Download Scientific and Standard Notation_Percent Error

Scientific and Standard
Notation
Why do we use Scientific Notation
• Used to make very large (or small)
confusing numbers easy to read.
Scientific Notation
• Written in the form of M X 10n
• M is a number between 1 and
9.999…..but not 10!!
• “N” is the number of times we move the
decimal
• +N Tells us it’s a number >1 (Large number)
• Move the decimal to the right.
• 4.6 x 105
• -N Tells us it’s a number <1 (Small number)
• Move the decimal to the left.
• 4.6 x 10-5
Examples
Distance between the Earth to the
nearest star
40,000,000,000,000 miles
Diameter of a nucleus of an atom
0.000 000 01 centimeters
Standard to Scientific Notation
40,000,000,000,000
0.000 000 01
Scientific to Standard Notation
• Average distance between the Earth and Sun
1.49 x 1011 km = _________________________
149,000,000,000.0 km
.
1.49 000000000 0 km
Scientific to Standard Notation
0.000 002
0.2 x 10-5 = _________________________
.
0 0 0 0 00.2
Common Numbers We See
Quick Review:
• Put these values into
Scientific Notation:
– 6,870,000
– 0.000000000478
• Put these values into
Standard Notation:
– 4.6 X 10 9
– 7.86 X 10 -5
– 3.2 X 10 0
– 2.0
a) What is % Error?
1. How far from the true or accepted
answer my calculation is
2. How “wrong” I am
3. The percent error in my calculation or
measurement
b) Add formula to your ESRT p. 1
(equations box)
c) Used to evaluate the validity of a
measurement or calculation
• % Error = mv – av X 100
av
mv = measured value
av = accepted value
Practice….
1. Mr. Babicz measured the height of his new
bookcase to be 4.85 m. The manufacturer’s
measurement of the bookcase’s height is 4.50
m. Calculate Mr. Babicz’s percent error:
1. The actual density of water is 1.0 g/mL. A
student measured the density to be 1.14 g/mL.
What is the percent error of this calculation?