# How do you write the answer in scientific notation given #(3.4times10^-1)(3.1times10^-2)#?

##### 2 Answers

#### Explanation:

Scientific notation is a notation which can be written as

where

When multiplying, the first thing to do is to multiply the like terms.

So the answer looks like it should be

but it isn't, because

#### Explanation:

Consider the product:

In algebra we multiply the numbers:

Then add the indices of bases that are the same:

Scientific notation works in exactly the same way:

Multiply the numbers:

Add the indices of bases that are the same:

However a value in scientific notation must only have one digit before the decimal point. it is written in the form: