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Sugar and the Mathematical Garden of Sugar
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The absolute value of a positive number is positive, the absolute value of a negative number is positive, and 0 is the absolute value of 0. Then why is it that when A is positive, the absolute value of A is A, and when A is negative, the absolute value of A is -a minus A? Didn't you say that the absolute value of negative numbers is positive?

-a is the antonym of a.

Because A is negative, the antonym of A -A is positive (absolute value definition: a distance from the origin is called the absolute value of this number).

If the absolute value of x is equal to 5, then X= plus or minus 5 (the set of two opposite numbers is at the same distance from the origin).

If -X minus X means =3, then X=-3 (-X is the antonym of X).

Given the absolute value of A =2, the absolute value of B =3, and A is a negative number, find the values of A and B. ..

|a|=2 a= plus or minus 2, and because A is negative, a=-2.

|b|=3 b= plus or minus 3

Be sure to remember that if you remove the absolute value sign, there will be positive and negative points (except 0)