LecturePLUS Timberlake1 Chapter 1 Measurements Prefixes and Equalities

LecturePLUS Timberlake2 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=1000 meters 1 kilogram=1000 grams

LecturePLUS Timberlake3 Prefixes that Increase A Unit PrefixSymbolValue giga-G mega-M kilo-k1 000

LecturePLUS Timberlake4 Prefixes that Decrease A Unit PrefixSymbolValue deci-d0.1 centi-c0.01 milli-m0.001 micro-  (mu) nanon

LecturePLUS Timberlake5 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 Timberlake6 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 Timberlake7 Learning Check Select the unit you would use to measure A. Your height 1) millimeters2) meters 3) kilometers B. Your mass 1) milligrams2) grams 3) kilograms C. The distance between two cities 1) millimeters2) meters 3) kilometers D. The width of an artery 1) millimeters2) meters 3) kilometers

LecturePLUS Timberlake8 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 Timberlake9 Learning Check Indicate the prefix to use for 1. A mass that is 1000 times greater than 1 gram 1) kilo2) milli3) mega 2. A length that is 1/100 of 1 meter? 1) deci2) centi3) milli 3. A unit of time that is 1/1000 of a second. 1) nanosecond 2) microsecond 3)millisecond

LecturePLUS Timberlake10 Solution 1. 1) kilo 2. 2) centi 3. 3) millisecond

LecturePLUS Timberlake11 Equalities State the same measurement in two different units length 10.0 in cm

LecturePLUS Timberlake12 Some Metric Equalities Length 1 m = 100 cm Mass 1 kg = 1000 g Volume 1 L=1000 mL

LecturePLUS Timberlake13 A m = 1 ___1) mm 2) km3) dm B g = 1 ___ 1) mg2) kg3) dg C. 0.1 L = 1 ___1) mL2) cL3) dL D m = 1 ___ 1) mm 2) cm3) dm Learning Check

LecturePLUS Timberlake14 A m = 1 ___2) km B g = 1 ___ 1) mg C. 0.1 L = 1 ___3) dL D m = 1 ___ 2) cm Solution

LecturePLUS Timberlake15 Give the value of the following units: A. 1 kg = ____ g 1) 10 g2) 100 g 3) 1000 g B. 1 mm = ____ m 1) m2) 0.01 m 3) 0.1 m Learning Check

LecturePLUS Timberlake16 A. 1 kg = ____ g 3) 1000 g B. 1 mm = ____ m 1) m Solution

LecturePLUS Timberlake17 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 Timberlake18 Some American Equalities 1 ft=12 inches 1 lb=16 oz 1 quart = 2 pints 1 quart=4 cups The quantities in each pair give the same measured amount in two different units.

LecturePLUS Timberlake19 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 Timberlake20 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 Timberlake21 Conversion Factors Fractions in which the numerator and denominator are quantities expressed in an equality between those units Example: 1 in. = 2.54 cm Factors: 1 in. and 2.54 cm 2.54 cm 1 in.

LecturePLUS Timberlake22 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 Timberlake23 Solution A. quarts and mL 1 L = 1000 mL 1 L and 1000 mL 1000 mL 1 L B. hours and minutes1 hr = 60 min 1 hr and 60 min 60 min1 hr C. meters and kilometers 1 km = 1000 m 1 km and 1000 m 1000 m 1 km