Honors Environmental Science
Name ______________________________
Per _____ Date ________________________
Basic Math Review PPT Worksheet
Scientific Notation Examples
Express the following in scientific notation
0.2713 =
314159 =
6022 =
0.12011 =
Express the following in standard or expanded form
4.44 x 10-6 =
7.121 x 109 =
1.2 x 10-1 =
1.8 x 102 =
Solve the following scientific notation calculations
a. (3.0 x 10-8)(6.0 x 102) =
b. (2.0 x 104) ÷ (1.0 x 1013)=
c. (2.0 x 102) + (3.0 x 103) =
d. (2.5 x 103)(2.0 x 10-7) =
e. (7.0 x 101) =
(3.5 x 10-3)
f. (5.5 x 103) - (5.0 x 102) =
Metric Conversion Examples
1. 876 milliliters to liters
5) 11.7 grams to kilograms
2.
78,999 milligrams to grams
6) 0.0009 kiloliters to liters
3.
0.9 centigrams to grams
7) 44 centimeters to meters
4.
112 meters to millimeters
8) 277 kilograms to grams
Dimensional Analysis Examples
Given:
2.54 cm = 1 inch
3.79 L = 1 gallon
16 ounces = 1 pound
1 L = 1000 mL
1 mile = 5280 feet
454 g = 1 pound
1 calorie = 4.18 Joules
1 mole = 6.02 X 1023 atoms
1 gallon = 4 quarts
1 ft = 12 inches
1 mL = 1 cm3
Solve:
5.7 inches = _____________ cm
85 ounces = ________________ lbs
125 grams = ______________ lbs
72 cm3 = ______________ mL
2.5 miles = ______________ feet
4 moles = ________________ atoms
The Metric System Review
/
kg
X
Might also need:
12
Tera (T) 10
9
Giga (G) 10
6
Mega (M) 10
-6
Micro (u) 10
-9
Nano (n) 10
-12
Pico (p) 10
METRIC CONVERSIONS USING DIMENSIONAL ANALYSIS:
1,000,000 µg = 1g
1,000,000 µL = 1 L
1,000mg = 1 g
1,000mL = 1 L
100cg = 1 g
100cL = 1 L
10dg = 1 g
10dL = 1 L
1 kg = 1,000g
1 kL = 1,000 L