1 / 6

# Scientific Notation - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Scientific Notation' - hector

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Scientific Notation

Ch. 3

• 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.

• 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

• 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

• 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

• 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