Video: Subtraction of Integers with Absolute Values

Calculate |−57| − |−51|.

01:19

Video Transcript

Calculate the absolute value of negative 57 minus the absolute value of negative 51.

First, let’s think about what we know about absolute value. We sometimes say it’s the distance of a number from zero. Another way to say that is that it’s the magnitude of a number. Let’s consider these two values on a number line. First, we have negative 57, and then we have negative 51. The magnitude of negative 57, its distance from zero, is 57, which means we can say the absolute value of negative 57 is positive 57. And the absolute value of negative 51, its distance from zero, is positive 51. And so we can say that the absolute value of negative 51 is positive 51. Now, we’re trying to subtract 51 from 57. 57 minus 51 equals six.

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