Scientific Notation. 10 1 = 10 10 2 = 10 x 10 = 100 10 3 = 10 x 10 x 10 = 1000.

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Presentation transcript:

Scientific Notation

10 1 = = 10 x 10 = = 10 x 10 x 10 = 1000

Scientific Notation, cont = 1/10 = = 1/(10x10) = = 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 = x 10 3 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: = = 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: = 1.37 x = 6.8 x 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 ) x (2.60 x 10 6 ) = (2.340 x ) x (2.60 x 10 6 ) = (5.405 x 10 6 ) + (3.09 x 10 5 ) = (5.405 x 10 6 ) + (3.09 x 10 5 ) =

Assignment Read Ch 2.7 in text Do assigned homework problems found in the range Note: NOT all problems in this range, just the assigned ones.