In Exercises 51–60, rewrite each expression without absolute valu...

Question

In Exercises 51–60, rewrite each expression without absolute value bars. -3/|-3|

Accepted Answer

Hello today we're going to be evaluating an absolute value expression. So the absolute value expression given to us is negative over the absolute value of -17. So in order to start evaluating this, we need to first go ahead and evaluate the absolute value in the denominator here. Well the absolute value is the absolute distance between two numbers. And that means that we only care about the positive distance between those two numbers. So in other words the absolute value allows you to represent any negative number inside of it as a positive value. So we can go ahead and rewrite the absolute value of negative as positive 17. Doing so is going to give us -17 over positive 17. And since we have 17 in both the numerator and denominator we can go ahead and cancel those out and that's just gonna leave us with 1/1 And so negative 1/1 is just gonna be negative one which is going to be our solution to this expression. And the answer to this problem is going to be be So I hope this video helps you in understanding how to evaluate an absolute value expression. And I'll go ahead and see you all in the next video