Understanding the Basics of Absolute Value: A Guide to Finding The Distance Between a Number and Zero

|x|

x if x>=0-x if x<0

The expression |x| represents the absolute value of the number x. The absolute value is the distance between x and zero on the number line, and it is always a positive number or zero.

If x is positive or zero, then the absolute value of x is equal to x. For example, |3| = 3 and |0| = 0.

If x is negative, then the absolute value of x is equal to the opposite of x. For example, |-5| = 5 and |-2.7| = 2.7.

Therefore, we can say that |x| = x if x is greater than or equal to zero, and |x| = -x if x is less than zero.

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