Transcript Chapter 2 Scientific Notation

Scientific Notation
Scientific Notation
101 = 10
102 = 10 x 10 = 100
103 = 10 x 10 x 10 = 1000
Scientific Notation, cont.
10-1 = 1/10 = 0.1
10-2 = 1/(10x10) = 0.01
10-3 = 1/(10x10x10) = 0.001
Using Scientific Notation
 For Large Numbers:
4.5 billion =
5283 =
 Rules
Write number with only one non-zero digit before the decimal
point.
Count how many places to the left the decimal point was moved
to accomplish this. Write this number as a positive exponent of
ten.
Using Scientific Notation
 For Large Numbers:
4.5 billion = 4,500,000,000= 4.5 x 109
5283 = 5.283 x 103
 Rules
Write number with only one non-zero digit before the decimal point.
Count how many places to the left the decimal point was moved to
accomplish this. Write this number as a positive exponent of ten.
Using Scientific Notation, cont.
 For Small Numbers:
0.00137 =
0.000068 =
Rules
Write number with only one non-zero digit before the
decimal point.
Count how many places to the right the decimal point
was moved to accomplish this. Write this number
as a negative exponent of ten.
Using Scientific Notation, cont.
 For Small Numbers:
0.00137 = 1.37 x 10-4
0.000068 = 6.8 x 10-5
 Rules
Write number with only one non-zero digit before the
decimal point.
Count how many places to the right the decimal point
was moved to accomplish this. Write this number
as a negative exponent of ten.
Putting it Together:
Sig Figs & Scientific Notation
(2.340 x 10-3) x (2.60 x 106) =
(5.405 x 106) + (3.09 x 105) =
Assignment
Read Ch 2.7 in text
Do assigned homework problems found
in the range 2.83-2.124. Note: NOT all
problems in this range, just the assigned
ones.