1. International System of Units (SI)
The Metric System
International System of Units (SI)

2. The Metric System
The metric system was developed in France in the 1790’s to bring order out of the conflicting systems being used in Europe

3. Why use the
METRIC SYSTEM?

4. Why Use The Metric System:
“world standard”
Just as English is the worldwide language of business, the metric system is the world's common language of measurement.

5. Take this test, 1 yd, 2 ft, 3-¼ in Why Use The Metric System:
Add the following:
1 yd, 2 ft, 3-¼ in

6. Take this test, 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in
Why Use The Metric System:
Take this test,
Add the following:
1 yd, 2 ft, 3-¼ in
+ 1 foot, 11-3/16 in

7. Take this test, 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in
Why Use The Metric System:
Take this test,
Add the following:
1 yd, 2 ft, 3-¼ in
+ 1 foot, 11-3/16 in
+ 2 ft, 5-1/2 in

8. Take this test, 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in
Why Use The Metric System:
Take this test,
Add the following:
1 yd, 2 ft, 3-¼ in
+ 1 foot, 11-3/16 in
+ 2 ft, 5-1/2 in
+ 3 yds, 1 foot, 6-5/8 in

9. Why Use The Metric System:
Take this test,
Now add these:
1.607 meters

10. Take this test, 1.607 meters + 0.589 meters Why Use The Metric System:
Now add these:
1.607 meters
meters

11. Take this test, 1.607 meters + 0.589 meters + 0.749 meters
Why Use The Metric System:
Take this test,
Now add these:
1.607 meters
meters
meters

12. Take this test, 1.607 meters + 0.589 meters + 0.749 meters
Why Use The Metric System:
Take this test,
Now add these:
1.607 meters
meters
meters
meters

13. Take this test, Why Use The Metric System:
The sums are actually EQUAL to one another (same length)!

14. Take this test, Why Use The Metric System: The answers:
6 yards, 2 feet, 2-9/16 in
6.161 meters

15. Why Use The Metric System:
Take this test,
Which one was easier?

16. Why Use The Metric System:
2) NO CONVERSIONS !

17. 2) NO CONVERSIONS ! Why Use The Metric System:
SI has only ONE unit for each quantity. This means that it is never necessary to convert from one unit to another & there are no conversion factors to memorize!
Ex. Yards to inches

18. Why Use The Metric System:
3) NO FRACTIONS!

19. 3) NO FRACTIONS! Why Use The Metric System:
SI uses decimals exclusively, eliminating clumsy fractions and mixed numbers

20. Since SI uses decimals, it
is based on powers of 10

21. TYPES OF METRIC MEASUREMENTS
Dimensional Measurement:
Length, width, & height~

22. TYPES OF METRIC MEASUREMENTS
Dimensional Measurement:
Length, width, & height~
The distance from one point to another

23. Dimensional Measurement:
Length, width, & height~
Basic metric unit: Meter

24. Dimensional Measurement:
Length, width, & height~
Basic metric unit: Meter
Instrument: metric ruler/meter stick

25. METRIC MEASUREMENTS
Mass:
The amount of matter (stuff) in an object

26. Mass:
Basic metric unit: Gram

27. Mass:
Basic metric unit: Gram
Instrument: triple beam balance

28. METRIC MEASUREMENTS
Volume:
The amount of space an object occupies

29. Volume:
Basic metric unit: Liter

30. Volume:
Basic metric unit: Liter
Instrument: graduated cylinder

31. Basic Units & Symbols
Meter m ex. 13 m

32. Basic Units & Symbols
Meter m ex. 13 m
Gram g ex. 156 g

33. Basic Units & Symbols Meter m ex. 13 m Gram g ex. 156 g
Liter l or L ex. 2 L

34. How are “variations” of the base units determined?

35. These are called “derived units.”

36. Derived units are arrived by multiplying or dividing the base units by various powers of ten.

37. This is simplified to simply adding a prefix to the base unit, thus changing its value.

38. ~increase the value of the Base Unit
Common Prefixes
~increase the value of the Base Unit

39. ~increase the value of the Base Unit
Common Prefixes
~increase the value of the Base Unit
Mega = 1,000,000 base units

40. ~increase the value of the Base Unit
Common Prefixes
~increase the value of the Base Unit
Mega = 1,000,000 base units
Kilo = 1,000 base units

41. ~increase the value of the Base Unit
Common Prefixes
~increase the value of the Base Unit
Mega = 1,000,000 base units
Kilo = 1,000 base units
Hecto = 100 base units

42. ~increase the value of the Base Unit
Common Prefixes
~increase the value of the Base Unit
Mega = 1,000,000 base units
Kilo = 1,000 base units
Hecto = 100 base units
Deca = 10 base units

43. ~decreases the value of the Base Unit
Common Prefixes
~decreases the value of the Base Unit

44. ~decreases the value of the Base Unit
Common Prefixes
~decreases the value of the Base Unit
deci = .1 or 1/10 base unit

45. ~decreases the value of the Base Unit
Common Prefixes
~decreases the value of the Base Unit
deci = .1 or 1/10 base unit
centi = .01 or 1/100 base unit

46. ~decreases the value of the Base Unit
Common Prefixes
~decreases the value of the Base Unit
deci = .1 or 1/10 base unit
centi = .01 or 1/100 base unit
milli = .001 or 1/1000 base unit

