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mathdad
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Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.
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View attachment 7488
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The absolute value of a number is its distance from 0 on a number line. It is always a positive value, so it represents the magnitude or size of a number without regard to its sign (positive or negative).
To find the absolute value of a number, you can either use the absolute value symbol (| |) or follow these steps:
Absolute value and magnitude are often used interchangeably, but they have slightly different meanings. While absolute value represents the distance from 0 on a number line, magnitude represents the size or amount of something. Magnitude can be positive, negative, or zero, while absolute value is always positive.
Absolute value is used in various fields, including mathematics, physics, engineering, and economics. Some examples of its applications include determining the distance between two points, calculating the error in measurements, and finding the magnitude of a vector's components.
While they are related concepts, absolute value and modulus are not exactly the same. Modulus is the remainder after dividing two numbers, while absolute value is the distance from 0 on a number line. However, in some cases, the absolute value and modulus of a number can be the same, such as when the number is positive.