Portage Chemistry 103 Module 1 Exam Study Guide
With Complete Solution
1.1.1 EXPONENTIAL NUMBERS: The speed of light is 186,000 miles per se
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cond. This is 1.86 x 105 (in exponential form)
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The diameter of an E. coli cell is 0.00000080 meters = 8.0 x 10-
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7 (in exponential form)
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4950000000. A number larger than one will have a positive exponent. Mo
yt yt yt yt yt yt yt yt yt yt yt
e the decimal point nine places to the left to give 4.95 x 109
yt yt yt yt yt yt yt yt yt yt yt yt yt
0.00000000000056 A number smaller than one will have a negative expon yt yt yt yt yt yt yt yt yt yt
ent. Move the decimal point 13 places to the right to give 5.6 x 10-13
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
1.)0.00000456 = smaller than 1 = negative exponent, move decimal 6 pla
yt yt yt yt yt yt yt yt yt yt yt
ces = 4.56 yt yt
x 10-6
yt
2.)2.63 x 107 = positive exponent = larger than 1, move decimal 7 place
yt yt yt yt yt yt yt yt yt yt yt yt yt
= yt
26300000.
3.)7800000. = larger than 1 = positive exponent, move decimal 6 places
yt yt yt yt yt yt yt yt yt yt yt yt
7.8 x 106
yt yt yt
4.)8.26 x 10- yt yt
5 = negative exponent = smaller than 1, move decimal 5 places =
yt yt yt yt yt yt yt yt yt yt yt yt
0.0000826
5.)5.38 x 10- yt yt
3 = negative exponent = smaller than 1, move decimal 3 places =
yt yt yt yt yt yt yt yt yt yt yt yt
0.00538
6.)0.000673 = smaller than 1 = negative exponent, move decimal 4 plac
yt yt yt yt yt yt yt yt yt yt yt
s = 6.73yt yt
x 10-4
yt
1yt/
yt17
,7.)3.82 x 104 = positive exponent = larger than 1, move decimal 4 place
yt yt yt yt yt yt yt yt yt yt yt yt yt
= 38200. yt
8.)623000000. = larger than 1 = positive exponent, move decimal 8 plac
yt yt yt yt yt yt yt yt yt yt yt
s = 6.23
yt yt
X 108yt
2.1.2: METRIC SYSTEM - UNIT CONVERSIONS: 1 foot (ft)=12 inches (in)
yt yt yt yt yt yt yt yt yt yt
1 kilogram (kg)=1000 gram
yt yt yt
s (g) 1 pound (lb)=16 ounce
yt yt yt yt yt
s (oz)
yt
1 gallon (gal)=4 quarts (qt)
yt yt yt yt y
1000 milliliters (ml)=1 liter
t yt yt yt yt
(L)
2yt/
yt17
, 100 centigrams (cg)=1 gra yt yt yt
m (g) 10 decimeters (dm)=1
yt yt yt yt
meter (m)
yt yt
3.The prefixes kilo (= 1000), milli (= 1/1000), centi (= 1/100), and deci (= 1/1
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
0): are used with any metric unit, such as grams (weight), liters (volum
yt yt yt yt yt yt yt yt yt yt yt yt
e), and meters (distance).
yt yt yt
4.The original quantity and unit (to be converted) are multiplied by a conver-
yt yt yt yt yt yt yt yt yt yt yt yt
sion factor (which is a fraction made up as follows):
yt yt yt yt yt yt yt yt yt yt
New unit (on top) / Old unit (on bottom): 48 ounces = ?
