7.8 Percents, Decimals and Fractions

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Presentation transcript:

7.8 Percents, Decimals and Fractions I can convert numbers into percents 7.8 Percents, Decimals and Fractions I can transform numbers from one form to another

Compare percent, decimal and fractions Simplified Percent Decimal Fraction 50% .50 50 100 1 2 = = = Copyright © 2000 by Monica Yuskaitis

50 % Means 50 parts out of 100 or 50 hundredths. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Copyright © 2000 by Monica Yuskaitis

= 25% of 25% means ¼ 25% of 8 lemons is 2 lemons Copyright © 2000 by Monica Yuskaitis

Comparing Fractions & Percents Simplified Percent Decimal Fraction 25% .25 25 100 1 4 = = = Copyright © 2000 by Monica Yuskaitis

25 % Means 25 parts out of 100 or 25 hundredths. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Copyright © 2000 by Monica Yuskaitis

I can solve real world problems involving percents 7.9 Percent Problems I can solve real world problems involving percents

Find 35% of 20. 7 or 7.00 20 x .35 100 60 7.00 d. Why is seven right?

7.10 Applying Percents I can solve percent problems that involve discounts, tips and sales tax

Review from yesterday…. 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

Common Uses of 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

Percent Tips….. 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.

To multiply by 0.10, move the decimal point one place left. Remember!

Discounts A fishing store is having a 10% off sale. If Gerald wants to buy a fishing pole whose regular price is $39.95, how much will he pay for the pole after the discount?

Tips Ben’s dinner bill is $7.85. He wants to leave a tip that is 15% of the bill. How much should his tip be?

Sales Tax Ann is buying a dog bed for $29.75. The sales tax rate is 7%. How much will the total cost of the dog bed be?

There is a discount of 25% off on a $60 pair of shoes There is a discount of 25% off on a $60 pair of shoes. How much are the shoes? $15 % c. Why is fifteen dollars wrong?

There is a discount of 25% off on a $60 pair of shoes There is a discount of 25% off on a $60 pair of shoes. How much are the shoes? $45 $60 x .25 300 120 $15.00 $60 - 15 d. Why is forty-five dollars correct? $45

A shirt cost $30 plus 7% tax. What is the total cost? $32.10 $30 x .07 $2.10 $30.00 + 2.10 $32.10 d. Why is thirty-two dollars and ten cents correct?