## Examples of Operations with Scientific Notation

### Example 1

First, let’s break it down to

Next, group the like terms then multiply

We’ll have

Remember, it should be greater than or equal to and less than .

So let’s simplify it further by moving one decimal space to the left.

We now have

### Example 2

Let’s divide the like terms

is

is

So our answer is

## Video-Lesson Transcript

Let’s multiply and divide numbers written in scientific notation. After you finish this lesson, view all of our Pre-Algebra lessons and practice problems.

Now, let’s move on to multiplying numbers written in scientific notation.

Here’s an example

Everything here should be multiplied

Let’s break it down to

Let’s group the like terms first then multiply

We’ll have

may look like a scientific notation but it’s not.

Remember, should be greater than or equal to and less than .

So let’s simplify it further by moving one decimal space to the left.

We now have

Let’s have two more examples.

Let’s multiply now is

then is

So now we have

We don’t have to make any adjustment because it is already in scientific notation form.

Let’s try this one

is

is

So we have

Then let’s move the decimal to get a value between and .

The answer is

Now, let’s do division of numbers written in scientific notation.

For example:

Let’s divide the like terms

is

is

So our answer is

Let’s have a more difficult one

Let’s do this

is

is

We have

But this is not a scientific notation.

To write it down, we have to move the decimal space.

The final answer should be