1. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 7 1. 15 48 2. 22 8 3. 18 8 4. - 12

2. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 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. Complete on your homework. 48 2. 22

5. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 48 4 2 2. 22 = 2 22 = 2 11 = 2.18

6. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 8 3. 18

7. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 8 4 3. 18 = 9 = 0.4 0.44 9 ) 4.00 -36 40 -36 4

8. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 8 4. - 12

9. 5 Minute Check Write each fraction as a decimal. Use bar notation if needed. Complete on your homework. 8 2 4. - 12 = - 3 = - 0.6 0.66 3 ) 2.00 -18 20 -18 2

10. Friday, April 24 Lesson 7.4.2 Compare and Order Rational Numbers

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

12. Compare and Order Rational Numbers A Rational Number is any number that can be written as a fraction. That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.

13. Compare and Order Rational Numbers

14. Is the number 1.4 a rational number?

15. Compare and Order Rational Numbers

16. A common denominator is a common multiple of the denominators of two or more fractions.

17. Compare and Order Rational Numbers A common denominator is a common multiple of the denominators of two or more fractions. The least common denominator or LCD is the LCM or least common multiple of the denominators of one or more fractions.

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

19. Compare and Order Rational Numbers Rule #1- A negative number is always less than any positive number. Rule #2 – When comparing fractions, the denominators must be the same. Then just compare the numerators. (Or you can convert both to a decimal and compare.)

20. Compare and Order Rational Numbers 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.

21. Compare and Order Rational Numbers If you had a 30 in the denominator, would the decimal equivalent be repeating? If so, why?

22. Compare and Order Rational Numbers If you had a 30 in the denominator, would the decimal equivalent be repeating? If so, why? Because the factors of the denominator are 3· 3 · 5. Any time there is a factor of 3 in the denominator there is a repeating decimal.

23. Compare and Order Rational Numbers Can you give an example of a fraction that converts to a repeating decimal with a denominator that does not have a factor of 3?

24. Compare and Order Rational Numbers

39. Bonus points to the first student on Monday that can come up with a rule for 13, 15, 17, or 19 (if there is one) in the denominator. Write out a detailed explanation to get the extra credit. And yes, you can use a calculator for this.

40. Compare and Order Rational Numbers

47. In Mr. Huang’s class, 20% of students own roller skates. In Mrs. Trevino’s class, 6 out of 27 students own roller skates. Which class has the greater fraction of students who own roller skates?

48. Compare and Order Rational Numbers

49. In a second period class, 37.5% of students like to bowl. In a fifth period class, 12 of 33 student like to bowl. In which class does a greater fraction of the students like to bowl?

50. Compare and Order Rational Numbers

55. Elliot and Shanna are both soccer goalies. Elliot saved 3 goals out of 4. Shanna saved 7 goals out of 11. Who has the better average?

56. Compare and Order Rational Numbers

57. Determine whether the following statement is always, sometimes or never true. Give examples to justify your answer. If x and y are both greater than zero and x > y, then -x < -y.

58. Compare and Order Rational Numbers Determine whether the following statement is always, sometimes or never true. Give examples to justify your answer. If x and y are both greater than zero and x > y, then -x < -y. Always, the number to the right on a number line is always the greater number. Let x = 3, y = 2. x > y -x < -y 3 > 2 is true -3 < -2 is true

59. Compare and Order Rational Numbers Explain why 0.33 is less than 0.3.

60. Compare and Order Rational Numbers Explain why 0.33 is less than 0.3. The thousandths place in the first decimal is 0. The thousandths place in the second decimal is a 3, since 0 < 3, then 0.33 <.3

61. Compare and Order Rational Numbers Explain why -0.33 is greater than -0.3.

62. Compare and Order Rational Numbers Explain why -0.33 is greater than -0.3. The thousandths place in the first decimal is 0. The thousandths place in the second decimal is a -3, since 0 > -3, then -0.33 > -0.3

63. Compare and Order Rational Numbers Agenda Notes No Homework – Homework Practice 7.4.2 Odd number problems only! Due by the end of the period Circle all answers and show all work Blizzard Bag #3 is due today Mid-Chapter 7.4 Quiz -Thursday, April 30