2. Area of Focus: The Metric System. Area of Focus: The Metric System. Copyright © 2010 Ryan P. Murphy

3. A nickel is worth this many pennies? A nickel is worth this many pennies?

10. One Meter One Meter

11. 1 meter has 100 centimeters 1 meter has 100 centimeters

13. 10 mm 100

14. 1 meter has 1000 millimeters 1 meter has 1000 millimeters 10 mm

15. 1 meter has 1000 millimeters 1 meter has 1000 millimeters 10 mm

16. 1 meter has 1000 millimeters 1 meter has 1000 millimeters 10 mm 1000

17. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

18. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

19. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

20. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

21. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

22. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

23. The Metric System : A measurement system based on the powers of ten. The Metric System : A measurement system based on the powers of ten. Copyright © 2010 Ryan P. Murphy

24. The simplicity of the metric system stems from the fact that there is only one unit of measurement (or base unit) for each type of quantity measured (length, mass, etc.). Copyright © 2010 Ryan P. Murphy

25. “I am 1828.80 mm tall.” “I am 182.80 cm tall.” “I am 1.8280 meters tall.” “I am.001828 km tall.” Copyright © 2010 Ryan P. Murphy

26. “I am 1828.80 mm tall.” “I am 182.80 cm tall.” “I am 1.8280 meters tall.” “I am.001828 km tall.” Copyright © 2010 Ryan P. Murphy

27. You can measure the very small and the very large with the same unit. (Meter) Copyright © 2010 Ryan P. Murphy

28. You can measure the very small and the very large with the same unit. (Meter) Copyright © 2010 Ryan P. Murphy Larger Smaller

29. Copy this To remember the prefixes in order, you can use the following sentence: King Henry Doesn't [Usually] Drink Chocolate Milk kilo- hecto- deka- [unit] deci- centi- milli-

30. You can measure the very small and the very large with the same unit. (Meter) Copyright © 2010 Ryan P. Murphy

31. You can measure the very small and the very large with the same unit. (Meter) Copyright © 2010 Ryan P. Murphy Copy this in Notes

32. How many millimeters are in 5.3 meters? 5.3 meters  mm

33. How many millimeters are in 5.3 meters? 5.3 meters  mm

34. How many millimeters are in 5.3 meters? 5.3 meter  mm

35. How many millimeters are in 5.3 meters? 5.3 meter  mm (3 steps, so 10 x10 x10) 5.3 x 1000 =

36. How many millimeters are in 5.3 meters? 5.3 meter  mm 5.3 x 1000 =5300mm

37. How many kilometers are in 5.3 meters?

38. 5.3 meter  km

39. How many kilometers are in 5.3 meters? 5.3 meter  km

40. How many kilometers are in 5.3 meters? 5.3 meter  km (3 steps, so 10 x10 x10) 5.3 / 1000 =.0053km

41. How many kilometers are in 5.3 meters? 5.3 meter  km 5.3 / 1000 =.0053km

42. Try this one! How many centimeters are in 1.29 meters? 1.29 meter  cm

43. How many centimeters are in 1.29 meters? 1.29 meter  cm

44. How many centimeters are in 1.29 meters? 1.29 meter  cm

45. How many centimeters are in 1.29 meters? 1.29 meter  cm 1.29 X 100 =

46. How many centimeters are in 1.29 meters? 1.29 meter  cm 1.29 X 100 = 129cm

47. Try this: How many Hectometers are in 4.4 meters?

48. How many Hectometers are in 4.4 meters? 4.4 / 100 =.044 h

49. The ratios we created are called unit factors because they are equivalent to 1 unity.

50. –Any number multiplied by 1 will be equal to itself.

51. The ratios we created are called unit factors because they are equivalent to 1 unity. –Any number multiplied by 1 will be equal to itself. –As a result, we can multiply any quantity by a unit factor to change the unit of measure without changing the physical quantity.

52. The ratios we created are called unit factors because they are equivalent to 1 unity. –Any number multiplied by 1 will be equal to itself. –As a result, we can multiply any quantity by a unit factor to change the unit of measure without changing the physical quantity.

53. .

54. .

55. .

56. .

57. rite the conversion as a fraction.

58. rite the conversion as a fraction ultiply ancel units from the top and bottom.

59. rite the conversion as a fraction ultiply ancel units from the top and bottom.

