Metric Prefixes and Conversion Factors

1. UNIT ONE TOPIC: Metric Prefixes and Conversion Factors LecturePLUS Timberlake

2. 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 Timberlake

3. Prefixes that Increase A Unit Prefix Symbol Value giga- G 1 000 000 000 mega- M 1 000 000 kilo- k 1 000 LecturePLUS Timberlake

4. Prefixes that Decrease A Unit Prefix Symbol Value deci- d 0.1 centi- c 0.01 milli- m 0.001 micro-  (mu) 0.000 001 nano n 0.000 000 0001 LecturePLUS Timberlake

5. Learning Check MP1 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

6. Solution MP1 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

7. Learning Check MP2 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 1) millimeters 2) meters 3) kilometers LecturePLUS Timberlake

8. Solution MP2 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

9. Learning Check MP3 Indicate the prefix to use for 1. A mass that is 1000 times greater than 1 gram 1) kilogram 2) milligram 3) megagram 2. A length that is 1/100 of 1 meter? 1) decimeter 2) centimeter 3) millimeter 3. A unit of time that is 1/1000 of a second. 1) nanosecond 2) microsecond 3)millisecond LecturePLUS Timberlake

10. Solution MP3 1. 1) kilogram 2. 2) centimeter 3. 3) millisecond LecturePLUS Timberlake

11. Equalities State the same measurement in two different units length 10.0 in. 25.4 cm LecturePLUS Timberlake

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

13. Learning Check MP4 A. 1000 m = 1 ___ 1) mm 2) km 3) dm B. 0.001 g = 1 ___ 1) mg 2) kg 3) dg C. 0.1 L = 1 ___ 1) mL 2) cL 3) dL D. 0.01 m = 1 ___ 1) mm 2) cm 3) dm LecturePLUS Timberlake

14. Solution MP4 A. 1000 m = 1 ___ 2) km B. 0.001 g = 1 ___ 1) mg C. 0.1 L = 1 ___ 3) dL D. 0.01 m = 1 ___ 2) cm LecturePLUS Timberlake

15. Learning Check MP5 Give the value of the following units: A. 1 kg = ____ g 1) 10 g 2) 100 g 3) 1000 g B. 1 mm = ____ m 1) 0.001 m 2) 0.01 m 3) 0.1 m LecturePLUS Timberlake

16. Solution MP5 A. 1 kg = ____ g 3) 1000 g B. 1 mm = ____ m 1) 0.001 m LecturePLUS Timberlake

17. 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

18. 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 Timberlake

19. 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

20. 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

21. 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 Timberlake

22. Learning Check MP6 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

23. Solution MP6 A. quarts and mL 1 L = 1000 mL 1 L and 1000 mL 1000 mL 1 L B. hours and minutes 1 hr = 60 min 1 hr and 60 min 60 min 1 hr C. meters and kilometers 1 km = 1000 m 1 km and 1000 m 1000 m 1 km LecturePLUS Timberlake