In Exercises 51–60, rewrite each expression without absolute value bars. |300|
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Identify the expression inside the absolute value bars: .
Recall that the absolute value of a number is its distance from zero on the number line, which is always non-negative.
Since 300 is a positive number, the absolute value of 300 is simply 300 itself.
Therefore, the expression can be rewritten without the absolute value bars as 300.
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Key Concepts
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 vertical bars, such as |x|, and is always non-negative. For example, |300| equals 300, while |-300| also equals 300, illustrating that absolute value removes any negative sign.
One key property of absolute value is that |a| = a if a is non-negative, and |a| = -a if a is negative. This means that when rewriting expressions involving absolute values, one must consider the sign of the number inside the absolute value bars. Understanding these properties is essential for correctly rewriting expressions without absolute value.
Rewriting expressions without absolute value bars involves determining the appropriate sign based on the context of the problem. For instance, when given |300|, since 300 is positive, it can be rewritten simply as 300. This process is crucial for simplifying expressions and solving equations in algebra.