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## PowerPoint Slideshow about 'Scientific Notation' - hector

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### Scientific Notation

Ch. 3

Scientific Notation

- We use scientific notation because we deal with very large and very small numbers.
- Scientific notation is written as a product of 2 numbers. The first is a coefficient, and the second is 10 raised to a power called an exponent.
Coefficient is always a number greater than 1 and less than 10.

The exponent equals the number of places the original decimal point has been moved to write in scientific notation.

Scientific Notation

- When moving the decimal to the left, the exponent is positive
Ex. 1 36,000 is written as 3.6 X 104

- When moving the decimal to the right, the exponent is negative
Ex. 20.0081 is written as 8.1 X 10-3

Multiplying using scientific notation

- To multiply, simply multiply the coefficients and add the exponents
Ex. (3.0 X 104) x (2.0 X 102)

(3.0 x 2.0) X 10 4+2

6.0 X 106

Dividing using scientific notation

- To divide, simply divide the coefficients and subtract the exponents.
- Ex. (3.0 X 104) / (2.0 X 102)
(3.0 / 2.0) X 10 4-2

1.5 X 102

Addition or subtraction using scientific notation

- To add or subtract, the exponents must be made to be the same. This is like lining up the decimal when we add or subtract.
Ex. (5.40 X 103) + (6.0 X 102)

First, make the exponent the same

(5.40 X 103) + (.60 X 103)

Now just add or subtract the coefficients

(5.4 + .60) X 103 = 6.0 X 103

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