1. Understanding and Using the METRIC SYSTEM [SI, Standard International] Système international d’Unités 1

2. “I CAN” statements ‗ name the 7 base units This means that I can identify the correct physical quantity being represented solely by its unit and/or its corresponding symbol. ‗ name the most commonly used prefixes This means that I can list - in the correct order of magnitude - at least 6, preferably 10, words that precede any of the base units. ‗ perform metric conversions This means that I can express a given measurement into any of the metric prefixes. Ppt 2010_ES02 Metric System

3. 7 base units Physical QuantityName of UnitSymbol Lengthmeterm Massgramg Timeseconds TemperaturekelvinK Electric currentAmpereD Amount of substancemolemol Luminous intensitycandelacd Volume liquid is not a fundamental unit, but it is a direct measurement Volume and Length are linked: 1 Liter (L) occupies 1,000 cm 3

4. Main GOALS and ADVANTAGES are: i.A single base unit for any physical quantity ii.No need for conversion factors iii.All multiples and subdivisions are decimal factors or of powers of ten [prefixes] 4

5. PREFIXES A WORD that precedes the base unit to identify the magnitude / the size of the measurement. i.e. its function is to multiply or divide the measure by a factor of ten, one hundred, or a positive integer power of one thousand Those prefixes are common to all types of measurements. 5

6. PREFIXES [to know] ABBREVIATION 6 K ing H enri D r A nk B ad D isgusting C hocolate M ilk kilokilo hectohecto dada basebase decideci centicenti millimilli khda--dcm

7. PREFIXES [to know] ABBREVIATION 7 K ing H enri DA nced B ad D isco C ountry M usic kilokilo hectohecto dada basebase decideci centicenti millimilli khda--dcm

8. PREFIXES [to know] ABBREVIATION 8 K ing H enri D r A nk B ad D isgusting C hocolate M ilk kilokilo hectohecto dada basebase decideci centicenti millimilli khda--dcm

9. 9 PrefixSymbolMagnitude Meaning (multiply by) Tera-T10 12 1 000 000 000 000 Giga-G10 9 1 000 000 000 Mega-M10 6 1 000 000 kilo-k10 3 1000 hecto-h10 2 100 deca-da10 BASE UNIT --- deci-d10 -1 0.1 centi-c10 -2 0.01 milli-m10 -3 0.001 micro-u (mu)10 -6 0.000 001 nano-n10 -9 0.000 000 001 pico-p10 -12 0.000 000 000 001

10. 10 PrefixSymbolMagnitude Meaning (multiply by): Yotta-Y10 24 1 000 000 000 000 000 000 000 000 Zetta-Z10 21 1 000 000 000 000 000 000 000 Exa-E10 18 1 000 000 000 000 000 000 Peta-P10 15 1 000 000 000 000 000 ---- femto-f10 -15 0.000 000 000 000 001 atto-a10 -18 0.000 000 000 000 000 001 zepto-z10 -21 0.000 000 000 000 000 000 001 yocto-y10 -24 0.000 000 000 000 000 000 000 001

11. The simplicity of the system is derived from using the arithmetic base 10. One simply needs to shift the decimal point or change an exponent to express results with a different prefix. 11

12. AN ANSWER TO A CALCULATION GAVE A VALUE OF “54,500 meters” ALTHOUGH ‘CORRECT’, THE VALUE IS LARGE AND CUMBERSOME; IT CAN BE SHORTENED AND REDUCED TO A SMALLER EXPRESSION BY A SIMPLE CONVERSION… SAMPLE PROBLEM: 12

13. BASE UNIT Deca Hecto Kilo Deci Centi Milli To change to a larger prefix, move the decimal to the LEFT REMEMBER… meter kilometer 54,500 meters = 54.5 kilometers 13

14. 14 kilohectodecaBASEdecicentimilli meterkilometer 54,000 meters = 54 km

15. A student has this value for the mass of a certain object: 1.43 gram SAMPLE PROBLEM: However, the formula in which she has to use the value calls for the mass in milligrams… A quick conversion by moving the decimal point is easy: 15

16. BASE UNIT Deca Hecto Kilo Deci Centi Milli gram milligram 1.43 gram To change to a smaller prefix, move the decimal to the RIGHT [fill in zero’s] REMEMBER… 16

