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### Course: Get ready for 7th grade>Unit 1

Lesson 4: Absolute value

# Absolute value examples

Learn how to find the absolute value of 5, -10, and 12. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• Wait-- so the absolute value is ALWAYS going to be positive?
• Apart from zero, yes always positive, it's a measure of distance from 0 on the number line (either to the left or the right)
• What would be the practical application of using an absolute value?
• http://mathforum.org/library/drmath/view/57177.html -1. Distances in real life: suppose you go three blocks east, then six
blocks west, then eleven blocks east again. Now we can ask two
questions: Where are you relative to where you started? This
requires us to retain the sign information, and is not answered by
the absolute value. The other obvious question is "How far did you
go?" Now every student in your class should add 3 + 6 + 11, each of
them doing at least one
• is the absolute value aways going to be positive
• Good question. The answer is...yes...and no! The precise term in "non-negative." Absolute value is a magnitude and is either positive or zero. Zero is neither positive nor negative. But the absolute value of any non-zero number can be thought of as it's distance from zero and it will always be positive.
• what is x for is it zero? and why it's cold x?
• X is just a variable, a letter or symbol used to represent an unknown number.
• Is absolute value positive or negative ?
• It is always going to be the positive version of the number
• why does absolute value always have to be positive??
• The absolute value is the distance. Imagine being in a car. Even if the car drives backwards all the way to the destination (which is possible), there will still be distance traveled. Just because it is backwards doesn't mean that it goes negative distance. Same for negative numbers. If there is an absolute value of a negative number (l-6l), the distance of it away from zero cannot be a negative distance. So if the distance is always positive, then the absolute value will always be positive.
• What does integers mean?
• An integer is a whole number, positive or negative.
• Do you have to use a number line ?
• No! Number lines are a way to visualize number and also to make things easier
• Why is the absolute value always positive?