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The Multiplication Property of Zero: Definition & Examples

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  • 0:08 Marching to the Beat…
  • 0:24 Zero Plays By Its Own Rules
  • 0:35 The Multiplication…
  • 2:14 Lesson Summary
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Lesson Transcript
Instructor: Jennifer Beddoe
The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

Marching to the Beat of a Different Drummer

You have those friends, we all do. You know, the people who are a bit quirky, who don't do things quite like anyone else. Fortunately, the world is a better place because we are not all the same. And often, it's those people you know that are the most different that make life the most interesting.

Zero Plays by Its Own Rules

In the math world, zero is the quirky friend. It doesn't follow the same rules as all the other numbers. It has its own unique properties that allow it to make math more interesting.

The Multiplication Property of Zero

One of zero's unique rules is called the multiplication property. The multiplication property states that the product of any number and zero is zero. It doesn't matter what the number is, when you multiply it to zero, you get zero as the answer. So:

  • 2 x 0 = 0
  • 127 x 0 = 0
  • 52,004,378 x 0 = 0

And so on and so on. The rule is also true for any algebraic terms.

  • x x 0 = 0
  • a^2 x 0 = 0
  • x^3y^5z^2 x 0 = 0

It doesn't much matter what else is going on, anything you multiply with zero will equal zero.

  • (2 + 5) x 0 = 0
  • 2(a + b - c^2) x 0 = 0

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