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The absolute value of the opposite of x is x.

The absolute value is the number's distance from zero on a number line. Distance can not be negative, so basically, to find the absolute value of a number you just need to make it positive.

The opposite of x is -x.

|-x|=x - you make the x positive

Of course, if x, to begin with, represents a negative (less than zero) number than the absolute value would be -x. For example if x=-3, the opposite value of x would be 3 and the absolute value of x would also be 3 which happens to be -x.

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Q: What is the absolute value of the opposite of x?
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Related questions

How do you identify the opposite of the absolute value of a rational number?

The opposite of the absolute value of x is always -abs(x).


Is the absolute value of the opposite of 7 the same as the opposite of the absolute value 7?

No. The absolute value of the opposite of 7 is 7, but the opposite of the absolute value of seven is -7.


If x is a rational number a y is the opposite of x why do x and y have the same absolute value?

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How do you identify the opposite and the absolute values of a rational numbers?

An "opposite" is not a well defined term since there are additive opposites and multiplicative opposites and you have not specified which one.The absolute value of a rational number is the value of the number with a positive sign.Thus (abs(5/7) = 5/7and abs(-5/7) = 5/7


Is X is a rational number and Y is the opposite of X why do X and Y have the same absolute value?

X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.


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Is the absolute value of an integer the same as the opposite of that integer?

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