Determine whether each statement is true or false. |-14| / |2| = ...

Question

Determine whether each statement is true or false. |-14| / |2| = |-14/2|

Accepted Answer

Hello everyone in this video we're going to be looking at this practice problem where we want to determine if the expression absolute value of negative 48 divided by absolute value of six is equal to the absolute value of negative 48 divided by six. And if this equation is true or false. So because we're working with absolute values it's important to remember the absolute value rule. So the absolute value rule states that if we take the absolute value of a positive number such as a we simply get a back. But if we take the absolute value of a negative number such as negative A. We get positive A and notice how once we get rid of the absolute value with the negative the negative that was part of the A. Is now gone. So taking the absolute value of A. Or negative eight gives us the same results of positive A. And we can use this rule to help us see if the statements are true if the statement is true or false. So for us we have the absolute value of negative 48 divided by the absolute value of six is equal to the absolute value of negative 48 divided by six. So I'm going to start by simplifying the left hand side by getting rid of the absolute values. So the absolute value of negative 48 is positive And the absolute value of six is 6. So now I can move on to the right hand side and the absolute value of negative 48 divided by six is 48 divided by six. So from this, you can see that the left hand side is equal to the right hand side, which means that this is a true expression and that aligns with answer choice A or true. So hopefully this video helped and see you next time.

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Determine whether each statement is true or false. |-14| / |2| = |-14/2|

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