FRACTIONS DECIMALS PERCENTS

Express as a decimal. Example: 3 7 5 Begin long division . 8 3 .00 3 7 5 Begin long division . 8 3 .00 Add decimal and zeros as needed -24 Align decimal and divide 6 -56 Answer will: 4 -40 * Terminate OR * Repeat

Express as a decimal. You try: 7 5 . 4 3 .00 -28 2 -20

Convert decimal to base 10 fraction; simplify Examples: Convert decimal to base 10 fraction; simplify 4 2 0.4 = = 10 5 35 7 0.35 = = 100 20 28 14 7 7.28 7 7 7 = = = 100 50 25

Convert decimal to base 10 fraction; simplify You try Convert decimal to base 10 fraction; simplify 8 4 0.8 = = 10 5 4 2 1 0.04 = = = 100 25 50 36 18 9 3.36 3 3 3 = = = 100 50 25

Move decimal point 2 places to the right and add the % sign. Express 0.375 as a percent Examples: Move decimal point 2 places to the right and add the % sign. 37.5 % 0.375 = Convert 2.867 to a percent 286.7 % 2.867 =

Convert decimals to percents You Try Convert decimals to percents 62.5 % 0.625 = 70 % .7 = Make sure there are at least two digits at the decimal points; add zero where needed (this does not change the value of the number).

Move decimal point 2 places to the LEFT and remove the % sign. Express 56.25 % as a decimal Example: Move decimal point 2 places to the LEFT and remove the % sign. 56.25 % .5625 = 1.25 125 % =

Express the percents as decimals You try Express the percents as decimals 97 % .97 = .035 3.5 % = 42.8 % .428 =

Express as a percent. Example: 1 25 25 % = = 4 100 Set up an “ out of 100 ” proportion Convert numerator x 25 1 25 25 % = = 4 100 x 25 Check to see how you would convert the first denominator to 100.

Express fractions as percents by long division You try: Express fractions as percents by long division 87.5 % 0.875 = 125 % 1.25 = 37.5 % .375 =

Percent of Change

Difference % Original 100

16 = x 50 100 Cross Multiply

1600 = 50x Solve for x 1600= 50x 50 50 X = 32%

Percent of Increase and Decrease Follow this formula: percent change increase/decrease amount 100 original amount Example: Increase from $ 80.00 to $100.00 x 20 100 80 Decrease from 80 to 75 x 5 100 80 x = 25 % x = 6.25%

Anjela became a famous architect. She made $90,000 in 2004. In 2005 she made $120,000. What is the percent of increase?

Finding the Discount and New Sale Price Janie wants to buy a pair of shoes that cost $50. They are on sale for 15% off. What is the new price? First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left. 15% 15. .15 Second…Multiply the original price ($50) by the decimal (.15). $50 x .15 = 7.5 ($7.50) This is the discount. Third…Subtract the discount from the original amount; that is the amount Janie paid for the shoes. $50.00 - $7.50 = $ 42.50

Discount Keeley wants to buy a DVD that costs $24. It is on sale for 25% off. After the sale, how much will Keeley pay for the DVD? $21.50 b. $1.00 c. $6.00 d. $18.00 A sofa cost $1,200. It is on sale for 30% off. What is the new price of the sofa? a. $120 b. $360 c. $840 d. $1560 Review

Answers D C

Susie made $500 on commission. Finding Commission Susie makes 5 % commission on the stocks that she sells. If she sells $10,000 in stocks, how much commission does she make? First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left. 5% 5. .05 Second… Multiply the amount sold ($10,000) by the decimal (.05). $10,000 x .05 = $500.00 Susie made $500 on commission.

Commission James just sold a $50,000 vehicle. He makes 12% commission. How much commission did he make on his sale? $44,000 b. $6,000 c. $38,000 d. $600 Barry sells real estate. He just sold a house for $300,000. If he receives 8% commission, how much does he earn? a. $2,400 b. $240 c. $24,000 d. $324,000 Review

Answers B C

Finding Tax John bought a new suit. His suit cost $125.00 He has to pay 6% sales tax on top of that. What was the total amount that John paid? First…Change the percent into a decimal by dropping the percent sign and moving the decimal two places to the left. 6% 6. .06 Second…Multiply the amount of the suit by the decimal. $125 x .06 = 7.5 ($7.50) Third…Add the sales tax to the original amount. $125.00 + $7.50 = $132.50 This is the tax!

Tax A bath tub costs $1435. How much will the tub cost after paying sales tax if the tax is 6%? $ 86.10 b. $1348.90 c. $1521.10 d. $1441.00 A blouse cost $27.00. A pair of pants cost $20. If Jane buys both the shirt and the blouse and pays 4% sales tax, how much will it cost all together? a. $48.88 b. c. $1.88 c. $45.12 d. $47.00 Review

Answers C A

Simple Interest Simple Interest is the interest paid only on the principal. The formula is: I = p r t means to multiply! Example: Jamie invested $700 at 5% for 6 years. How much simple interest did she earn? Step 1: Change the decimal into a percent 5% = .05 Step 2: Plug the numbers into the formula I = 700 .05 6 Step 3: Multiply! I = $ 210