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If it had a sign it wouldn't be an absolute value, which is neither positive nor negative, merely absolute.

Note that the absolute value of a number is non-negative by definition.

For x < 0, |x| = -x (which is positive)

For x ≥ 0, |x| = x (which is never negative)

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Q: Justify why the absolute value of a number is never negative?
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Negatives are never absolute values WHY?

The absolute value is the distance from 0 on the number line. -5 is 5 away from 0. You cannot have a negative distance, therefore you cannot have a negative absolute value. Absolute values are not ALWAYS positive because absolute values can be zero as well. Zero is not positive nor negative.


How do you use negative numbers in real life?

I've never had to use (-3x/-4y)+(-5n X -3p) on a daily basis. In real life, if you think about it, tax is a negative number.Every debit entry in your checkbook is a negative number. It must be subtracted from a higher (hopefully) number. If you write checks for more than what is in the bank, your account will have a negative number balance, meaning that you owe the bank money.Also, anyone working with digital electronics will always be working with negative numbers (voltages, etc.)taxesphysics and measuring how objects movecalculus, which explains how piece-wise functions (even ones that use negative numbers) makes many of the computerized designs and cartoons


Is the inverse of a line with positive slope a line with negative slope?

Never.


Is the quotient of an integer and its opposite always positive?

the quotient of an integer and its opposite is never negative.


What will be the difference when subtracting two integers with different signs?

Subtracting: Positive - Negative = Positive Negative - Positive = Negative No that is not the way it goes. It is positive+negetive=either counting on which integer is bigger negative+negative=positive positive+positive=positive positive x negetive=negative negative x postitve= negative negative/positive=negative positive/negative=negetive thanks The top is right though because subtracting a negative is like adding so you could never get a negative and subtracting from a positive from negative will always be a negative. The question was for integers with different signs so you don't need to do "positive + positive"