Rewrite each expression without absolute value bars. |300|
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Recall that the absolute value of a number, denoted by \(|x|\), represents the distance of \(x\) from zero on the number line, and it is always non-negative.
Since 300 is a positive number, the absolute value of 300 is simply 300 itself.
Therefore, the expression \(|300|\) can be rewritten without the absolute value bars as 300.
In general, for any positive number \(a\), \(|a| = a\).
No further simplification is needed because 300 is already a positive number.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value Definition
The absolute value of a number represents its distance from zero on the number line, always as a non-negative value. For any real number x, |x| equals x if x is positive or zero, and -x if x is negative.
Absolute value has key properties such as |a| ≥ 0, |ab| = |a||b|, and |a/b| = |a|/|b| (b ≠ 0). Understanding these helps simplify expressions involving absolute values by removing the bars correctly.
To rewrite expressions without absolute value bars, determine the sign of the expression inside. If it is non-negative, remove the bars directly; if negative, multiply the inside by -1 to express it without absolute value.