So in this video, we are going to take a look at what exactly do we do when we have sets of numbers in scientific notation and we are multiplying or dividing them. Now, we're going to say when you multiply values in scientific notation you multiply the coefficients. Remember, your coefficients are these values here, in this case, it would be variables a and b. And then we're going to add the exponents which are our powers. Here our powers are x and y. So when we are doing a×10x×b×10y, what we are doing here is multiplying a and b together and then we are going to add the exponents together. So this would be the answer to our expression. Now, when you divide the values in scientific notation you are going to divide the coefficients and you are going to subtract the exponents. So here we are going to have a÷b×10x−y as the result of division.

After multiplying and dividing, remember that for the coefficients we will have the least number of significant figures. When you multiply or divide, it's the least number of significant figures. When you add or subtract, it's the least number of decimal places.

Now that we've seen the basics in terms of multiplying and dividing numbers in scientific notation, let's take a look at the different examples that we have here. Here we have examples 1 and 2. We are going to apply what we learned above to answer them. We are going to approach them in the same method that we talked about in the previous two examples. Now, come back, take a look at example 1 and how we approach it. If you want to do it ahead of time on your own, you can do that as well.