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

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

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

Write as a decimal: 137% = 1.37

Write as a decimal: 0.5% = 00000 0.005

Write as a decimal: 100% = 1

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

Write as a fraction: 29% =

Write as a fraction: 14% =

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

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

Write as a percent: Cross-product 

Write as a percent: Cross-product 

Solving % Problems Is = % Of 100

15% of 60 is what number? 9 = x

30% of what number is 27

What is 20% of 45

What percent of 30 equals 66?

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

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 0.06(x) -Total tax is $633 0.06(x) = 633 -Solve x = 633/0.06 x = 10,550 -Check the price of the car was $10550. If we find 6% of 10,550 we get $633 so it checks out 

Assignment: Page 156 2-50 (even)

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: