Lesson Page

Math A

Standard Form to Scientific Notation

 

To Change from Standard Form to Scientific Notation:

(1) Place decimal point such that there is one non-zero digit to the left of the decimal point.

 

(2) Count number of decimal places the decimal has "moved" from the original number.  This will be the exponent of the 10.

 

(3) If the original number was less than 1, the exponent is negative; if the original number was greater than 1, the exponent is positive.

 

Examples:

Given:  4,750,000
use: 4.75 (moved 6 decimal places)
answer:  4.75 X 106

The original number was greater than 1 so the exponent is positive.

 

Given:  0.000789
use: 7.89 (moved 4 decimal places)
answer:  7.89 x 10-4

The original number was less than 1 so the exponent is negative.

 

 


Lloyd