# The Multiplication Property of Zero: Definition & Examples

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: How to Find the Greatest Common Factor

### You're on a roll. Keep up the good work!

Replay
Your next lesson will play in 10 seconds
• 0:08 Marching to the Beat…
• 0:24 Zero Plays By Its Own Rules
• 0:35 The Multiplication…
• 2:14 Lesson Summary

Want to watch this again later?

Timeline
Autoplay
Autoplay
Create an account to start this course today
Try it free for 5 days!

#### Recommended Lessons and Courses for You

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

To unlock this lesson you must be a Study.com Member.

### Register for a free trial

Are you a student or a teacher?
Back

Back

### Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.