yt yt yt yt yt yt yt yt yt yt yt yt
pounds 48 o z × 1 p o u n d / 16 o z = 3 p o u n d s
yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt
4 kilograms = ? grams
yt yt yt yt
4 Kg X 1000 grams/1kg = 4000 grams
yt yt yt yt yt yt yt
1.) 656 cm x 1 m / 100 cm = 6.56 m
yt yt yt yt yt yt yt yt yt yt yt
2.)20 gal x 4 qt / 1 gal = 80 qts yt yt yt yt yt yt yt yt yt yt
3.)7820 ml x 1 liter / 1000 ml = 7.82 liters yt yt yt yt yt yt yt yt yt yt
4.)36 g x 1000 mg / 1 g = 36000 mg yt yt yt yt yt yt yt yt yt yt
5.)25.3 g x 10 dc / 1 g = 253 dg yt yt yt yt yt yt yt yt yt yt
6.)6.2 m x 1000 mm / 1 m = 6200 mm yt yt yt yt yt yt yt yt yt yt
7.)725 l x 1000 ml / 1 liter = 725,000 ml yt yt yt yt yt yt yt yt yt yt
8.)56 ft x 12 in / 1 ft = 672 in yt yt yt yt yt yt yt yt yt yt
5.1.3: TEMPERATURE CONVERSIONS: 1.) 132 oC + 273 = 405 oK
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2.) 132 oF - 32 x 1.8 = 55.6 oC + 273 = 328.6 oK
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
3.) 285 oK - 273 = 12 oC
yt yt yt yt yt yt yt
4.) 60 oC x 1.8 + 32 = 140 oF
yt yt yt yt yt yt yt yt yt
5.) 85 oF - 32 x 1.8 = 29.4 oC
yt yt yt yt yt yt yt yt yt
6.) 52 oC + 273 = 325 oK
yt yt yt yt yt yt yt
7.) 32 oC x 1.8 + 32 = 89.6 oF
yt yt yt yt yt yt yt yt yt
8.) 412 oK - 273 = 139 oC x 1.8 + 32 = 282.2 oF
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
6.K to °C(°C and K differ by 273): K (larger) - 273 = °C (smaller)
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
7.°C to K(°C and K differ by 273): °C (smaller) + 273 = K (larger)
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
3yt/
yt17
With Complete Solution
1.1.1 EXPONENTIAL NUMBERS: The speed of light is 186,000 miles per se
yt yt yt yt yt yt yt yt yt yt yt
cond. This is 1.86 x 105 (in exponential form)
yt yt yt yt yt yt yt yt
The diameter of an E. coli cell is 0.00000080 meters = 8.0 x 10-
yt yt yt yt yt yt yt yt yt yt yt yt yt
7 (in exponential form)
yt yt yt
4950000000. A number larger than one will have a positive exponent. Mo
yt yt yt yt yt yt yt yt yt yt yt
e the decimal point nine places to the left to give 4.95 x 109
yt yt yt yt yt yt yt yt yt yt yt yt yt
0.00000000000056 A number smaller than one will have a negative expon yt yt yt yt yt yt yt yt yt yt
ent. Move the decimal point 13 places to the right to give 5.6 x 10-13
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
1.)0.00000456 = smaller than 1 = negative exponent, move decimal 6 pla
yt yt yt yt yt yt yt yt yt yt yt
ces = 4.56 yt yt
x 10-6
yt
2.)2.63 x 107 = positive exponent = larger than 1, move decimal 7 place
yt yt yt yt yt yt yt yt yt yt yt yt yt
= yt
26300000.
