![]() ![]() Since absolute value is a calculation of a number’s distance from zero, an absolute value expression such as the absolute value of 3 can be written as the absolute value of 3-0. This gives us 1 minus 3, which equals -2. Negative 3 is three units away from zero, which means the absolute value of -3 is 3. We evaluate what’s inside the brackets first, so 2 plus -5 equals -3, which gives us 1 minus the absolute value of -3. ![]() We evaluate what’s inside the absolute value brackets first. When we evaluate expressions and solve equations, the absolute value brackets act very much like parentheses do in the order of operations. So the absolute value of seven equals seven literally translates to “negative 7 is seven units away from 0.” Similarly, on the number line, we are simply counting distance without specifying direction. In everyday language, we wouldn’t say, for instance, “The grocery store is negative 1 mile away.” We’d simply say “The grocery store is a mile away.” ![]() When we talk about distance, the direction doesn’t matter. This is good to remember when evaluating expressions and solving equations, but it’s also important to remember why. No matter what number you are dealing with, big or large, positive or negative, the absolute value operation always yields a positive number. Now, as we just saw, the absolute value of 6 equals 6 and the absolute value of -6 also equals 6. And the absolute value of -6 is denoted as -6 with lines on either side, just as before: \(|-6|\). For instance, the absolute value of 6 is denoted with two vertical lines: \(|6|\). The absolute value of – 6 is also 6.Ībsolute value has a specific notation in mathematical expressions. Negative 6 is also six units away from 0. Using a number line, we can see that 6 is six units away from 0. The absolute value of a number is its distance from 0 on a number line. Hi, and welcome to this video about absolute value! We’ll cover what the absolute value of a number is and how to calculate it, as well as what absolute difference is and how it relates to absolute value.
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