What Is the Rule for Multiplying?

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When it comes to multiplying numbers, there are a couple of things you're going to want to keep in mind. Learn about the rule for multiplying with help from a mathematics educator with over a decade of experience in this free video clip.

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Hi, I'm Jimmy Chang. We're here to talk about what is the rule for multiplying? Now, when it comes to multiplying numbers, there's a couple of things that you want to keep in mind, and it's about the signs of the numbers themselves. If you multiply numbers with the same signs, it'll always be positive. And if you're multiplying numbers with different signs, it'll be negative. So, here's a couple of illustrations. Now, the most obvious one is if you have a positive number times another positive number, like positive three times positive five, that's going to give you a positive number fifteen. It's when you have a negative number times another negative number that is going to give you a positive number. So, for example, if you have negative ten times negative two, negative times a negative is going to give you a positive. And then ten times two is going to give you twenty. Now, if the numbers are unlike in sign, if you have a positive times a negative, or a negative number times a positive number, since the signs are not alike, you will both end up with a negative value. So, for example, if you have negative four times positive seven, negative times a positive, that's going to give you a negative. Four times seven is going to give you twenty-eight. Similarly, if you have eleven times a negative three, positive times a negative, that's going to give you a negative. And eleven times three is going to give you thirty-three. So, the bottom line is, when it comes to rules for multiplying, if the numbers are the same in sign, then it'll be positive. But if the numbers are different in sign, it's going to be negative. So, I'm Jimmy Chang, and hopefully that answers the question, what is the rule for multiplying?

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