3.)7800000. = larger than 1 = positive exponent, move decimal 6 places
yt yt yt yt yt yt yt yt yt yt yt yt
7.8 x 106
yt yt yt
4.)8.26 x 10- yt yt
5 = negative exponent = smaller than 1, move decimal 5 places =
yt yt yt yt yt yt yt yt yt yt yt yt
0.0000826
5.)5.38 x 10- yt yt
3 = negative exponent = smaller than 1, move decimal 3 places =
yt yt yt yt yt yt yt yt yt yt yt yt
0.00538
6.)0.000673 = smaller than 1 = negative exponent, move decimal 4 plac
yt yt yt yt yt yt yt yt yt yt yt
s = 6.73yt yt
x 10-4
yt
1yt/
yt17
,7.)3.82 x 104 = positive exponent = larger than 1, move decimal 4 place
yt yt yt yt yt yt yt yt yt yt yt yt yt
= 38200. yt
8.)623000000. = larger than 1 = positive exponent, move decimal 8 plac
yt yt yt yt yt yt yt yt yt yt yt
s = 6.23
yt yt
X 108yt
2.1.2: METRIC SYSTEM - UNIT CONVERSIONS: 1 foot (ft)=12 inches (in)
yt yt yt yt yt yt yt yt yt yt
1 kilogram (kg)=1000 gram
yt yt yt
s (g) 1 pound (lb)=16 ounce
yt yt yt yt yt
s (oz)
yt
1 gallon (gal)=4 quarts (qt)
yt yt yt yt y
1000 milliliters (ml)=1 liter
t yt yt yt yt
(L)
2yt/
yt17
, 100 centigrams (cg)=1 gra yt yt yt
m (g) 10 decimeters (dm)=1
yt yt yt yt
meter (m)
yt yt
3.The prefixes kilo (= 1000), milli (= 1/1000), centi (= 1/100), and deci (= 1/1
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
0): are used with any metric unit, such as grams (weight), liters (volum
yt yt yt yt yt yt yt yt yt yt yt yt
e), and meters (distance).
yt yt yt
4.The original quantity and unit (to be converted) are multiplied by a conver-
yt yt yt yt yt yt yt yt yt yt yt yt
sion factor (which is a fraction made up as follows):
yt yt yt yt yt yt yt yt yt yt
New unit (on top) / Old unit (on bottom): 48 ounces = ?
yt yt yt yt yt yt yt yt yt yt yt yt
pounds 48 o z × 1 p o u n d / 16 o z = 3 p o u n d s
yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt yt
4 kilograms = ? grams
yt yt yt yt
4 Kg X 1000 grams/1kg = 4000 grams
yt yt yt yt yt yt yt
1.) 656 cm x 1 m / 100 cm = 6.56 m
yt yt yt yt yt yt yt yt yt yt yt
2.)20 gal x 4 qt / 1 gal = 80 qts yt yt yt yt yt yt yt yt yt yt
3.)7820 ml x 1 liter / 1000 ml = 7.82 liters yt yt yt yt yt yt yt yt yt yt
4.)36 g x 1000 mg / 1 g = 36000 mg yt yt yt yt yt yt yt yt yt yt
5.)25.3 g x 10 dc / 1 g = 253 dg yt yt yt yt yt yt yt yt yt yt
6.)6.2 m x 1000 mm / 1 m = 6200 mm yt yt yt yt yt yt yt yt yt yt
7.)725 l x 1000 ml / 1 liter = 725,000 ml yt yt yt yt yt yt yt yt yt yt
8.)56 ft x 12 in / 1 ft = 672 in yt yt yt yt yt yt yt yt yt yt
5.1.3: TEMPERATURE CONVERSIONS: 1.) 132 oC + 273 = 405 oK
yt yt yt yt yt yt yt yt yt yt
2.) 132 oF - 32 x 1.8 = 55.6 oC + 273 = 328.6 oK
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
3.) 285 oK - 273 = 12 oC
yt yt yt yt yt yt yt
4.) 60 oC x 1.8 + 32 = 140 oF
yt yt yt yt yt yt yt yt yt
5.) 85 oF - 32 x 1.8 = 29.4 oC
yt yt yt yt yt yt yt yt yt
6.) 52 oC + 273 = 325 oK
yt yt yt yt yt yt yt
7.) 32 oC x 1.8 + 32 = 89.6 oF
yt yt yt yt yt yt yt yt yt
8.) 412 oK - 273 = 139 oC x 1.8 + 32 = 282.2 oF
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
6.K to °C(°C and K differ by 273): K (larger) - 273 = °C (smaller)
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
7.°C to K(°C and K differ by 273): °C (smaller) + 273 = K (larger)
yt yt yt yt yt yt yt yt yt yt yt yt yt yt
3yt/
yt17
