Find each sum or difference. 16 - | -13|

Question

Accepted Answer

Hello. Everyone in this video we're going to be looking at this practice problem where we want to perform the subtraction 19 minus the absolute value of negative 11. So in this case you can see that we're working with an absolute value. So let's recall the absolute value rules or what happens when we have an absolute value. So say I'm taking the absolute value of a number such as a. I'll get back that same number inside or a. But if I'm taking the absolute value of a negative number such as negative A the absolute value takes away that negative sign. So that when I take the absolute value of negative A. I also get back positive. A. So any number inside of the absolute value bars becomes positive. So if I look at my prop subtraction I have 19 minus and I'll write the absolute value in red The Absolute Value of -11. So if I want to get rid of the absolute value in the subtraction I'll go ahead and simplify over here to the right. So the absolute value of negative 11 gives me back positive 11 And I can go ahead and plug that back into my subtraction. So I now have 19 minus 11. So notice how this 11 still has a negative in front of it but it's because the negative is right outside the absolute value bars. So because that negative is right outside the absolute value bars My 11 even though I got it out of the absolute value bars as positive it still becomes negative in the end because of the subtraction. But now I've gotten rid of the absolute value, so I now have 19-11, which is positive eight. So positive eight is my final answer, and you can see that that aligns with answer choice c. So hopefully this video, hope and see you next time.

Find each sum or difference. 16 - | -13|

Key Concepts

Absolute Value

Arithmetic Operations

Order of Operations

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