47. ~decreases the value of the Base Unit
Common Prefixes
~decreases the value of the Base Unit
deci = .1 or 1/10 base unit
centi = .01 or 1/100 base unit
milli = .001 or 1/1000 base unit
micro = or /1,000,000 base unit

48. Common Prefixes & their Symbols
mega M deci d
kilo k centi c
hecto h milli m
deca da micro μ

49. Metric Ladder Base Unit is the Starting point for ALL SI measures

50. Metric Ladder
M - mega
Base Unit

51. Metric Ladder M
k - kilo
Base Unit

52. Metric Ladder M k
h - hecto
Base Unit

53. Metric Ladder M k h
da - deca
Base Unit

54. Metric Ladder M These INCREASE the size/amt of the Base Unit k h
da - deca
Base Unit

55. Metric Ladder M k h da
Base Unit
d - deci

56. Metric Ladder M k h da
Base Unit d
c - centi

57. Metric Ladder M k h da
Base Unit d c
m - milli

58. Metric Ladder M k h da
Base Unit d c m
μ –
micro

59. Metric Ladder M k h da Base Unit d c
These DECREASE the size/amt of the Base Unit m μ

60. Metric Ladder M
To convert to a larger unit, move decimal point to the left one place for each step k h da
Base Unit d c m μ

61. Metric Ladder M Convert: k 123.45 cm = _____ dam h da Base Unit d c mμ

62. Metric Ladder M Convert: k 123.45 cm = _____ dam h da Base Unit d c
STEP 1:
FIND WHERE TO BEGIN m μ

63. Metric Ladder M Convert: 123.45 cm = _____ dam k h da Base Unit d c
STEP 1:
FIND WHERE TO BEGIN cm m μ

64. Metric Ladder Convert: M 123.45 cm = _____ dam k h da Base Unit d c
STEP 2:
FIND WHERE TO END
= _____ dam m μ

65. Metric Ladder M Convert: k 123.45 cm = _____ dam h da BU d c STEP 3:
Count # of steps from start to end m μ

66. Metric Ladder 1 M Convert: k 123.45 cm = _____ dam h da BU d c STEP 3:
Count # of steps from start to end m μ

67. Metric Ladder 2 1 M Convert: 123.45 cm = _____ dam k h da BU d c
STEP 3:
Count # of steps from start to end m μ

68. Metric Ladder 3 2 1 M Convert: 123.45 cm = _____ dam k h da BU d c
STEP 3:
Count # of steps from start to end m μ

69. Metric Ladder
STEP 4:
Now, move the decimal ONE place FOR EACH STEP on the ladder you took to get from the starting unit to the ending unit.

70. Metric Ladder
Step 4 continued…
Move in the same direction you moved on the ladder.

71. Metric Ladder 3 2 1 M Convert: 123.45 cm = _____ dam k h da BU d c
To move from c to da you must move to the decimal LEFT…3 places! m μ

72. Metric Ladder cm

73. Metric Ladder cm 1

74. Metric Ladder cm 2 1

75. Metric Ladder cm 3 2 1

76. Metric Ladder cm 3 2 1
dam

77. What if there is NO decimal in my number???
Metric Ladder
What if there is NO decimal in my number???
Example: 375

78. The decimal is put at the END of the number…
Metric Ladder
Example: 375
Solution:
The decimal is put at the END of the number…
375.0

79. Metric Ladder M
To convert to a smaller unit, move decimal point to the right one place for each step. k h da
Base Unit d c m μ

80. Metric Ladder M
Convert:
14 Mg = ______ hg k h da
Base Unit d c m μ

81. Metric Ladder M Convert: k 14 Mg = ______ hg h da Base Unit d
Now, follow the steps just like before!
STEP 1:
FIND WHERE TO BEGIN c m μ

82. Metric Ladder M Convert: 14 Mg = ______ hg k h da Base Unit d c
STEP 1:
FIND WHERE TO BEGIN
14 Mg m μ

83. Metric Ladder M Convert: 14 Mg = ______ hg k h da Base Unit d c
STEP 2:
FIND WHERE TO END
= ______ hg m μ

84. Metric Ladder M Convert: 14 Mg = ______ hg k h da Base Unit d c
STEP 3:
Count # of steps from start to end m μ

85. Metric Ladder M Convert: 14 Mg = ______ hg k h da Base Unit d c
STEP 3:
Count # of steps from start to end m μ

86. 1 Metric Ladder M Convert: k 14 Mg = ______ hg h da Base Unit d c
STEP 3:
Count # of steps from start to end m μ

87. 1 Metric Ladder 2 M Convert: k 14 Mg = ______ hg h da Base Unit d c
STEP 3:
Count # of steps from start to end m μ

88. Metric Ladder
STEP 4:
Now, move the decimal ONE place FOR EACH STEP on the ladder you took to get from the starting unit to the ending unit.

89. Metric Ladder
Step 4 continued…
Move in the same direction you moved on the ladder.

90. 1 Metric Ladder 2 M Convert: 14 Mg = ______ hg k h da Base Unit d c
To move from M to h you must move to the decimal RIGHT…2 places! m μ

91. Metric Ladder Mg

92. Metric Ladder Mg 1

93. Metric Ladder Mg 1 2

94. Metric Ladder Mg 1 2 hg

95. Now let’s try some conversions!