How do you multiply expressions written in scientific notation?
Expressions can be easily multiplied when written in scientific notation by:
1. First, multiplying the numbers other than the powers of 10.
2. Second, multiplying the powers of 10
And then, writing them as a product.
Let us take the general case first.
Multiplying two numbers
First, multiplying the numbers other than the powers of 10, we get:
Second, multiplying the powers of 10 we get
And then writing them as a product, we get
Note: When the bases of 2 numbers are equal, their powers can be added up!
Now, let's take some specific examples.
Notice that this answer is not in the standard form. So, converting this into standard form, we get: