Question Video: Understanding Absolute Value and How It Can be Applied in Addition Problems | Nagwa Question Video: Understanding Absolute Value and How It Can be Applied in Addition Problems | Nagwa

Question Video: Understanding Absolute Value and How It Can be Applied in Addition Problems

Consider the figure. What sum does this diagram represent? What is the distance between the first addend (6) and the sum?

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Video Transcript

Consider the following figure. What sum does this diagram represent? What is the distance between the first addend six and the sum?

When we look at this diagram, we need to consider two things. We need to consider distance and direction. For our first value, it’s between zero and six, and that’s a distance of six units. We can also tell from our arrow that it’s moving to the right, so it is a positive six. That would be our first addend. Our second addend is from six to nine, a distance of three units. And again, we’re moving those three units to the right, which is adding three units. Our second addend is positive three, and we are adding these two values together. This figure is the sum six plus three equals nine.

To answer the second question “What is the distance between the first addend six and the sum?,” if our first addend six ends here and the sum of nine is there, we visually see that the distance between those two spaces is three. We could just say that the answer is three. However, let’s write it as the magnitude or the absolute value of three, just to emphasize that distance is always a positive measure. The distance between six and nine is the absolute value of three.

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