Absolute value
The absolute value of a number is its numerical value without regard to its sign
The absolute value of a number is its numerical value without regard to its sign. In other words, it gives the distance of a number from zero on the number line. The absolute value is always non-negative, meaning it is either positive or zero.
We can represent the absolute value of a number using vertical bars or brackets. For example, the absolute value of a is denoted as |a| or [a]. If the number inside the absolute value is positive, the result is simply the number itself. However, if the number inside is negative, the absolute value removes the negative sign and provides the corresponding positive value.
For instance:
– The absolute value of |5| is 5 because 5 is already positive.
– The absolute value of |-3| is 3 because it eliminates the negative sign and gives the positive value.
– The absolute value of |0| is also 0 because the distance from zero is zero.
Absolute values are often used in various mathematical concepts such as equations, inequalities, and calculus. They are valuable in solving problems involving distances, magnitudes, differences, or measures of error.
In summary, the absolute value of a number represents its distance from zero on the number line and always yields a non-negative value.
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