The Metric System And How America is Crazy

5.1 Basic Terms and Conversions Measurements: Meter (m): length Kilogram (kg): mass Liter (l): volume degree Celsius (˚C): temperature

5.1 Prefixes kilo (k) times hecto (h) times deka (da) - 10 times deci (d) - 1/10 centi (c) - 1/100 milli (m) - 1/1000

5.1 Examples with Prefixes Base unit: meter 1 kilometer = 1000 meters 1 centimeter = 1/100 meter or: 100 centimeters = 1 meter 1 millimeter = 1/1000 meter or: 1000 millimeters = 1 meter

5.1 Example 1 p178 a) Convert m to km m1 km 1000 m

5.1 Example 1 p178 b) Convert 14 g to cg 14 g1 cg 100 g

5.1 Example 1 p178 c) Convert 0.76 l to ml 0.76 l1000 ml 1 l

5.1 Example 1 p178 d) Convert 240 dal to kl 240 dal10 l1 kl 1 dal1000 l

5.1 Example 4 p180 Arrange in order from smallest to largest length: 3.4 m, 3421 mm, and 104 cm. 3.4 m 1000 mm3400 mm 1 m 104 cm1 m1000 mm1040 mm 100 cm1 m

5.1 Practice Problems Turn to p180 (474 for Brook) Choose one of the following problems: 17, 35, 37, 39, 41 Vote on which problems you’d like to see done! If two problems are close-to-tied, we’ll do both.

5.1 Practice Problems Turn to p180 (474 for Brook) Choose one of the following problems: 45, 47, 49, 51, 65 Vote on which problems you’d like to see done! If two problems are close-to-tied, we’ll do both.

5.2 Length, Area, and Volume Length: cm, m, km, etc. Area: cm², m², km², etc. Volume: cm³, m³, km³, etc.

5.2 Example 1 p185 Determine which metric unit of length you would use to express the following a) The height of the Ted Williams statue in the photo. b) The length of your arm

5.2 Example 1 p185 c) The length of a flea d) The height of the Sears Tower e) The diameter of a half-dollar f) The distance between Amarillo and Detroit g) The diameter of a round trashcan

5.2 Area Area of a rectangle = length x width 5 cm 8 cm Area = 5 cm x 8 cm = 40 cm²

5.2 Large Areas Hectare = 100 m x 100 m Hectare ≈ 2.5 acres 1 mi² ≈ 260 Hectares Square kilometer = 1 km x 1 km 1 km² ≈ 4/10 mi²

5.2 Converting Square Units Example 3 p186 A square meter is how many times as large as a square centimeter? 1 m²100 cm 1 m

5.2 Volume Volume of a rectangular prism = length x width x height 5 cm 2 cm 4 cm Volume = 4 cm x 2 cm x 5 cm = 40 cm³

5.2 Practice Problems Turn to p194 (488 for Brook) #109 a) Determine the area Area = 62.4 m x 50.5 m = m²

5.2 Practice Problems p194 #109 b) If 1 m² = ha, determine the area in hectares m² ha 1 m²

5.3 Mass and Temperature Mass = Amount of Matter Metric Tonne = 1000 kg Used for very heavy items mg is common in medicine Take note if you’re in the medical field... the metric system is a good final project topic!

5.3 Mass Example 1 p197: Choose the appropriate units a) A one-year-old child b) An orca whale c) A teaspoon d) A box of cereal

5.3 Mass Example 1 p197 (cont’d) e) A laptop computer f) A fly g) A frog h) A refrigerator

5.3 Mass and Volume Volume in Cubic Units Volume in Liters Mass of Water 1 cm³1 ml1 g 1 dm³1 l1 kg 1 m³1 kl1 t (1000 kg) = = = = = =

5.3 Example 2 p198 A fish tank is 1 m long, 50 cm high, and 250 mm wide. Determine the number of liters the fish tank holds. What is the mass of the water in kilograms? 50 cm1 m0.5 m 100 cm 250 mm1 m0.25 m 1000 mm Volume = 1 m x 0.5 m x 0.25 m = m³

5.3 Example 2 p m³1 kl1000 l125 l 1 m³1 kl 125 l1 kg125 kg 1 l

5.3 Temperature Celsius scale vs. Fahrenheit scale Water Freezes: 0˚C = 32˚F Water Boils: 100˚C = 212˚F Lovely Weather: 22˚C ≈ 72˚F

5.3 Temperature Conversions F = 9/5 C + 32 C = 5/9 (F - 32)

5.3 Example 4 p200 A typical setting for home thermostats is 72˚F. What is the equivalent temperature on the Celsius thermometer? C = 5/9 (F - 32) C = 5/9 ( ) C = 5/9 (40) C ≈ ˚C (1) (2) (3) (4)

5.3 Example 5 p200 If the temperature outdoors is 28˚C, what should you wear outside? F = 9/5 C + 32 F = 9/5 (28) + 32 F = F = ˚F (1) (2) (3) (4)

5.3 Practice Problems Turn to 201 (495 for Brook) Choose one of the following problems: 11, 43, 47, 51, 63 Vote on which problems you’d like to see done! If two problems are close-to-tied, we’ll do both.

5.4 Dimensional Analysis Converting to and from the Metric System Unit Fraction: a fraction with different units in the top and bottom where the whole fraction equals 1. Example: 1 ft. / 12 in.

5.4 Customary Units p204 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5280 feet 1 pound = 16 ounces 1 ton = 2000 pounds etc.

5.4 Example 1 p205 A container contains 26 ounces of salt. Convert 26 ounces to pounds. 26 oz.1 lb. 16 oz.

5.4 Example 3 p205 Convert 60 miles per hour to feet per second 60 mi5280 ft1 hr88 ft 1 hr1 mi3600 sec1 sec

5.4 Table 8.7 p206 Length 1 in = 2.54 cm 1 ft = 30 cm 1 yd = 0.9 m 1 mi = 1.6 km Check out the equivalencies for Area, Volume and Weight on page 206.

5.4 Example 7 p208 Be on the lookout for examples that pertain to your professional field. Your final project involves relating the concepts from this course to your career. Example 7 is a good tie-in for the Medical Field.

5.4 Practice Problems Turn to 211 (506 for Brook) Choose one of the following problems: 9, 23, 37, 39 Vote on which problems you’d like to see done! If two problems are close-to-tied, we’ll do both.