In Exercises 51–60, rewrite each expression without absolute value bars. |300|

Key Concepts

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.

Properties of Absolute Value

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

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.