Rewrite each expression without absolute value bars. -3/|-3|

Verified step by step guidance

1. Identify the absolute value expression in the problem: \(\left| -3 \right|\).
2. Recall that the absolute value of a number is its distance from zero on the number line, which is always non-negative. So, \(\left| -3 \right| = 3\).
3. Rewrite the original expression \(\frac{-3}{\left| -3 \right|}\) by substituting the absolute value with its value: \(\frac{-3}{3}\).
4. Simplify the fraction \(\frac{-3}{3}\) by dividing numerator and denominator.
5. Express the simplified result without absolute value bars.

Key Concepts

Absolute Value

The absolute value of a number is its distance from zero on the number line, always expressed as a non-negative value. For example, |−3| equals 3 because −3 is three units away from zero.

Simplifying Expressions with Absolute Values

To rewrite expressions without absolute value bars, first evaluate the absolute value portion, then simplify the expression accordingly. This often involves replacing the absolute value with its positive equivalent.

Division of Rational Numbers

Dividing rational numbers involves dividing the numerator by the denominator, considering their signs. When dividing by an absolute value, the denominator is always positive, which affects the sign of the result.