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