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7.7 Percents7.8 Percents, Decimals and Fractions

1

I can convert numbers into percents

I can transform numbers from one form to another

Copyright © 2000 by Monica Yuskaitis

Compare percent, decimal and fractions

50% .50 50 100

12= = =

Decimal FractionFractionSimplifiedPercent

Copyright © 2000 by Monica Yuskaitis

50 % Means50 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% means ¼• 25% of 8 lemons is 2 lemons

=25% of

Copyright © 2000 by Monica Yuskaitis

Comparing Fractions & Percents

25% .25 25 100

14= = =

Decimal FractionFractionSimplifiedPercent

Copyright © 2000 by Monica Yuskaitis

25 % Means25 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

7.9 Percent ProblemsI can solve real world problems involving percents

7

Find 35% of 20.7 or 7.00

d. Why is seven right?

20x .35

100607.00

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

9

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

40.965.4

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!

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?

Discounts

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?

Tips

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?

Sales Tax

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. How much are the shoes?

$45

d. Why is forty-five dollars correct?

$60x .25300

120$15.00

$60- 15$45

A shirt cost $30 plus 7% tax. What is the total cost?

$32.10

d. Why is thirty-two dollars and ten cents correct?

$30x .07

$2.10

$30.00+ 2.10$32.10

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