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Answer
The result is \(-\frac{19}{3}\) or \(-6.3\).
Solution
Calculate or simplify the expression \( (-3)-|-3|-3^{-1} \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(-3\right)-\left|-3\right|-3^{-1}\)
- step1: Remove the parentheses:
\(-3-\left|-3\right|-3^{-1}\)
- step2: Calculate the absolute value:
\(-3-3-3^{-1}\)
- step3: Evaluate the power:
\(-3-3-\frac{1}{3}\)
- step4: Subtract the numbers:
\(-6-\frac{1}{3}\)
- step5: Reduce fractions to a common denominator:
\(-\frac{6\times 3}{3}-\frac{1}{3}\)
- step6: Transform the expression:
\(\frac{-6\times 3-1}{3}\)
- step7: Multiply the numbers:
\(\frac{-18-1}{3}\)
- step8: Subtract the numbers:
\(\frac{-19}{3}\)
- step9: Rewrite the fraction:
\(-\frac{19}{3}\)
The result of the expression \( (-3)-|-3|-3^{-1} \) is \(-\frac{19}{3}\), which can also be written as \(-6\frac{1}{3}\) or \(-6.3\).
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Simplify this solution Extra Insights
To solve the expression \( (-3)-|-3|-3^{-1} \), we first need to evaluate the absolute value and the inverse: 1. Calculate \( |-3| \), which is 3. 2. Next, compute \( 3^{-1} \), which equals \( \frac{1}{3} \). Now we will substitute these values back into the expression: \[ (-3) - 3 - \frac{1}{3} \] Combine the integer terms: \[ -3 - 3 = -6 \] Now we include the fraction: \[ -6 - \frac{1}{3} = -\frac{18}{3} - \frac{1}{3} = -\frac{19}{3} \] Thus, the final answer is \[ - \frac{19}{3} \]
