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The prefixes kilo (= 1000), milli (= 1/1000), centi (= 1/100), and deci (= 1/10)
are used with any metric unit, such as grams (weight), liters (volume), and meters (distance).
The original quantity and unit (to be converted) are multiplied by a conversion factor (which is a
fraction made up as follows):
New unit (on top) / Old unit (on bottom)
48 ounces = ? pounds
48 o z × 1 p o u n d / 16 o z = 3 p o u n d s
4 kilograms = ? grams
4 Kg X 1000 grams/1kg = 4000 grams
1.) 656 cm x 1 m / 100 cm = 6.56 m
2.) 20 gal x 4 qt / 1 gal = 80 qts
3.) 7820 ml x 1 liter / 1000 ml = 7.82 liters
4.) 36 g x 1000 mg / 1 g = 36000 mg
5.) 25.3 g x 10 dc / 1 g = 253 dg
6.) 6.2 m x 1000 mm / 1 m = 6200 mm
7.) 725 l x 1000 ml / 1 liter = 725,000 ml
8.) 56 ft x 12 in / 1 ft = 672 in
, 1.3: TEMPERATURE CONVERSIONS
1.) 132 oC + 273 = 405 oK
2.) 132 oF - 32 x 1.8 = 55.6 oC + 273 = 328.6 oK
3.) 285 oK - 273 = 12 oC
4.) 60 oC x 1.8 + 32 = 140 oF
5.) 85 oF - 32 x 1.8 = 29.4 oC
6.) 52 oC + 273 = 325 oK
7.) 32 oC x 1.8 + 32 = 89.6 oF
8.) 412 oK - 273 = 139 oC x 1.8 + 32 = 282.2 oF
K to °C(°C and K differ by 273)
K (larger) - 273 = °C (smaller)
°C to K(°C and K differ by 273)
°C (smaller) + 273 = K (larger)
°F to °C(Subtract 32, and divide by 1.8)
°F - .8 = °C
°C to °F(Multiply by 1.8, and add 32)
°C X 1.8 + 32 = °F
1.4: DENSITY
Density represents the mass of a substance in a unit volume of that substance. The density of
most solids or liquids is expressed in the unit grams per milliliter (or g/ml).
The following equation is used to calculate density if you know the mass (in grams) and the
volume (in milliliters).
D (g/ml) = M(g) / V(ml)
1.) 35.6 ml = V 1.86 g/ml = D find M = D x V = 1.86 x 35.6 = 66.2 grams
2.) 13.6 g/ml = D 1000 g = M find V = M / D = .6 = 73.5 ml
3.) 200 ml = V 620 g = M find D = M / V = 620 g / 200 ml = 3.10 g/ml
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