Presentation on theme: "Through dimensional analysis."— Presentation transcript:
1 Through dimensional analysis. Metric Conversions!Through dimensional analysis.
2 The Metric System Uses SI units (Système International d’Unités) Universal standard of measurement used in science, and most of the rest of the worldBased on factors of 10
3 ? ENGLISH SYSTEM Ounces, Pounds and Pints 8 ounces make a cup, 2 cups make a pint,2 pints make a quart,4 quarts make a gallon.A pint of water weighs a pound.An American barrel of dry measure is 105 dry quarts (116 liters), but a liquid barrel is 31.5 gallons (liquid) or 119 liters, unless the barrel contains petroleum, in which case it contains 42 (US) gallons or 159 liters.The three different ounces:a fluid ounce is mla troy ounce is 31.1 gan ounce avoirdupois is gThere's also something called "dry measure" with units of pint, quart, peck and bushel for measuring quantities of fruits, grains, and whatnot. 1 pint dry is l, while 1 pint liquid is l. Inches, Rods, Chains and FurlongsAn inch is the outer part of a man's thumb, 25.4 millimeter to be exact.12 inches to a foot,2 feet to a cubit or 3 feet to a yard.A rod/pole is 5.5 yards (16.5 feet): The size of a big stick carried around by builders (hence the name). Four rods make a chain (22 yards) - the distance between two (cricket) wickets. Ten chains make a furlong. A furlong square is ten acres. Eight furlongs make a mile.?
4 Choose the correct measurement for the job. Number EconomyChoose the correct measurement for the job.Instead of saying an object traveled 5,000 meters you can reduce that to 5 kilometers1 kilometer = 1000 meters
5 Decimal equivalent in SI writing style SI prefixes1000n10nPrefixSymbolShort scaleLong scaleDecimal equivalent in SI writing style100081024yottaYSeptillionQuadrillion100071021zettaZSextillionTrilliard (thousand trillion)100061018exaEQuintillionTrillion100051015petaPBilliard (thousand billion)100041012teraTBillion10003109gigaGMilliard (thousand million)10002106megaMMillion10001103kilokThousand1 000-102hectohHundred100101deca, dekadaTen1010000(none)One110−1decidTenth0.110−2centicHundredth0.011000−110−3millimThousandth0.0011000−210−6microµ (u)Millionth1000−310−9nanonBillionthMilliardth1000−410−12picopTrillionth1000−510−15femtofQuadrillionthBilliardth1000−610−18attoaQuintillionth1000−710−21zeptozSextillionthTrilliardth1000−810−24yoctoySeptillionth
7 Write These Down! (Take NOTE of the CASE) Conversion FactorsConversion factorBase unitsPrefix109 (L,m,g,s) = 1 giga (G)(L,m,g,s) = mega (M)103 (L,m,g,s) = 1 kilo (k)102 (L,m,g,s) = 1 hecto (h)101 (L,m,g,s) = 1 deca (da)Base units (L, m, g, s)1 (L,m,g,s) = deci (d)1 (L,m,g,s) = centi (c)1 (L,m,g,s) = milli (m)1 (L,m,g,s) = micro (μ)1 (L,m,g,s) = nano (n)1 (L,m,g,s) = pico (p)Large unitsNEED TO MEMORIZEBase unitsConversion factorPrefixSmall unitsWrite These Down! (Take NOTE of the CASE)
8 CONVERSION STEPS STEP 1: Draw your table Problem: convert 2.43 meters (m) into millimeters (mm)STEP 1: Draw your tableSTEP 2: Put given number and unit over 12.43 mNO NAKED NUMBERS!!! EVERY NUMBER NEEDS A UNIT!!! NO UNIT = WRONG ANSWER!!!1
9 THIS IS THE MOST IMPORTANT AND MISSED STEP STEP 3: Put given unit downstairs to cancel2.43 mm1mSTEP 4: Put the unit you are looking for on top2.43 mmm1mSTEP 5: Put a 1 in front of larger unit: consult your chart!THIS IS THE MOST IMPORTANT AND MISSED STEP2.43 mmm11m
10 2.43 E3 mm STEP 8: Reduce and double check your unit STEP 6: LOOK UP THE PREFIX FOR CONVERSION FACTOR1032.43 mmmmilli = 1000 or 10311mSTEP 7: MULTIPLY ACROSS, NOT CROSS MULTIPLY1032.43 mmm2.43 E3mm=111mSTEP 8: Reduce and double check your unit2.43 E32.43 E3mm=1
14 PRACTICE3.45 Ms to s1000 m to hm356 L to pL1.54 x 107 g to Gg
15 2 Stage Problems You have to convert to the base unit first How do you know?Problem has 2 prefixes and no base unit aloneExample: km to cm, Mg to mg, mL to GL(L, m, g, s)Convert to m firstConvert to g firstConvert to L first
16 2.55 km to cm 2.55 km 103 m 102 cm = 1 1 km 1 m 2.55 x 103 x 102 cm =
17 1.63 E3 cg to Mg 1.63E3 cg 1 g 1 Mg = 1 102 cg 106 g 1.63E3 Mg = 1.63 x 10-5 Mg1 x 102 x 106
18 PRACTICE3.45 Ms to ms1000 nm to hm356 mL to pL1.54 x 107 cg to Gg