60. How many pennies is 15 nickels?

62. 15 Nickels

63. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 1 Nickel

64. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 1 Nickel

65. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 1 Nickel

66. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 75 1 Nickel

67. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 75 1 Nickel

68. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 75 1 Nickel

69. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 75 1 Nickel

70. How many pennies is 15 nickels? 5 pennies 15 Nickels x --------------- = 75 Pennies 1 Nickel

71. How many quarters are in 16 dollars?

74. 16 dollars x ------------- =

75. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 1 dollar

76. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 1 dollar

77. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 64 1 dollar

78. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 64 1 dollar

79. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 64 1 dollar

80. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 64 1 dollar

81. How many quarters are in 16 dollars? 4 quarters 16 dollars x ------------- = 64 quarters 1 dollar

82. Let’s convert 5 km to meters correctly. 1000 m ----------------- = 1 1 km

83. Let’s convert 5 km to meters correctly. 1000 m ----------------- = 1 1 km

84. Let’s convert 5 km to meters correctly. 1000 m ----------------- = 1 1 km

85. Let’s convert 5 km to meters correctly.

86. 1000m 5000 km x m 5 km ------------ = 1 km km

87. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = 1 km km

88. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = 1 km km

89. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = ------------- 1 km km

90. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = ------------- 1 km km

91. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = ------------- 1 km km

92. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = ------------- 1 km km

93. Let’s convert 5 km to meters correctly. 1000m 5000 km x m 5 km ------------ = ------------- 1 km km

94. Let’s convert 5 km to meters correctly. 1000m 5 km ------------ = 5000 m 1 km

99. Video Link! Unit Conversions –https://www.youtube.com/watch?v=XKCZn5M LKvkhttps://www.youtube.com/watch?v=XKCZn5M LKvk

100. Summarizer

101. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters

102. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters

103. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters

104. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m ------------ x ---------------- = 1 hour 1 mile

105. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m ------------ x ---------------- = 1 hour 1 mile

106. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m ------------ x ---------------- = 1 hour 1 mile

107. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 ------------ x ---------------- = -------------- 1 hour 1 mile 1

108. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 ------------ x ---------------- = -------------- 1 hour 1 mile 1

109. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 ------------ x ---------------- = -------------- 1 hour 1 mile 1

110. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 meters ------------ x ---------------- = -------------- 1 hour 1 mile 1 hour

111. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 meters ------------ x ---------------- = -------------- 1 hour 1 mile 1 hour

112. A car is driving 65 miles per hour (mph), how fast is it driving in meters per second (m/s)? 1 mile = 1609.34 meters 65 miles 1609.34 m 104607.1 meters ------------ x ---------------- = -------------- 1 hour 1 mile 1 hour

113. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

114. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

115. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

116. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

117. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

118. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

119. 104607.1 m 1 hour 1 min ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec

120. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60

121. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60

122. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60

123. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60

124. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60

125. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60 104607.1 -------------- = 29.05 m/s 60 x 60

126. 104607.1 m 1 hour 1 min 104607.1 ----------------- x ------------ x ---------- = -------------- 1 hour 60 min 60 sec 60 x 60 104607.1 -------------- = 29.05 m/s 60 x 60

127. IMAX Cosmic Voyage Link to the Powers of 10 portion of video. –http://www.youtube.com/watch?v=qxXf7AJZ7 3Ahttp://www.youtube.com/watch?v=qxXf7AJZ7 3A Copyright © 2010 Ryan P. Murphy

128. Link! Size Scale of the Universe (Flash) –http://inciswf.com/589217_scale_of_universe_ enhanced.swfhttp://inciswf.com/589217_scale_of_universe_ enhanced.swf

130. How many kilometers away from the earth is the sun?

131. Answer! 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

132. Scientific notation: A method for expressing, and working with, very large or very small numbers. Scientific notation: A method for expressing, and working with, very large or very small numbers. Copyright © 2010 Ryan P. Murphy

133. Scientific notation: A method for expressing, and working with, very large or very small numbers. Scientific notation: A method for expressing, and working with, very large or very small numbers. Copyright © 2010 Ryan P. Murphy

134. To write a number in scientific notation: To write a number in scientific notation: Put a decimal point after the first digit and drop the zeroes. Put a decimal point after the first digit and drop the zeroes. 146,000,000 = 1.46 146,000,000 = 1.46 Copyright © 2010 Ryan P. Murphy

