Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by two vertical bars surrounding the number, such as |x|. For example, |8| equals 8, and |-8| also equals 8, indicating that both numbers are 8 units away from zero.
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Properties of Absolute Value
Absolute value has specific properties that are essential for evaluation. One key property is that |a| = a if a is non-negative, and |a| = -a if a is negative. This means that the absolute value function transforms negative inputs into positive outputs, which is crucial for solving expressions involving absolute values.
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Evaluating Expressions
Evaluating expressions involves substituting values into mathematical expressions and simplifying them to find a numerical result. In the context of absolute values, this means applying the definition and properties of absolute value to compute the result of expressions like |-8|, ensuring a clear understanding of how to handle negative numbers.
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