Portage Chemistry 103 Module 1 Exam Study
1. 1.1 EXPONENTIAL NUMBERS The speed of light is 186,000 miles per
second. This is 1.86 x 105 (in exponential
form)
The diameter of an E. coli cell is
0.00000080 meters = 8.0 x 10-7 (in ex-
ponential form)
4950000000. A number larger than one
will have a positive exponent. Move the
decimal point nine places to the left to
give 4.95 x 109
0.00000000000056 A number smaller
than one will have a negative exponent.
Move the decimal point 13 places to the
right to give 5.6 x 10-13
1.) 0.00000456 = smaller than 1 = neg-
ative exponent, move decimal 6 places =
4.56 x 10-6
2.) 2.63 x 107 = positive exponent =
larger than 1, move decimal 7 places =
26300000.
3.) 7800000. = larger than 1 = positive
exponent, move decimal 6 places = 7.8 x
106
4.) 8.26 x 10-5 = negative exponent =
smaller than 1, move decimal 5 places =
0.0000826
, Portage Chemistry 103 Module 1 Exam Study
5.) 5.38 x 10-3 = negative exponent =
smaller than 1, move decimal 3 places =
0.00538
6.) 0.000673 = smaller than 1 = negative
exponent, move decimal 4 places = 6.73
x 10-4
7.) 3.82 x 104 = positive exponent =
larger than 1, move decimal 4 places =
38200.
8.) 623000000. = larger than 1 = positive
exponent, move decimal 8 places = 6.23
X 108
2. 1.2: METRIC SYSTEM - UNIT CONVERSIONS 1 foot (ft)=12 inches (in)
1 kilogram (kg)=1000 grams (g)
1 pound (lb)=16 ounces (oz)
1 gallon (gal)=4 quarts (qt)
1000 milliliters (ml)=1 liter (L)
100 centigrams (cg)=1 gram (g)
10 decimeters (dm)=1 meter (m)
3. The prefixes kilo (= 1000), milli (= 1/1000), are used with any metric unit, such as
centi (= 1/100), and deci (= 1/10) grams (weight), liters (volume), and me-
ters (distance).
4. The original quantity and unit (to be con- 48 ounces = ? pounds
verted) are multiplied by a conversion factor 48 o z × 1 p o u n d / 16 o z = 3 p o u n d
(which is a fraction made up as follows): s
New unit (on top) / Old unit (on bottom)
, Portage Chemistry 103 Module 1 Exam Study
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
5. 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
6. K to °C(°C and K differ by 273) K (larger) - 273 = °C (smaller)
7. °C to K(°C and K differ by 273) °C (smaller) + 273 = K (larger)
1. 1.1 EXPONENTIAL NUMBERS The speed of light is 186,000 miles per
second. This is 1.86 x 105 (in exponential
form)
The diameter of an E. coli cell is
0.00000080 meters = 8.0 x 10-7 (in ex-
ponential form)
4950000000. A number larger than one
will have a positive exponent. Move the
decimal point nine places to the left to
give 4.95 x 109
0.00000000000056 A number smaller
than one will have a negative exponent.
Move the decimal point 13 places to the
right to give 5.6 x 10-13
1.) 0.00000456 = smaller than 1 = neg-
ative exponent, move decimal 6 places =
4.56 x 10-6
2.) 2.63 x 107 = positive exponent =
larger than 1, move decimal 7 places =
26300000.
3.) 7800000. = larger than 1 = positive
exponent, move decimal 6 places = 7.8 x
106
4.) 8.26 x 10-5 = negative exponent =
smaller than 1, move decimal 5 places =
0.0000826
, Portage Chemistry 103 Module 1 Exam Study
5.) 5.38 x 10-3 = negative exponent =
smaller than 1, move decimal 3 places =
0.00538
6.) 0.000673 = smaller than 1 = negative
exponent, move decimal 4 places = 6.73
x 10-4
7.) 3.82 x 104 = positive exponent =
larger than 1, move decimal 4 places =
38200.
8.) 623000000. = larger than 1 = positive
exponent, move decimal 8 places = 6.23
X 108
2. 1.2: METRIC SYSTEM - UNIT CONVERSIONS 1 foot (ft)=12 inches (in)
1 kilogram (kg)=1000 grams (g)
1 pound (lb)=16 ounces (oz)
1 gallon (gal)=4 quarts (qt)
1000 milliliters (ml)=1 liter (L)
100 centigrams (cg)=1 gram (g)
10 decimeters (dm)=1 meter (m)
3. The prefixes kilo (= 1000), milli (= 1/1000), are used with any metric unit, such as
centi (= 1/100), and deci (= 1/10) grams (weight), liters (volume), and me-
ters (distance).
4. The original quantity and unit (to be con- 48 ounces = ? pounds
verted) are multiplied by a conversion factor 48 o z × 1 p o u n d / 16 o z = 3 p o u n d
(which is a fraction made up as follows): s
New unit (on top) / Old unit (on bottom)
, Portage Chemistry 103 Module 1 Exam Study
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
5. 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
6. K to °C(°C and K differ by 273) K (larger) - 273 = °C (smaller)
7. °C to K(°C and K differ by 273) °C (smaller) + 273 = K (larger)
