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Property of zero.Additive Property of Zero: Definition & Examples

Anything times zero will always be zero. Zero is a number with its own unique rules and properties. It does not act like the other numbers, positive or negative.

One of zero’s special properties is the multiplication property. This property states that the answer to any multiplication problem with a zero is always zero. Subsequent to studying this video lesson, you could recognize the multiplication property of zero as one of zero’s unique rules, and relate it to real-world examples.

To unlock this lesson you must be a Study. Create your account. The Zero Property of Multiplication states that when a number is multiplied by zero, the answer is also zero. It does not matter what that number is. The definition of the zero property in math is multiplying any number by zero is equal to zero. Already a member? Log In. Sign Up. Explore over 4, video courses. Academic Courses College and Professional Courses. Lesson Transcript. Learn about the zero property of multiplication.

Read the zero property definition, study examples of the zero property, and discover why it is important in math. Table of Contents What is the Zero Property? What is the Zero Property? No matter how you dress it up, anything times zero is zero.

Marching to the Beat of a Different Drummer You have those friends, we all do. An error occurred trying to load this video. Try refreshing the page, or contact customer support. You must c C reate an account to continue watching.

Register to view this lesson Are you a student or a teacher? I am a student I am a teacher. It only takes a few minutes to setup and you can cancel any time. What teachers are saying about Study. Take Quiz Watch Next Lesson. Just checking in. Are you still watching? Keep playing. Your next lesson will play in 10 seconds. Save Save Save. Want to watch this again later? How to Use the Zero Property of Multiplication The Zero Property of Multiplication is important to keep in mind, particularly when simplifying algebraic expressions.

Examples of the Zero Property Let’s look at some different types of equations where the Zero Property would be used. Example One: 4 x 0 Simply put, if we have zero quantities of four, then we have zero. From here, we will solve some word problems using the Zero Property of Multiplication.

Example Five: Half of Avery’s wishlist is on sale. There are 28 games total. Unfortunately, Avery didn’t have any extra money to partake in the sale, so they didn’t buy any. How many new games were added to Avery’s library? Example Six: Chandra is writing a novel.

Her goal is 1, words per day. After seven days, her notebook is blank. Assuming Chandra wrote the same number of words per day, how many words did Chandra write per day? Words do not magically appear by themselves, unfortunately. The Multiplication Property of Zero One of zero’s unique rules is called the multiplication property.

The rule is also true for any algebraic terms. Lesson Summary Zero is a number with its own unique rules and properties. Learning Outcome Subsequent to studying this video lesson, you could recognize the multiplication property of zero as one of zero’s unique rules, and relate it to real-world examples.

Video Transcript. Frequently Asked Questions. What is the zero property of multiplication? What is the definition of zero property in math? Unlock Your Education See for yourself why 30 million people use Study. Become a Member Already a member? Log In Back. Related Courses. Create an account to start this course today.

Like this lesson Share. Explore our library of over 84, lessons Search. Browse Browse by subject. I’m gonna put a red box around it so that it really gets stuck in your brain, and I want you to think about why that is.

Try to come up with two numbers. Try to multiply them so that you get zero, and you’re gonna see that one of those numbers is going to need to be zero.

So we’re gonna use this idea right over here. Now this might look a little bit different, but you could view two X minus one as our A, and you could view X plus four as our B. So either two X minus one needs to be equal to zero, or X plus four needs to be equal to zero, or both of them needs to be equal to zero. So I could write that as two X minus one needs to be equal to zero, or X plus four, or X, let me do that orange.

Actually, let me do the two X minus one in that yellow color. So either two X minus one is equal to zero, or X plus four is equal to zero.

X plus four is equal to zero, and so let’s solve each of these. If two X minus one could be equal to zero, well, let’s see, you could add one to both sides, and we get two X is equal to one. Divide both sides by two, and this just straightforward solving a linear equation. This is interesting ’cause we’re gonna have two solutions here, or over here, if we wanna solve for X, we can subtract four from both sides, and we would get X is equal to negative four.

So it’s neat. In an equation like this, you can actually have two solutions. I think it’s pretty interesting to substitute either one of these in. And so what’s this going to be equal to? One minus one is zero, so I don’t care what you have over here. Zero times anything is going to be equal to zero. And likewise, if X equals negative four, it’s pretty clear that this second expression is going to be zero, and even though this first expression isn’t going to be zero in that case, anything times zero is going to be zero.

Let’s do one more example here. So let me delete out everything that I just wrote here, and so I’m gonna involve a function. So let’s say someone told you that F of X is equal to X minus five, times five X, plus two, and someone said, “Find the zeros of F of X. When does F of X equal zero? For what X values does F of X equal zero? That’s what people are really asking when they say, “Find the zeros of F of X. Well, F of X is equal to zero when this expression right over here is equal to zero, and so it sets up just like the equation we just saw.

