Section 3.9 Percents Mr. Beltz & Mr. Sparks
Ratio A PERCENT is a ratio that compares a number to 100. You can write a percent as a FRACTION, DECIMAL, or a number followed by a % sign % This is the way we normally write percents.
Changing Decimals to Percents To change a decimal to a percent, move the decimal place two places to the RIGHT [same as multiplying by 100].4 = 40%.04 = 4%.004 =.4 % 1.2 = 120%
Changing a Fraction to a Percent To change a Fraction to a Percent: Divide the TOP by the BOTTOM Numerator = 4 Denominator 10 [Remember the TOP number goes into the Calculator 1 st ] 10/4 =.4.4 = 40%
Try these Percents
Writing Equations for Percents Objective: Write equations to solve problems involving percents.
Main Idea We can write an equation to find the percent of a number. We will change the words of a statement into math symbols. IS EQUALS [ = ] Of MULTIPLY [ * ]
Example IS EQUALS [ = ] Of MULTIPLY [ * ] What number is 20% of 750? x = 20 * 750 x =.20 * 750 x = 150
Example 2 IS EQUALS [ = ] Of MULTIPLY [ * ] What percent of 80 is 4? x * 80 = x =.05 5%
Practice P. 186 # 1-10, *Show your work!
Sales Tax Discount is a PERCENTAGE off of a price. [Subtract] Tax is a Percentage added to the price. [Add]
Example. Neiman Marcus has a sale. There is a 10% discount for all items purchased in the store. If you buy a coat for $100, how much do you have to pay? 10% off of a $100 coat is how much?.10 * 100 = x The discount is $10. Regular price of the coat: $100 - $10 (discount) = $90
Example. You buy a coat at Neiman Marcus for $100. There is a 6% sales tax added to the price. How much does the coat cost? $100 *.06 = $6 Original Price + Sales tax = final price $100 + $6 = $106
Practice P.186 #11,12.