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Absolute Value - Example 1

In mathematics, the absolute value or modulus |x| of a real number x is its numerical value without regard to its sign. The absolute value of a number may be thought of as its distance from zero along a number line; this interpretation is analogous to the distance function assigned to a real number in the real number system. For example, the absolute value of ?4 is 4, and the absolute value of 4 is 4, both without regard to sign.

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Nizamuddeen A.

April 29, 2021

tysm

Pranati K.

June 1, 2021

k

Pranati K.

June 1, 2021

JR

Jafari R.

June 6, 2021

The audio keeps cutting out for me

CN

Camila N.

June 11, 2021

why does the audio keep cutting off throughout the video ?

JH

Joey H.

June 18, 2021

Very well explained.

JH

Joey H.

June 18, 2021

Ihab I.

June 22, 2021

zero ---------------------------- zero

Ihab I.

June 22, 2021

Audra L.

July 16, 2021

Yes I found that it did cut out too, but if you click back just a click of a second it will restart repeating a word or two of what you just heard but I found if you do this through the video you can watch the whole and understand it as well, I know a pai

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Missouri State University

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Campbell University

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McMaster University

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Harvey Mudd College

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Video Transcript

we're being asked to find the opposite for each number. So remember, the opposite means it's a number that's the same distance from zero on the number line. Just it appears on the opposite side of the number line. So in other words, if it's positive, if the original numbers positive, he ever has to be negative. And if the original numbers negative, the upper will have to be positive. So let's start with Part A. We have positive five, so we have to think of what number would be five minutes away. But in the negative side of our number line. Well, that would be negative. Five. So notice the opposite really just means you need the opposite sign. So for Part B, we have negative 16. So we have to think of what number is 16 units away from zero on the positive side of the number one? Well, that would be positive. 16. So notice the opposite of a positive is a negative, and the opposite negative is a positive well part. See, we have a decimal value, so we have negative 9.8. But just because it's a decimal doesn't mean it changes anything so the number that would be 9.8 units away. On the positive side would just be positive. 9.8. And lastly, we have a fraction We have one half. So we have to think of a number that is one half unit away from zero, but on the opposite side of the number line. Well, that would simply just be negative one half. So again, notice to find the opposite of a number. All you're doing is changing the sign. If it starts positive, it will become negative. And if it starts negative, it will become positive.

Syracuse University
Top Algebra Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Alayna H.

McMaster University

Kayleah T.

Harvey Mudd College

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