Absolute value is a mathematical concept that gives the distance between a number and zero on a number line. It is represented by vertical bars surrounding a number, and it always results in a positive value.
To solve equations with absolute value, you first isolate the absolute value expression on one side of the equation. Then, create two separate equations, one with the positive value and one with the negative value of the absolute value expression. Solve both equations for the variable and check the solutions in the original equation to determine which are valid.
No, absolute value is always positive. It represents the distance from zero, which is always a positive value regardless of the direction on the number line.
Absolute value and modulus are often used interchangeably, but they have different definitions. The absolute value of a number is its positive distance from zero on a number line, while the modulus of a number is its magnitude or size. In other words, the modulus can be negative if the number itself is negative, while the absolute value is always positive.
Algebra with absolute value is commonly used in physics and engineering to calculate distances, velocities, and accelerations. It can also be used in economics and finance to analyze data with both positive and negative values. Additionally, it is used in computer science for coding and error correction algorithms.