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