Evaluating the Absolute Value Expression $|3(1) - 6|$
This problem requires simplifying a mathematical expression involving absolute value. The absolute value of a number represents its distance from zero, which is always a non-negative value.
1. Simplify Inside the Absolute Value
First, perform the calculation within the absolute value bars:
Expression: $3(1) - 6$
- Multiply: $3 \times 1 = 3$
- Subtract: $3 - 6 = -3$
The expression simplifies to $\left| -3 \right|$.
2. Determine the Absolute Value
Next, find the absolute value of the result (-3). The absolute value function, denoted by $|x|$, returns the non-negative value of $x$.
Absolute Value: $\left| -3 \right| = 3$
Final Value
Therefore, the value of the expression $|3(1) - 6|$ is 3.
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Important Questions from Simplification
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