135. To write a number in scientific notation: To write a number in scientific notation: Put a decimal point after the first digit and drop the zeroes. Put a decimal point after the first digit and drop the zeroes. 146,000,000 = 1.46 146,000,000 = 1.46 Copyright © 2010 Ryan P. Murphy

136. To write a number in scientific notation: To write a number in scientific notation: Put a decimal point after the first digit and drop the zeroes. Put a decimal point after the first digit and drop the zeroes. 146,000,000 = 1.46 x 10 8 146,000,000 = 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

137. To find the exponent, count the number of places from the decimal to the end of the numbers. To find the exponent, count the number of places from the decimal to the end of the numbers. In 1.46000000 there are 8 places. In 1.46000000 there are 8 places. 1 Therefore we write 146,000,000 as 1.46 x 10 8 Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

138. To find the exponent, count the number of places from the decimal to the end of the numbers. To find the exponent, count the number of places from the decimal to the end of the numbers. In 1.46000000 there are 8 places. In 1.46000000 there are 8 places. Therefore we write 146,000,000 as 1.46 x 10 8 Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

139. To find the exponent, count the number of places from the decimal to the end of the numbers. To find the exponent, count the number of places from the decimal to the end of the numbers. In 1.46000000 there are 8 places. In 1.46000000 there are 8 places. Therefore we write 146,000,000 as 1.46 x 10 8 Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

140. To find the exponent, count the number of places from the decimal to the end of the numbers. To find the exponent, count the number of places from the decimal to the end of the numbers. In 1.46000000 there are 8 places. In 1.46000000 there are 8 places. 12345678 12345678 Therefore we write 146,000,000 as 1.46 x 10 8 Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

141. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.46000000 there are 8 places. –Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy

142. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.46000000 there are 8 places. –Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy The first number 1.46 is called the coefficient. It must be greater than or equal to 1 and less than 10

143. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.46000000 there are 8 places. –Therefore we write 146,000,000 as 1.46 x 10 8 Copyright © 2010 Ryan P. Murphy The first number 1.46 is called the coefficient. It must be greater than or equal to 1 and less than 10 The second number is called the base. It must always be 10 in scientific notation. The base number 10 is always written in exponent form.

144. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.46000000 there are 8 places. –Therefore we write 146,000,000 as 1.46 x 10 8 Note that the places start after the decimal point. Copyright © 2010 Ryan P. Murphy

145. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.46000000 We don’t just add 8 zero’s after the six! Copyright © 2010 Ryan P. Murphy

146. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.4600000000 We don’t just add 8 zero’s after the six! Copyright © 2010 Ryan P. Murphy

147. To find the exponent, count the number of places from the decimal to the end of the numbers. –In 1.4600000000 We don’t just add 8 zero’s after the six! Copyright © 2010 Ryan P. Murphy

148. Other Option: Please use the white boards and dry erase markers to show your answer. –You will make errors in the beginning but keep with it and don’t check out. Copyright © 2010 Ryan P. Murphy

149. Activity! Practice Scientific Notation. Copyright © 2010 Ryan P. Murphy

150. Activity! Practice Scientific Notation. –What is 567,000 in scientific notation? Copyright © 2010 Ryan P. Murphy

151. 567000 5.67000 5.67

152. 567000 5.67000 5.67

153. 567000 5.67000 5.67 x 10 5

154. Activity! Scientific Notation Practice. –What is 250,000 in scientific notation? Copyright © 2010 Ryan P. Murphy

155. 250,000 = 2.50000 Copyright © 2010 Ryan P. Murphy

156. 250,000 = 2.50000 = 2.5 x 10_ Copyright © 2010 Ryan P. Murphy

157. 250,000 = 2.50000 = 2.5 x 10_ Copyright © 2010 Ryan P. Murphy

158. 250,000 = 2.50000 = 2.5 x 10 5 Copyright © 2010 Ryan P. Murphy

159. 250,000 = 2.50000 = 2.5 x 10 5 Copyright © 2010 Ryan P. Murphy

160. –This is the distance from Earth to the nearest star Proxima Centauri. Copyright © 2010 Ryan P. Murphy

161. What is 40,100,000,000,000 in scientific notation? –This is the distance from Earth to the nearest star Proxima Centauri. Copyright © 2010 Ryan P. Murphy

162. Answer! 40,100,000,000,000 Copyright © 2010 Ryan P. Murphy

163. Answer! 40,100,000,000,000 = 4.01 x 10 13 Copyright © 2010 Ryan P. Murphy