1. Fractions, Decimals and Percents

2. Pre-Skill Check 0.67 4.5 201.53 0.379 8.04 Write each phrase as a decimal in numerical form. 1.Sixty-seven hundredths 2.Four and five tenths 3.Two hundred one and fifty-three hundredths 4.Three hundred seventy- nine thousandths 5.Eight and four hundredths

3. Decimals to fractions 1.0.25 = 2.2.3 = 3.70.609 = 4.3.05 = 5.2.007 = 6.271.092 =  Any number to the left of the decimal is a whole number.  The number to the right of the decimal is the numerator of the fraction.  The place value of the LAST digit in the number is the denominator. Ex: 4.75 =4 75 100 475 Ones. Tenths Hundredths 25 10010 2 3 70 609 1000 3 5 100 2 7 1000 271 92 1000

4. Fractions to Decimals = 0.7 = 0.22 = 0.714… = 0.375 = 2.75 = 36.8  Any whole number is a number to the left of the decimal.  Divide the denominator into the numerator. 7 10 1. 9 2 2. 5 7 3. 3 8 4. 2 3 4 5. 36 4 5 6. 0.0.6 - 54 6 0 0 6 6 4.66 6969 Ex: = 4 4 + 0.66 =

5. Decimals to Percents  Move the decimal to the right 2 places.  If there are not enough numbers to fill the spaces add a ‘0’ to fill it in. Turn the Decimals into Percents 1.0.56 = 2.0.79 = 3.0.05 = 4.0.2 = 5.0.367 = 6.2.1 = 0.97 = 0.6 56% 79% 5% 20% 36.7% 210% 97% = 60% 0

6. Warm Up - 2/4/09 Turn the decimals into fractions. 1.3.65 = 2.0.73 = 3.19.087 = Turn the Decimals into Percents. 4.0.71 = 5.0.3 = 6.0.08 = 7.0.276 = 73 100 87 1000 19 71% 30% 8% 27.6% or 28% 65 100 3

7. Percents to Decimals  Move the decimal to the left 2 places.  If there are not enough numbers to fill the spaces add a ‘0’ to fill it in. Turn the Percents into Decimals 1.75% = 2.24% = 3.3% = 4.10% = 5.12.6% = 6.150% = 32% = 1% 0.75 0.24 0.03 0.1 or 0.10 0.126 1.5 or 1.50 0.32 = 0.01 0

8. Fractions and Percents Fractions to Percents  First turn the fractions into decimals.  Then follow the process for turning Decimals into Percents. Percents to Fractions  First turn the percent into a decimal.  Then turn the decimal into a fraction.

9. Turn the Fractions into percents. Turn the Percents into Fractions. 5.25% 6.75% 7.33% 8.2% 9.4% 10.50% Fractions and Percents 3 10 1. 4 5 2. 9 11 3. 2 4 4. = 0.3 = 0.8 = 0.818 = 0.5 = 0.25 = = 0.75 = = 0.33 = = 0.02 = = 0.04 = = 0.5 = 25 100 75 100 33 100 2 4 50 100 5 10 or = 30% = 80% = 82% = 50%

10. Taking a Percent of an Amount. Khadijah went to a sale at her favorite store. She found a jacket that was 20% off. If the original cost of the jacket was $150. How much money will she save? 20% of 150 150 x 0.20 = She would save $30. How much will the jacket cost? $150 - $30 = Turn the percent into a decimal and then multiply the decimal by the amount. 30 $120 20% = 0.20 150 x 0.20 0 02 0 1 0 0 0 00 3 + 00 03 00 0000

11. Warm Up – 2/5/09 Bestbuy is having a sale. You found the CD you wanted for 30% off. The original cost was $17.95. What is the sale cost of the CD before taxes? 30% of 17.95 17.95 x 0.30 = You would save $5.39. 5.39 $12.56 30% = 0.30 17.95 x 0.30 0 03 5 0 0 0 00 3 + 00 83 0 0585 0 5 00 0 122 How much will the CD cost? $17.95 - $5.39 =

12. Find the percent of each amount. Show your Work. 1.25% of 80 2.33% of 90 3.40% of 67 4.65% of 175 = 20 = 29.7 = 26.8 = 113.75

13. Topics Covered So far  Decimals to Fractions  Fractions to Decimals  Decimals to Percent  Percent to Decimals  Fractions to Percents  Percents to Fractions  Percent of an amount

14. Percents Target is having a sale on movies. Chris found the movie he wanted at a discounted price. He saved $8 off the original price of $25. What percent of the original price did he save? What are we looking for? The percent off. How do we find that? First lets look at another problem and come back to this one later.

15. Percents If Chris found the movie for 20% off and the original cost was $25. How much would he save? Remember that 0.20 is the same as 0.2 To make the multiplication easier use 0.2 20% of $25 25 x 0.20 = He would save $5.00. 5.00 20% = 0.20 25 x 0.2 2 0 0 5 1

16. Back to our original problem. Percents Target is having a sale on movies. Chris found the movie he wanted at a discounted price. He saved $8 off the original price of $25. What percent of the original price did he save? What are we looking for? The percent off. How do we find that?

17. Percents When we wanted to find the amount of the discount we multiplied the percent off by the original cost. So to find the percent of the discount we do the opposite. 20% of $25 25 x 0.20 = You would save $5.00. 5.00 20% = 0.20 25 x ______ = 8 What % If 25 x something = 8 then 8÷25 = that same something For ex: 6 x 4 = 24 so: 24÷6 = 4 4 4

18. Percents To find the percent of an amount when you know the original cost and the amount of the discount. Divide the discount by the original cost. So to find the percent of the discount we do the opposite. 25 x ______ = 8 What % If 25 x something = 8 then 8 /25 = that same something For ex: 6 x 4 = 24 so: 24/6 = 4 4 4 0.0.3 - 75 5 0 0 2 - 50 0

19. Percents 8/25 = 0.32 0.32 = 32% So, he is saving 32% off the cost of the movie.

20. Find the percent of the number 1. 7 is what percent of 35? 2.12 is what percent of 60? 3.50 is what percent of 75? 4.42 is what percent of 84? 5. 6 is what percent of 32? 20% 66.7% or 67% 50% 18.7% or 19%

21. Taking a Percent of an Amount. Michael went to buy a new video game for his Xbox 360. He found the game he wanted on sale for 35% off. The original cost was $49.99. What is the sale cost of the game before taxes? 35% of 49.99 49.99 x 0.35 = He would save $17.50. How much will the game cost? $49.99 - $17.50 = Turn the percent into a decimal and then multiply the decimal by the amount. 17.50 $32.49 35% = 0.35 49.99 x 0.35 9 53 7 4 0 0 0 00 4 + 95 99 0 5697 4 44 4 00 1 2 222 1 11 1

22. Warm Up – 2/6/09 Turn the percents into fractions. 1.79% = 2.12% = 3.56% = Turn the Decimals into Percents. 4.2.51 = 5.0.07 = 6.0.7 = 7.0.329 = 12 100 56 100 251% 7% 70% 32.9% or 33% 79 100 0.79 = 0.12 = 0.56 =