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LecturePLUS Timberlake
Chapter 1 Measurements Prefixes and Equalities LecturePLUS Timberlake
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LecturePLUS Timberlake
Metric Prefixes Increase or decrease basic unit by 10 Form new units larger or smaller than the basic units Indicate a numerical value prefix = value 1 kilometer = meters 1 kilogram = grams LecturePLUS Timberlake
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Prefixes that Increase A Unit
Prefix Symbol Value giga- G mega- M kilo- k LecturePLUS Timberlake
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Prefixes that Decrease A Unit
Prefix Symbol Value deci- d 0.1 centi- c milli- m micro- (mu) nano n LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check Match 1) length 2) mass 3) volume ____ A. A bag of tomatoes is 4.6 kg. ____ B. A person is 2.0 m tall. ____ C. A medication contains 0.50 g Aspirin. ____ D. A bottle contains 1.5 L of water. LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution Match 1) length 2) mass 3) volume _2 A. A bag of tomatoes is 4.6 kg. _1_ B. A person is 2.0 m tall. _2_ C. A medication contains 0.50 g Aspirin. _3_ D. A bottle contains 1.5 L of water. LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check Select the unit you would use to measure A. Your height 1) millimeters 2) meters 3) kilometers B. Your mass 1) milligrams 2) grams 3) kilograms C. The distance between two cities 1) millimeters 2) meters 3) kilometers D. The width of an artery LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution A. Your height 2) meters B. Your mass 3) kilograms C. The distance between two cities 3) kilometers D. The width of an artery 1) millimeters LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check Indicate the prefix to use for 1. A mass that is 1000 times greater than 1 gram 1) kilo 2) milli 3) mega 2. A length that is 1/100 of 1 meter? 1) deci 2) centi 3) milli 3. A unit of time that is 1/1000 of a second. 1) nanosecond 2) microsecond 3)millisecond LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution 1. 1) kilo 2. 2) centi 3. 3) millisecond LecturePLUS Timberlake
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LecturePLUS Timberlake
Equalities State the same measurement in two different units length 10.0 in. 25.4 cm LecturePLUS Timberlake
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Some Metric Equalities
Length 1 m = 100 cm Mass 1 kg = g Volume 1 L = 1000 mL LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check A m = 1 ___ 1) mm 2) km 3) dm B g = 1 ___ 1) mg 2) kg 3) dg C L = 1 ___ 1) mL 2) cL 3) dL D m = 1 ___ 1) mm 2) cm 3) dm LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution A m = 1 ___ 2) km B g = 1 ___ 1) mg C L = 1 ___ 3) dL D m = 1 ___ 2) cm LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check Give the value of the following units: A. 1 kg = ____ g 1) 10 g 2) 100 g 3) g B. 1 mm = ____ m 1) m 2) m 3) 0.1 m LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution A. 1 kg = ____ g 3) 1000 g B. 1 mm = ____ m 1) m LecturePLUS Timberlake
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Some American Equalities
1 ft = inches 1 lb = 16 oz 1 quart = pints 1 quart = 4 cups Why are the quantities in each pair equal? LecturePLUS Timberlake
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Some American Equalities
1 ft = 12 inches 1 lb = 16 oz 1 quart = pints 1 quart = 4 cups The quantities in each pair give the same measured amount in two different units. LecturePLUS Timberlake
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Some Metric-American Equalities
1 in. = 2.54 cm 1 qt = 946 mL 1 L = 1.06 qt 1 lb = 454 g 1 kg = 2.20 lb Remember these for exams. LecturePLUS Timberlake
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Equalities given in a Problem
Example 1 At the store, the price of one pound of red peppers is $2.39. Equality: 1 lb red peppers = $2.39 Example 2 At the gas station, one gallon of gas is $1.34. Equality: 1 gallon of gas = $1.34 LecturePLUS Timberlake
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LecturePLUS Timberlake
Conversion Factors Fractions in which the numerator and denominator are quantities expressed in an equality between those units Example: in. = 2.54 cm Factors: 1 in and cm 2.54 cm in. LecturePLUS Timberlake
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LecturePLUS Timberlake
Learning Check Write conversion factors that relate each of the following pairs of units: A. Liters and mL B. Hours and minutes D. Meters and kilometers LecturePLUS Timberlake
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LecturePLUS Timberlake
Solution A. quarts and mL 1 L = 1000 mL 1 L and mL 1000 mL L B. hours and minutes 1 hr = 60 min 1 hr and min 60 min 1 hr C. meters and kilometers 1 km = 1000 m 1 km and m 1000 m km LecturePLUS Timberlake
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