X minus five times five X plus two, when does that equal zero? And like we saw before, well, this is just like what we saw before, and I encourage you to pause the video, and try to work it out on your own. So there’s two situations where this could happen, where either the first expression equals zero, or the second expression, or maybe in some cases, you’ll have a situation where both expressions equal zero. So we could say either X minus five is equal to zero, or five X plus two is equal to zero.

I’ll write an, or, right over here. Now if we solve for X, you add five to both sides of this equation.

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Property of zero. Additive Property of Zero: Definition & Examples

Explanations 3 Eunji Kwon. Multiplication Property of Zero The multiplication property of zero is about multiplying 0. Image by Caroline Kulczycky. Let’s look at some examples. Show Solution Check. Related Lessons. View All Related Lessons. Hannah Bonville. The multiplicative property of zero doesn’t take very long to explain. Here it is:. Let’s try one or two practice problems just to make sure you’ve got it. Alex Federspiel. Video Multiplication Properties of 0 and 1 by mathman This means that any number multiplied by 0 will give a 0.

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Properties of zero The two properties of zero are the addition property of zero and the multiplication property of zero.

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Zero Property of Multiplication – Definition, Examples

In our reading example, we added 0 no pages to 40 pages. Let’s say you are in school and your teacher asks you to add and 0. Your answer will simply be Next, your teacher steps it up a notch and instructs you to find the sum of 0 and 1, You don’t let that big, scary number faze you because you know that it does not matter what the other number is. When zero is added, that other number will stay the same. You know your teacher is talking about adding because the word sum indicates adding the two values.

You confidently tell your teacher that the answer is 1, Yesterday, you made five dollars in allowance from doing the laundry. But, your parents did not give you any money for taking out the trash. How much total money in allowance did you make yesterday?

Well, simply add five and zero to get your grand total of five dollars. It’s the end of baseball season and you are trying to tally up the amount of runs you had this season. You had six games. You scored one run during the first game, three during the second game, two during the third game, five during the fourth game, one during the fifth game, and none during the sixth game.

How many runs did you score in all? To solve, simply add up the numbers 1, 3, 2, 5, and 1 to get The two properties of zero are the addition property of zero and the multiplication property of zero. Basic number properties. Identity property of multiplication. Formula for percentage. Math skills assessment. Compatible numbers. Everything you need to prepare for an important exam! Academic Courses College and Professional Courses.

Lesson Transcript. Learn about the zero property of multiplication. Read the zero property definition, study examples of the zero property, and discover why it is important in math.

Table of Contents What is the Zero Property? What is the Zero Property? No matter how you dress it up, anything times zero is zero. Marching to the Beat of a Different Drummer You have those friends, we all do.

An error occurred trying to load this video. Try refreshing the page, or contact customer support. You must c C reate an account to continue watching. Register to view this lesson Are you a student or a teacher? I am a student I am a teacher. It only takes a few minutes to setup and you can cancel any time. What teachers are saying about Study. Take Quiz Watch Next Lesson. Just checking in.

Are you still watching? Keep playing. Your next lesson will play in 10 seconds. Save Save Save. Want to watch this again later? How to Use the Zero Property of Multiplication The Zero Property of Multiplication is important to keep in mind, particularly when simplifying algebraic expressions. Examples of the Zero Property Let’s look at some different types of equations where the Zero Property would be used. Example One: 4 x 0 Simply put, if we have zero quantities of four, then we have zero.

From here, we will solve some word problems using the Zero Property of Multiplication. Example Five: Half of Avery’s wishlist is on sale. There are 28 games total. Unfortunately, Avery didn’t have any extra money to partake in the sale, so they didn’t buy any. How many new games were added to Avery’s library? Example Six: Chandra is writing a novel. Her goal is 1, words per day. After seven days, her notebook is blank. Any two numbers whose sum is zero are additive inverses of one another.

For example, if you add -5 to 5, you arrive at zero. So -5 and 5 are additive inverses of one another. The multiplication property states what every third-grader knows: Multiplying any number by zero results in a total of zero.

It’s obvious once ingrained but perhaps the reason is overlooked. Multiplication is, in one effect, a shortcut for addition. The concept of dividing by zero is even more senseless, so much so there is no property for it; the concept simply doesn’t exist since it can’t be carried out.

Even mathematicians often struggle to explain why dividing by zero doesn’t work. The reason is essentially related to the multiplication property. The concept of dividing by zero is fraught with illogical consequences, so much so that its mythical destructive power has become a joke on the Internet.