In Exercises 1–12, find each absolute value.

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Question

In Exercises 1–12, find each absolute value.

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Accepted Answer

Hello, today we're going to be evaluating the expression without the absolute value bars. So what we are given is negative absolute value of negative 10/19. So in order to simplify this expression, let's go ahead and first evaluate the absolute value given to us. Now, what does it mean to evaluate an absolute value? While an absolute value describes the absolute distance of a given number from zero on the number line. So the number given to us in the absolute value is negative 10/19. And that's going to be some distance to the left of zero. Now, again, the absolute value only focuses on the distance you need to travel from zero in order to get to 10/19. Now, even though 10/19 or negative 10/19 lies to the left of zero, you still have to travel a total of 10/19 units in order to get to that number. So that means the absolute value of 10/19 is just going to be equal to positive 10/19 because that's the distance you have to travel from zero in order to get to negative 10/19. So we know that the absolute value of negative 10/ evaluates the positive 10/19. Plugging this back into the original expression is going to give us negative 10/19 and multiplying 10/19 by the negative one in front of the quantity is going to give us negative 10/19. And that is going to be the evaluated version of the given expression without the absolute value bars. And with that being said, the answer to this problem is going to be a. So I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

In Exercises 1–12, find each absolute value. -|-2/5|

Key Concepts

Absolute Value

Negative Numbers

Fraction Representation

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