absolute value
A number’s distance from zero on a number line. Absolute value CANNOT be negative.
Absolute value is a mathematical concept that refers to the magnitude (or size) of a real number, without considering its sign. In other words, it is the distance of a number from zero on the number line. The absolute value of a number can be represented using vertical bars or pipes, for example, the absolute value of -7 is written as |-7| and it equals 7.
The notation for absolute value is denoted as vertical bars enclosing the number or expression. For example, the absolute value of the number 3 is written as |3| which equals 3 since 3 is 3 units away from zero on the number line. Similarly, the absolute value of -3 is also written as | -3 | which equals 3 since -3 is also 3 units away from zero but in the negative direction.
Absolute value is used in a variety of mathematical applications, including solving equations and inequalities, finding distances and magnitudes, and evaluating limits and derivatives in calculus. It is a fundamental concept in mathematics and is important to understand in order to perform many types of mathematical operations.
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