Show ALL of your work and
steps of calculations, even if
they are too simple.
Show all of your units, too!
Scientific notation
Expresses a numbers in the form of exponents as the product of a
number (between 1 and 10) and raised to a power of 10.
650 000  6.5 x 105
0.000543  5.43 x 10-4
When adding or subtracting numbers with exponents the exponents of
each number must be the same before you can do the operation.
Example:
(1.9 x 10-3) – (1.5 x 10-4 ) goes to (19 x 10-4 ) - (1.5 x 10-4 ) = 17.5 x 10-4
Scientific notation
When multiplying numbers with base 10 exponents, multiply the first factors,
and then add the exponents.
Example:
3.1 x 105
4.5 x 105
13.95 x 1010 or 1.4 x 1011
When dividing numbers, the exponents are subtracted, numerator exponent
minus denominator exponent.
Example:
9 x 10 5
= 27 x 10 3 or 2.7 x 10 4
3 x 10 2
Dimensional Analysis
Given Value x Conversion factor
1
= Answer
Example:
24 ft x 1 yd
3 ft
x
36 inches x 1 meter = 7.34 meters
1 yd
39 inches
Percent change
New- Old = Percent change
Old
Conversions from US to metric
will probably be given and do not
need to be memorized. They
should be practiced, however.
Gallons to Liters
Liters to Gallons
Meters to Yards
Yards to Meters
Grams to Ounces
Ounces to Grams
Kilograms to Pounds
Pounds to Kilograms
Miles to Kilometers
Kilometers to Miles
1 gal= 3.8 L
1 L, l= .264 gal
1 m= 1.094 yd
1 yd= .914 m
1 g= .035 oz
1 oz= 28.35 g
1 kg= 2.2 lb
1 lb= 454 g
1 mi= 1.609km
1 km= .621 mi
•
•
Know
how
to
graph
data
Title the graph
Set up the independent variable
along the X axis
Study Time
100
•
•
Set up the dependent variable
along the Y axis
Label each axis and give the
appropriate units
Make proportional increments
along each axis so the graph is
spread out over the entire graph
area
90
Grade Percentages on Tests
•
80
70
60
50
40
30
20
10
0
1
•
Plot points and sketch a curve if
needed. Use a straight edge to
connect points unless told to
extrapolate a line.
•
Label EACH curve if more than
one is plotted.
2
3
4
Hours per Week
5
6
“per capita” means per person
16. Be able to interpolate and
extrapolate data
Rule of 70
70 / annual percentage growth rate =
Number of years to double