Understanding the Absolute Value Function: A Guide to Calculating and Interpreting Absolute Values

absolute value

The absolute value of a number is a measure of its distance from zero on a number line

The absolute value of a number is a measure of its distance from zero on a number line. Regardless of whether the number is positive or negative, the absolute value will always be positive or zero.

To denote the absolute value of a number, we use vertical bars or two straight lines on either side of the number. For example, |x| represents the absolute value of x.

To find the absolute value of a positive number, you simply keep the number as it is. For instance, the absolute value of 5 is 5 since 5 is already positive.

To find the absolute value of a negative number, we change the sign of the number to make it positive. For example, the absolute value of -5 is 5 since we change the negative sign to positive.

Here are a few examples to help understand absolute value calculations:

1. |7| = 7: Since 7 is already a positive number, the absolute value is itself.

2. |-7| = 7: The negative sign is dropped, and absolute value is taken as 7.

3. |0| = 0: The absolute value of zero is zero itself since it is neutral and has no distance from zero.

4. |-2.5| = 2.5: The negative sign is removed, leaving 2.5 as the absolute value.

It is important to note that the absolute value function yields a positive or zero value, which means that the output of the function is always non-negative.

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