1. SI UNITS and CONVERSION CALCULATIONS CAFarrer 2013

2. Table 1: SI Base Units QuantityUnitSymbol lengthmeterm masskilogramkg timeseconds electric currentampereA thermodynamic temperaturekelvinK amount of substancemolemol luminous intensitycandelacd CAFarrer 2013

3. Table 2: Prefixes PREFIXSYMBOL MULTIPLICATION FACTOR gigaG1 000 000 000 megaM1 000 000 kilok1000 hectoh100 dekada10 NO PREFIX1 decid0.1 centic0.01 millim0.001 microµ0.000 001 nanon0.000 000 001 picop0.000 000 000 001 femtof0.000 000 000 000 001 CAFarrer 2013

4. Metric to Metric Conversions QUESTION : 2.65 kg = _______ g ANSWER: 2.65 kg X 1000 g = 2650 g 1kg Numerator (kg) and Denominator (kg) units cancel to leave grams (g)! OR -- move decimal three places to the right CAFarrer 2013

5. TRY THESE! (USE THE RATIO FOR DIMENSIONAL ANALYSIS!!) SEE SLIDES # 3 AND 4) Ex. 167 cm = __________ m 1. 5347 L = __________ mL 2.48 mg = __________ g 3.0.645 cm = __________ mm 4.789 mL = __________ L 5.4370 g = __________ kg 6.9677  L = ___________ mL CAFarrer 2013

6. TRY THESE! - ANSWERS! 167 cm X 1 m / 100 cm = 1.67 m 1. 5347 L X 1000 mL / 1L = 5.347 mL 2.48 mg X 1 g / 1000 mg = 0.048 g 3.0.645 cm X 1 m / 100 cm X 1000 mm / 1 m = 6.45 mm 4.789 mL X 1 L / 1000 mL= 0.789 L 5.4370 g X 1 kg / 1000 g = 4.370 kg 6.9677  L X 1 L / 1000000  L X 1000 mL/ 1 L = 9.677 mL CAFarrer 2013

7. QuantityNameSymbol Expression in terms of other SI units Celsius temperature degree Celsius°CK electric charge, quantity of electricitycoulombCA·s electric potential difference, electromotive forcevoltVW/A electric resistanceohmΩV/A energy, work, quantity of heatjouleJN·m forcenewtonNkg·m/s 2 frequency (of a periodic phenomenon)hertzHz1/s power, radiant fluxwattWJ/s pressure, stresspascalPaN/m 2 TABLE 3: SELECTED SI EXPRESSIONS WITH SI UNITS AND SYMBOLS CAFarrer 2013

8. Table 4: Metric To English Metric mulitply by # = English Centimeters (cm) x 0.39 = inches Meters (m) x 3.3 = feet Meters (m) x 1.1 = yards Kilometers (km) x 0.6 = miles Liters (l) x 1.1 = quarts (lq) liters (l) x 3.785 = gallons Grams (g) x 0.035 = ounces Kilograms (kg) x 2.2 = pounds milliter (mL) x 0.2 = Teaspoon (tsp) CAFarrer 2013

9. Table 5: English to Metric ENGLISH Multiply by # to yield METRIC Inches (in) x 2.54 = Centimeters Feet (ft) x 0.26 = meters Yards (yd) x 0.92 = meters Miles (mi) x 1.6 = kilometers Quarts (lq) (qt) x 0.9 = liters Gallons (gal) x 0.026 = liters Ounces (oz) x 28.4 = grams Pounds (lb) x 0.455 = kilograms teaspoon (tsp) X 5.0 = milliliter CAFarrer 2013

10. Conversion Calculations – TRY THESE!! 1.525 cm = __________ in 1.645 mL = __________ tsp 1.330 g = __________ lbs 2.50 mi = __________ km 1. 56 gal X = __________ L 1. 345 oz = __________ g CAFarrer 2013

11. Conversion Calculations ANSWERS!! 1.525 cm X 1 in / 2.54 cm = 206.7 in 1.645 mL X 1 tsp / 5 mL = 129 tsp 1.330 g X 1 kg/ 1000 g X 2.2 lbs / 1 kg = 0.15 lbs 2.50 mi X 0.6 km / mi = 30 km 1. 56 gal x 3.785 L / gal = 212 L 1. 345 oz X 28.4 g / oz = 9798 g CAFarrer 2013