How to Multiply by 0

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  • 0:01 Multiplication by 0
  • 1:23 The Rule
  • 2:01 Examples
  • 2:35 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

In this video lesson, you will learn the one easy rule to remember when multiplying by 0. See how this single rule will give you the answer to any multiplication problem that includes a 0.

Multiplication by 0

In this lesson, we will talk about multiplication. Multiplication is repeated addition. Multiplication tells you how many times to add a certain number. For example, 4 * 2 tells you to add the 4 two times. The asterisk that you see is one of the symbols we use to show that we are using the multiplication operator. In this lesson, we will specifically talk about what happens when we multiply by 0. Knowing how to multiply by 0 will help you solve various math problems now and in your other math classes and tests.

So, let's think about what it means to multiply by 0. If multiplication tells you how many times to add a certain number, then multiplying by 0 means that you have nothing to add because 0 means nothing. So, 3 * 0 means that you are adding 3 zero, or no, times. What does that equal then? Well, if you are not adding anything, then you have nothing still and nothing is 0. So, 3 * 0 = 0. What if you were trying to multiply 0 * 5? Think about it. What are you adding up? This problem is telling you to add the 0 five times. What happens when you add 0 to 0? You get 0 because you're still not adding anything. Nothing added to nothing is still nothing. So, 0 * 5 = 0.

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