Video: Evaluating Expressions with Integers and Absolute Values

Fill in the blanks: |(6 − 14)/4| = _.

01:26

Video Transcript

Fill in the blank: The absolute value of six minus 14 over four equals blank.

First of all, let’s think about what we know about absolute value. One way we might talk about absolute value is the distance of a number from zero on a number line. And we know that distances are always positive. That means that negative three is three units from zero and positive three is also three units from zero on a number line. But back to our question at hand, we’re taking the absolute value of an expression. And our expression is six minus 14 over four. Before we can find the absolute value, we need to simplify or solve what’s inside the absolute value bars.

That means we first subtract 14 from six, which is negative eight. Then we’ll have negative eight over four inside the absolute value bars. Negative eight over four can be simplified to negative two. And we now need to take the absolute value of negative two. If we’re thinking about this on a number line, negative two is two units away from zero. And that means the absolute value of negative two is two. We fill in the blank with the value positive two.

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