17. BASE UNIT Deca Hecto Kilo Deci Centi Milli gram milligram To change to a smaller prefix, move the decimal to the RIGHT [fill in zero’s] REMEMBER… 14.3 decigram 17

18. REMEMBER… BASE UNIT Deca Hecto Kilo Deci Centi Milli gram milligram = 1,430 milligrams To change to a smaller prefix, move the decimal to the RIGHT [fill in zero’s] 143. centigram 18

19. 19 kilohectodecaBASEdecicentimilli grammilligr am 1.43 gram = 1,430 mg

20. BASE UNIT Deca Hecto Kilo Deci Centi Milli To change to a larger prefix, move the decimal to the LEFT [fill in the zero’s, if necessary] To change to a smaller prefix, move the decimal to the RIGHT [fill in the zero’s, if necessary] 20

21. Convert the following measurement as indicated: 95 cm to meters A.0.95 hm B.9.5 m C.950 m D.0.95 m 21

22. Convert the following measurement as indicated: 1.1 L to milliliters A.0.11 mL B.11 mL C.110 mL D.1,100 mL 22

23. Convert the following measurement as indicated: 17,000 m to kilometers A.1,700 km B.17 km C.170 km D.170,000 km 23

24. Convert the following measurement as indicated: 500 kg to grams A.5 g B.50 g C.500,000 g D.0.5 g 24

25. Which SI prefix means one one-hundredth (1/100)? A.Nano- B.Micro- C.Milli- D.Centi- 25

26. 26 1)170.4 m =______________ cm 2) 564 dag =______________ g 3) 58 dg =______________ mg 4) 600 L =______________ kL 5) 0.0923 km =______________ mm 6) 49 hg =______________ g 7) 210 cL =______________ dL 8) 45700 cg =______________ kg 9) 82.4 nm =______________  m 10) 4.51 x 10 3  L =______________ mL

27. 27 ANSWERS 1.17040cm 2.5640 g 3.5800 mg 4.0.600 kL 5.92300 mm 6.4900 g 7.21.0 dL 8.0.457 kg 9.0.0824  m 10.4.51 mL; write out 4.51 x 10 3  L = 4510  L, the decimal is understood to be after the zero. Now count UP from the  prefix to the m (milli) prefix. You counted three places, so move the decimal to the LEFT three places = 4.51 mL

28. 28 1.40 ml = _______ L2. 5000 L = _______ kl3. 8 g = _______ kg 4.12000 L = _______ kl5. 50 mg = _______ g6. 6000 m = _______ km 7.200 kg = _______ g8. 10000 g = _______ kg9. 500 ml = _______ L 10.1 L = _______ ml11. 4000 L = _______ kl12. 400 cm = _______ m 13.20 ml = _______ kl14. 7000 ml = _______ L15. 7 cm = _______ mm 16.9000 L = _______ ml17. 6 m = _______ mm18. 1000 cm = _______ m 19.11 km = _______ m20. 80 mg = _______ kg21. 3 m = _______ mm

29. 29 Directions: Find the greatest metric measurement in each problem. 1. 500 cm; 5000 mm; 4 m 2. 0.2 L; 240 mL; 50 cL 3. 3000 mg; 250 cg; 3 kg 4. 4 L; 5000 mL; 23,000 cL 5. 17 m; 17,040,000 cm; 17, 400,000,005 mm 6. 2000 cg; 25,300 mg; 2.5 Kg 7. 3400 cg; 4.5 kg; 7,000,843 mg 8. 23 L; 4.3 kL; 6,000,320 mL 9. 820,000 cg; 38 kg; 600,002,394 mg 10. 34,948,304 mL; 32,394 cL; 55 kL 11. 2 km; 5550 m; 64,430 cm 12. 435,678 g; 4.32 kg; 321,900,484 mg 13. 74,000 cm; 824,000 mm; 2 km 14. 84,000 mL; 3.4 kL; 750 L 15. 23,436 g; 268,980 mg; 2.3 kg

30. 30 MORE PROBLEMS http://virtual.yosemite.cc.ca.us/smurov/ex1-1.htm http://www.fordhamprep.org/gcurran/sho/sho/index.htm