Formula For Absolute Value

About Formula For Absolute Value

Let us review what absolute value is before learning about the formula for absolute value. Any number's absolute value is its distance from zero. The distance is always a positive number. As a result, the absolute value is never negative. |x| represents the absolute value of any number, x.

|x| or abs are used to represent the absolute value of x i.e., abs(x).

Any number's absolute value always yields a non-negative outcome.

We pronounce |x| as 'mod x' or 'modulus of x.'

What is Formula For Absolute Value?

The formula for absolute value gives us the absolute value of any number which gives a result that is always positive.
From the above example, |4| = 4. So we can say that |x| = x, for every x ≥ 0.
Also, we have |-4| = 4. It means, |-4| = -(-4) = 4. So we can say that:
|x| = -x, for every x < 0.
|x| = x, for every x >= 0.

Solved example based on Absolute Value

Example: Find the absolute values of -1/3, 5, and -0.5, solve it by using the formula for absolute value.

Sol: To find: The absolute values of -1/3, 5, and -0.5.
By the formula of absolute value, we know that the absolute value of any number is always non-negative.
Thus,
|-1/3| = 1/3
|5| = 5
|-0.5| = 0.5

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Formula For Absolute Value

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