Find each sum or difference. |-8 - 6|

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 absolute value of - -9. So in this case you can see that we're dealing with an absolute value. So let's go ahead and recall what the absolute value does. If I take the absolute value of a positive number such as a I get a back but if I take the absolute value of a negative number such as negative A. I still get positive a back. So you can see that the absolute value has the most effect on negative numbers by taking away the negative sign and converting them to positive numbers. So we're going to keep this rule in mind when dealing with our subtraction. So we have the absolute value of -5 -9. So in order to simplify our absolute value we have to make sure that we have one value or one answer here. Um But right now we have this expression negative five minus nine and you can see that we're subtracting Two negative numbers together. So this is really more like an addition where we have negative five plus negative nine. So if we add five plus nine we get 14. And in this case because we're adding two negative numbers together, our answer also needs to be negative. So when we do negative five minus nine we get negative 14. But recall that we have these absolute value bars that we need to add back in. So once we simplify the inside of the absolute value we got -14. So now we're taking the absolute value of negative And recall that we stated that when we take the absolute value of negative numbers, we get that number back without the negative sign. So the absolute value of -14 becomes positive 14. So positive 14 becomes our final answer, and you can see that that aligns with answer choice d. So hopefully this video helped and see you next time.

Find each sum or difference. |-8 - 6|

Key Concepts

Absolute Value

Order of Operations

Evaluating Expressions

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