips A discount is an amount that is subtracted from the regular price of an item. discount = price discount rate total cost = price – discount Discounts Common Uses of Percents

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7-7 Applying Percents Additional Example 1: Finding Discounts A clothing store is having a 10% off sale. If Angela wants to buy a sweater whose regular price is $19.95, about how much will she pay for the sweater after the discount? Step 1: First round $19.95 to $20. Step 2: Find 10% of $20 by multiplying 0.10 20. 10% of 20 = 0.10 $20 = $2.00 The approximate discount is $2.00. Subtract this amount from $20.00 to estimate the cost of the sweater. $20.00 – $2.00 = $18.00 Angela will pay about $18.00 for the sweater.

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7-7 Applying Percents Check It Out: Example 1 A fishing store is having a 10% off sale. If Gerald wants to buy a fishing pole whose regular price is $39.95, about how much will he pay for the pole after the discount? $39.95 rounds to $40. 10% of 40 = $4 40 - 4 = $36 He will pay about $36.

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7-7 Applying Percents When estimating percents, use percents that you can calculate mentally. You can find 10% of a number by moving the decimal point one place to the left. You can find 1% of a number by moving the decimal point two places to the left. You can find 5% of a number by finding one- half of 10% of the number.

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7-7 Applying Percents Additional Example 2: Finding Tips Ben’s dinner bill is $7.85. He wants to leave a tip that is 15% of the bill. About how much should his tip be? Step 1: First round $7.85 to $8. Step 2: Think: 15% = 10% + 5% Step 3: 5% = 10% ÷ 2 = $0.80 ÷ 2 = $0.40 Step 4: 15% = 10% + 5%. Ben should leave about $1.20 as a tip. = $0.80 + $0.40 = $1.20 10% of $8 = 0.10 $8 = $0.80

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7-7 Applying Percents Check It Out: Example 2 Fran’s breakfast bill is $13.95. She wants to leave a tip that is 20% of the bill. About how much should her tip be? $13.95 rounds to $14. 2 1.40= $2.80 She should tip about $2.80. 10% of 14 = $1.40

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7-7 Applying Percents Additional Example 3: Finding Sales Tax Ann is buying a dog bed for $29.75. The sales tax rate is 7%. About how much will the total cost of the dog bed be? Step 1: First round $29.75 to $30. Step 2: Think: 7% = 7 1% 1% of $30 = 0.01 $30 = $0.30 Step 3: 7% = 7 1%. = 7 $0.30 = $2.10. The approximate sales tax is $2.10. Add this amount to $30 to estimate the total cost of the dog bed. $30 + $2.10 = $32.10 Ann will pay about $32.10 for the dog bed.

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7-7 Applying Percents Check It Out: Example 3A $19.83 rounds to $20. 1% of 20 = $0.20 8 0.20 = $1.60. 20.00 + 1.60 = $21.60 The total cost will be about $21.60. Erik is buying a blanket for $19.83. The sales tax rate is 8%. About how much will the total cost of the blanket be?

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7-7 Applying Percents Check It Out: Example 3B Diana is $39.95 rounds to $40. 1% of 40 = $0.40 8 0.40 = $3.20. 40.00 + 3.20 = $43.20 The total cost will be about $43.20. Diana is buying a rice cooker for $39.95. The sales tax rate is 8%. About how much will the total cost of the rice cooker be?

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7-7 Applying Percents Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

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7-7 Applying Percents Lesson Quiz 1. Sean’s new jeans are priced at $29.97, but the sale sign reads, “Take 15% off.” About how much will the jeans cost after the discount? 2. The bill for a family dinner comes to $56.78. About how much would a 20% tip be? 3. The price on a book is $12.99. If sales tax is 4%, about how much will its total cost be? 4. Megan wants a new bike. She is happy to see a sign that reads, “All bikes 10% off.” If the original price of the bike was $159.90 and sales tax is 6%, about how much will the total cost of the bike be? about $11.50 about $25.50 about $13.50 about $150

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7-7 Applying Percents 1. A pair of shoes is priced at $45.25. During a sale, a discount of 20% is offered on it. About how much will the pair of shoes cost after the discount? A. about $20 B. about $36 C. about $26 D. about $45 Lesson Quiz for Student Response Systems

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7-7 Applying Percents 2. Mary and her friends ordered lunch from a restaurant. The bill came to $27.85. About how much would a home delivery charge of 15% be? A. about $1.5 B. about $4.20 C. about $2.7 D. about $4.80 Lesson Quiz for Student Response Systems

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7-7 Applying Percents 3. The price of a pen is $6.60. If sales tax is 5%, about how much will its total cost be? A. about $6.69 B. about $7.26 C. about $6.90 D. about $7.60 Lesson Quiz for Student Response Systems

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7-7 Applying Percents 4. Isaac wants to buy an MP3 player. The shop offers 10% discount on all MP3 players. If Isaac chooses an MP3 player whose original price is $49.85 and sales tax rate is 8%, about how much will he have to pay? A. about $41.40 B. about $46.40 C. about $48.50 D. about $53.85 Lesson Quiz for Student Response Systems

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Discount, Tax and Tip. Warm Up 1). Mary bought 36 pieces of fruit at the store. If 25% of the fruit was apples, how many apples did she buy? 2). Ken won.

Discount, Tax and Tip. Warm Up 1). Mary bought 36 pieces of fruit at the store. If 25% of the fruit was apples, how many apples did she buy? 2). Ken won.

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