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3.10 Using Percents To convert fractions and decimals

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Presentation on theme: "3.10 Using Percents To convert fractions and decimals"— Presentation transcript:

1 3.10 Using Percents To convert fractions and decimals
to percent (and vice versa) To solve equations involving percent

2 Percent The ratio of a number to 100.
Can be converted to a fraction or to a decimal.

3 To convert a % into a Decimal…
Move the decimal over two spots to the left and drop the %

4 Write as a decimal: 137% = 1.37

5 Write as a decimal: 0.5% = 00000 0.005

6 Write as a decimal: 100% = 1

7 To convert the % into a fraction...
Drop the percent sign put the number over 100 and reduce if possible

8 Write as a fraction: 29% =

9 Write as a fraction: 14% =

10 Write as a fraction: 37.5% = •10 ÷25 Cannot leave fractions or decimals in fractions

11 Write a Fraction as a % Set your fraction = to x/100 and solve for x

12 Write as a percent: Cross-product 

13 Write as a percent: Cross-product 

14 Solving % Problems Is = % Of

15 15% of 60 is what number? 9 = x

16 30% of what number is 27

17 What is 20% of 45

18 What percent of 30 equals 66?

19 Steps Read the question thoroughly a few times
Write down information the problem gives you Form an equation Solve Check your answer

20 The tax on an car was 6% of its price
The tax on an car was 6% of its price. What was the price of the car if the tax was $633? -Price of car ? X -Tax is 6 % of price of car (x) -Total tax is $ (x) = 633 -Solve x = 633/0.06 x = 10,550 -Check the price of the car was $ If we find 6% of 10,550 we get $633 so it checks out 

21 Assignment: Page 156 2-50 (even)

22 Solve: Write as a decimal: 2) 60% 4) 1% 6) 180% 8) 0.6%
10) 2.8% Express as a percent (round to tenth): Solve:


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