What are the rules of scientific notation?

Answer 1

Scientific notation is simply a method for expressing, and working with, very large or very small numbers. It is a short hand method for writing numbers, and an easy method for calculations. Numbers in scientific notation are made up of three parts: the coefficient, the base and the exponent. Observe the example below:

5.67 x 10^5

This is the scientific notation for the standard number, 567 000. Now look at the number again, with the three parts labeled.

5.67 x 10^5

coefficient base exponent

In order for a number to be in correct scientific notation, the following conditions must be true:

1. The coefficient must be greater than or equal to 1 and less than 10.

2. The base must be 10.

3. The exponent must show the number of decimal places that the decimal needs to be moved to change the number to standard notation. A negative exponent means that the decimal is moved to the left when changing to standard notation.

Answer 2

Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 1 <= |a| < 10 is a decimal number and b is an integer (negative or positive). a is called the mantissa and b is called the exponent.

Answer 3

The procedures depend on what you wish to do. You have not specified that and so I cannot give a more helpful answer.

Answer 4

The rules depend on what operation you wish to carry out and since you have not specified that it is not possible to give a more substantive reply.