5. BONUS: Mathematical Operations and Functions
Multiplication and Division Operations
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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 gonna say when you multiply values in scientific notation you multiply the coefficients. Remember your coefficients are these values here, in this case it'd 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 times 10 to the x, times b times 10 to the y, what we are doing here is we are 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 being divided by b times 10 and now we have 10x divided by 10y so that becomes Now we're going to say we have to remember this. After multiplying and or dividing, remember that for the coefficients we will have the least number of significant figures. So least number of sig figs. When you multiply or divide, it's least number of sig figs. When you add or subtract, it's 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 up 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.
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