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Metric Conversions!

Metric Conversions!. Through dimensional analysis. The Metric System. Uses SI units ( Système International d’Unités ) Universal standard of measurement used in science, and most of the rest of the world Based on factors of 10. ENGLISH SYSTEM. Ounces, Pounds and Pints

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Metric Conversions!

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  1. 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 world Based 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 29.573 ml a troy ounce is 31.1 g an ounce avoirdupois is 28.35 g There'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 0.551 l, while 1 pint liquid is 0.473 l. Inches, Rods, Chains and Furlongs An 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. Number Economy Choose the correct measurement for the job. Instead of saying an object traveled 5,000 meters you can reduce that to 5 kilometers 1 kilometer = 1000 meters

  5. SI prefixes

  6. Measuring Instruments Second (s) Celcius (oC), Kelvin (K) Meter (m) Gram (g) Liter (L), cm3 Time Temperature Distance Mass Volume

  7. Conversion Factors Conversion factor Base units Prefix 109 (L,m,g,s) = 1 giga (G) 106 (L,m,g,s) = 1 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) = 101 deci (d) 1 (L,m,g,s) = 102 centi (c) 1 (L,m,g,s) = 103 milli (m) 1 (L,m,g,s) = 106 micro (μ) 1 (L,m,g,s) = 109 nano (n) 1 (L,m,g,s) = 1012 pico (p) Large units NEED TO MEMORIZE Base units Conversion factor Prefix Small units Write These Down! (Take NOTE of the CASE)

  8. CONVERSION STEPS Problem: convert 2.43 meters (m) into millimeters (mm) STEP 1: Draw your table STEP 2: Put given number and unit over 1 2.43 m NO NAKED NUMBERS!!! EVERY NUMBER NEEDS A UNIT!!! NO UNIT = WRONG ANSWER!!! 1

  9. STEP 3: Put given unit downstairs to cancel 2.43 m m 1 m STEP 4: Put the unit you are looking for on top mm 2.43 m m 1 STEP 5: Put a 1 in front of larger unit: consult your chart! THIS IS THE MOST IMPORTANT AND MISSED STEP mm 2.43 m m 1 1

  10. STEP 6: LOOK UP THE PREFIX FOR CONVERSION FACTOR 103 mm 2.43 m milli = 1000 or 103 m 1 1 STEP 7: MULTIPLY ACROSS, NOT CROSS MULTIPLY 103 mm 2.43 E3 2.43 m mm = 1 1 1 m STEP 8: Reduce and double check your unit 2.43 E3 2.43 E3 mm = 1

  11. Problem: Convert 561 liters (L) into kiloliters (kL) 1 kL 561 kL 561 L 5.61 E-1 kL kilo = 1000 or 103 = 103 L 103 1 Step 3 Step 2 Step 4 Step 5 Step 1 Step 6 Step 7 Step 8

  12. Problem: Convert 4.39 E4 seconds (s) into nanoseconds (ns) 109 ns 4.39 E13 ns 4.39 E4 s 4.39 E13 ns nano = 109 = 1 s 1 1 Step 3 Step 4 Step 2 Step 5 Step 1 Step 6 Step 7 Step 8

  13. Problem: Convert 93561 grams (g) into Megagrams (Mg) 1 Mg 93561 Mg 93561 g 9.36 E-2 Mg Mega = 106 = 106 g 106 1 Step 3 Step 4 Step 2 Step 5 Step 1 Step 6 Step 7 Step 8

  14. PRACTICE 3.45 Ms to s 1000 m to hm 356 L to pL 1.54 x 107 g to Gg

  15. 2 Stage Problems (L, m, g, s) Convert to m first Convert to g first Convert to L first You have to convert to the base unit first How do you know? Problem has 2 prefixes and no base unit alone Example: km to cm, Mg to mg, mL to GL

  16. 2.55 km to cm 2.55 km 103 102 m cm = 1 1 km 1 m 2.55 x 103 x 102 cm = 2.55 x 105 cm 1 x 1x 1

  17. 1.63 E3 cg to Mg 1.63E3 cg 1 1 g Mg = 1 102 cg 106 g 1.63E3 Mg = 1.63 x 10-5 Mg 1 x 102 x 106

  18. PRACTICE 3.45 Ms to ms 1000 nm to hm 356 mL to pL 1.54 x 107 cg to Gg

  19. Answers: 1-5 table conversion 6.91m 100 cm 6.91 E2cm 1 1m 9.10 E12m 1 Gm 9.10 E3 Gm 109 m 1 1.8932 E6mm 1 m 1.89 E3 m 103 mm 1

  20. 231 cm 1 m 2.31m 102 cm 1 94 km 103 m 9.40 E4 m 1 km 1

  21. 1Mm 1m 1m 109nm 1Gm 1km 100cm 106m 103mm 1m 109m 103m A C E G I K

  22. 106m 103 mm 1m 100cm 103m 109m 1Mm 1km 1m 1Gm 1m 109nm F D B J H L

  23. Meter Stick 1 meter 10 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 1 decimeter 10 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 centimeter 1 decimeter 10 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 millimeter 1 centimeter

  24. Fractions : Ratios 1 Q: How do you convert a number into a fraction? Ex:2.57 A: Put the number over 1!

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