1. Conversion Factors Changing the Units Used in Measurements

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3.  The correct factors enable us to convert from one unit of measure to another.

4.  Some basic principles will guide us through this process.  The correct factors enable us to convert from one unit of measure to another.  Some basic principles will guide us through this process.

5. Identity Property of Multiplication

6. Multiplying by 1 in any form will not change the value of a number. Multiplying by 1 in any form will not change the value of a number.

7. Identity Property of Multiplication Multiplying by 1 in any form will not change the value of a number. Multiplying by 1 in any form will not change the value of a number.

8. Identity Property of Multiplication Multiplying by 1 in any form will not change the value of a number. Multiplying by 1 in any form will not change the value of a number.

9. Examples of Equal Measures

10. 12 inches = 1 foot

11. Examples of Equal Measures 12 inches = 1 foot 2 pints = 1 quart 12 inches = 1 foot 2 pints = 1 quart

12. Examples of Equal Measures 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters

13. Examples of Equal Measures 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter

14. Examples of Equal Measures 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter 60 seconds = 1 minute 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter 60 seconds = 1 minute

15. Examples of Equal Measures 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter 60 seconds = 1 minute 60 minutes = 1hour 12 inches = 1 foot 2 pints = 1 quart 1 decimeter = 10 centimeters 100 centimeters = 1 meter 60 seconds = 1 minute 60 minutes = 1hour

16.  Fractions with units can equal 1.

17.  These fractions have equal values in the numerator and the denominator, but use different units of measure.  Fractions with units can equal 1.  These fractions have equal values in the numerator and the denominator, but use different units of measure.

23. Reciprocals

24.  A reciprocal is formed when the numerator and the denominator of a fraction switch places.

25. Reciprocals  A reciprocal is formed when the numerator and the denominator of a fraction switch places.

26. Reciprocals  A reciprocal is formed when the numerator and the denominator of a fraction switch places.

27. When Numerator Equals Denominator  When the numerator equals the denominator, a reciprocal will equal the original fraction.

29.  Notice that these fractions equal 1 with no units attached.

30.  Also important is that the reciprocals also equal 1.  Notice that these fractions equal 1 with no units attached.  Also important is that the reciprocals also equal 1.

32. Cancellation

33.  Factors appearing in the numerator and denominator cancel.

34. Cancellation  Factors appearing in the numerator and denominator cancel.

35. Cancellation  Factors appearing in the numerator and denominator cancel.

36. Cancellation  Factors appearing in the numerator and denominator cancel.

37. Cancellation  Factors appearing in the numerator and denominator cancel.

38. Cancellation  Factors appearing in the numerator and denominator cancel.

39. Cancellation  Factors appearing in the numerator and denominator cancel.

40. Units CAN Cancel, Too

45. Put it all together.

47. Practical Plan:

48.  Start out with what you know.

49. Practical Plan:  Start out with what you know.  Arrange factors so units will cancel.  Start out with what you know.  Arrange factors so units will cancel.

50. Practical Plan:  Start out with what you know.  Arrange factors so units will cancel.  Group numbers and list final units.  Start out with what you know.  Arrange factors so units will cancel.  Group numbers and list final units.

51. Practical Plan:  Start out with what you know.  Arrange factors so units will cancel.  Group numbers and list final units.  Perform arithmetic and report answer.  Start out with what you know.  Arrange factors so units will cancel.  Group numbers and list final units.  Perform arithmetic and report answer.

52. Practical Plan:

53. Start out with what you know. How many inches are in 1 yard ?

54. Start out with what you know. How many inches are in 1 yard ?

55. Arrange factors so units will cancel. How many inches are in 1 yard ?

56. Arrange factors so units will cancel. How many inches are in 1 yard ?

57. Arrange factors so units will cancel. How many inches are in 1 yard ?

58. Arrange factors so units will cancel. How many inches are in 1 yard ?

59. Group numbers and list final units. How many inches are in 1 yard ?

60. Group numbers and list final units. How many inches are in 1 yard ?

61. Group numbers and list final units. How many inches are in 1 yard ?

62. Perform math and report answer. How many inches are in 1 yard ?

63. You can do it now!

64. Work each problem before looking at the answers.

65. Success Next Exit How many feet / second in 70 miles / hour ?

66. 70 mph = ? ft / sec

67. Class Assignment / How many liters in 750 cubic centimeters?

68. 750 = ? liters

69. Extra For Experts How many cubic centimeters are in one cubic decimeter?

70. Changing units with exponents FGroup unit with parentheses FConvert units normally inside parentheses FRaise numbers and units to power FFinish normally FGroup unit with parentheses FConvert units normally inside parentheses FRaise numbers and units to power FFinish normally

71. Group units with parentheses

73. Convert units inside parentheses

75. Raise numbers and units to power

77. Finish normally

78. Congratulations! You have just finished the presentation. Your comments would be appreciated.