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.