1. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 5 2. - 2 22 Write each decimal as a fraction. 3. - 0.15 4. – 7.75 5. 12.54

2. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15

3. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 = 0.46 0.46 15 ) 7.000 -60 100 -90 100

4. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 5 2. - 2 22

5. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 5 2. - 2 22 = - 2.227 0.227 22 ) 5.000 -44 60 -44 160 -154 6

6. 5 Minute Check Write each decimal as a fraction. 3. - 0.15

7. 5 Minute Check Write each decimal as a fraction. 15 3 3. - 0.15 = - 100 = - 20

8. 5 Minute Check Write each decimal as a fraction. 4. – 7.75

9. 5 Minute Check Write each decimal as a fraction. 75 3 4. – 7.75 = - 7 100 = - 7 4

10. 5 Minute Check Write each decimal as a fraction. 5. 12.54

11. 5 Minute Check Write each decimal as a fraction. 54 27 5. 12.54 = 12 100 =12 50

12. Monday, Nov 11 Lesson 5.5 Compare and Order Rational Numbers

13. Objective: To understand how to compare and order all rational numbers.

14. Compare and Order Rational Numbers At the end of this lesson you should be able to answer the following question. How do we compare fractions and decimals?

15. Compare and Order Rational Numbers The number line can be used to compare and order all rational numbers. A negative number is always less than a positive number.

16. Compare and Order Rational Numbers Rule #1- A negative number is always less than a positive number.

17. Compare and Order Rational Numbers Rule #1- A negative number is always less than a positive number. Rule #2 – When comparing fractions, the denominators must be the same. Then just compare the numerators.

18. Compare and Order Rational Numbers Rule #1- A negative number is always less than a positive number. Rule #2 – When comparing fractions, the denominators must be the same. Then just compare the numerators. Rule #3 – When comparing a decimal and a fraction, one form must be converted to the other. Either convert the fraction to a decimal or vice versa.

19. Compare and Order Rational Numbers Write an inequality with -1.2 and 0.8

20. Compare and Order Rational Numbers Write an inequality with -1.2 and 0.8 -1.2 < 0.8 -1.2 0.8 Since -1.2 is negative and 0.8 is positive, 0.8 must be greater.

21. Compare and Order Rational Numbers Write an inequality with -1.40 and -1.25

22. Compare and Order Rational Numbers Write an inequality with -1.40 and -1.25 -1.40 < -1.25 -1.40 -1.25 Since -1.25 is to the right of -1.40 it is greater.

23. Compare and Order Rational Numbers 3 5 Which is greater - 8 or - 16 ? How do we do this?

24. Compare and Order Rational Numbers 3 5 Which is greater - 8 or - 16 ? Rule #2 – When comparing fractions, the denominators must be the same. Then just compare the numerators. How can we make the denominators the same?

25. Compare and Order Rational Numbers 3 5 Which is greater - 8 or - 16 ? 3 x 2 5 - 8 x 2 - 16 6 5 - 16 < - 16

26. Compare and Order Rational Numbers 7 4 10 5 Can we multiply the smaller denominator by something to get the larger denominator?

27. Compare and Order Rational Numbers 7 4 10 5 Can we multiply the smaller denominator by something to get the larger denominator? Yes, 5 x 2 = 10.

28. Compare and Order Rational Numbers 7 4 10 5 7 4 x 2 10 5 x 2 7 8 10 < 10

29. Compare and Order Rational Numbers 8 - 0.51 -15 How do we do this?

30. Compare and Order Rational Numbers 8 - 0.51 -15 Rule #3 – When comparing a decimal and a fraction, one form must be converted to the other. Either convert the fraction to a decimal or vice versa. Which do we convert?

31. Compare and Order Rational Numbers 8 - 0.51 -15 0.53 We can stop here, why? 15 ) 8.00 -75 50 -45

32. Compare and Order Rational Numbers 8 - 0.51 -15 0.53 Because the second digit is different. 15 ) 8.00 -75 50 -45 -.051 > - 0.53

33. Compare and Order Rational Numbers - 3 -3.625 Do this on your own.

34. Compare and Order Rational Numbers - 3 -3.625 0.625 8 ) 5.000 -48 20 -16 40 -40 0 -3.625 = -3.625

35. Compare and Order Rational Numbers 0.413 Do this on your own.

36. Compare and Order Rational Numbers 0.413 0.42 I can stop here, why? 7 ) 3.00 -28 20 -14 6

37. Compare and Order Rational Numbers 0.413 0.42 Because the second digit is different. 7 ) 3.00 -28 20 -14 6

38. Compare and Order Rational Numbers 0.413 0.42 > 0.413, so > 0.413

39. Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25, -2 10 } Do this on your own.

40. Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25, -2 10 } 22 x 4 88 22 88 25 x 4 = 100, so -2 25 = -2 100 = -2.88 1 x 10 10 1 10 10 x 10 = 100, so -2 10 = -2 100 = -2.10

41. Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25, -2 10 } 22 x 4 88 22 88 25 x 4 = 100, so -2 25 = -2 100 = -2.88 1 x 10 10 1 10 10 x 10 = 100, so -2 10 = -2 100 = -2.10 22 1 -2 25, -2.46, -2 10

42. Compare and Order Rational Numbers How do we compare fractions and decimals?

43. Compare and Order Rational Numbers Agenda Notes Homework – Homework Practice 5-5 Due Tuesday, Nov 12 Chapter 5 Test –Friday, Nov 15 After School Help Session Thursday, Nov 14 – 2:15 – 3PM