Scientific Notation
Scientific Notation
101 = 10102 = 10 x 10 = 100103 = 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 =
RulesWrite 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
RulesWrite 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 = RulesWrite 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
RulesWrite 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 10) x (2.60 x 1066) = ) =
(5.405 x 10(5.405 x 1066) + (3.09 x 10) + (3.09 x 1055) =) =
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.
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