2. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

3. Splash Screen

4. Example 8-4b Objective Compare and order fractions, decimals and percents

5. Example 8-4b Vocabulary Common denominator A common multiple of the denominators of two or more fractions

6. Example 8-4b Vocabulary Least common denominator (LCD) The least common multiple (LCM) of the denominators

7. Lesson 8 Contents Example 1Compare Fractions Example 2Compare Ratios Example 3Order Ratios Example 4Identify Rational Numbers

8. Example 8-1a GRADES Enrique and his younger brother both had a math test last Friday. Enrique scored 48 points out of 60 and his brother scored 55 points out of 75. Who got the better score, Enrique or his brother? Enrique: Brother: Answer: Enrique got the better score. Write both ratios 1/4 Enrique scored 48 points out of 60 Convert each ratio to a decimal his brother scored 55 points out of 75 0.80 is greater than 0.73

9. Example 8-1b HOCKEY During the hockey season, Kyle scored 14 goals out of 24 shots taken and his teammate David scored 18 goals out of 30 shots taken. Who had the higher scoring percentage? Answer: David had the higher score 1/4

10. Example 8-2a DOGS According to the Pet Food Manufacturer’s Association, 11 out of 25 people own large dogs and 13 out of 50 people own medium dogs. Do more people own large or medium dogs? Answer: More people own large dogs 2/4 Write both ratios 11 out of 25 people large dogs Large dogs 13 out of 50 people Medium dogs medium dogs Convert each ratio to a decimal 0.44 is greater than 0.26

11. Example 8-2b SEASONS A survey showed that 21 out of 50 people stated that summer is their favorite season and 13 out of 25 people stated that fall is their favorite season. Do more people prefer summer or fall? Answer: More people prefer fall 2/4

12. Example 8-3a Answer: Write each number vertically 3/4 0.6 72% Convert to and line up the decimals 0.70 0.60 0.72 Compare the decimals beginning with the tenths digit 6 is smaller than 7 so 0.6 is the smallest number Since 7 = 7, compare the hundredths digit

13. Example 8-3a Answer: 3/4 0.6 72% 0.70 0.60 0.72 0 is smaller than 2 so is smaller than 72%

14. Example 8-3b Answer: 3/4

15. Example 8-4a MULTIPLE-CHOICE TEST ITEM Find the number that is rational. A 0.12345…B 0.123123C  D 0.102030… 4/4 A rational number has a terminating or repeating decimal 0.12345... The ellipsis indicates a repeating decimal so is rational 0.123123 123 is repeating in the decimal so is rational  does not terminate nor repeat so is irrational 

16. Example 8-4a MULTIPLE-CHOICE TEST ITEM Find the number that is rational. A 0.12345…B 0.123123C  D 0.102030… 4/4 A rational number has a terminating or repeating decimal 0.12345... The ellipsis indicates the number continues but does not repeat so is not irrational 0.123123 123 is repeating in the decimal so is rational  does not terminate nor repeat so is not rational  The ellipsis indicates the number continues but does not repeat so is not rational 0.102030... Answer: B

17. Example 8-4b Answer: D MULTIPLE-CHOICE TEST ITEM Find the number that is not rational. A 0.121212… B 0.75 C D 0.61626364… * 4/4

18. End of Lesson 8 Assignment Lesson 5:8Comparing and Ordering13 - 34 All Rational Numbers