Question
\( 11+(-3)-\frac{1}{8} j-\frac{3}{8} j+7=\square \) (Simplify your answer. Use integ
Ask by Black Wright. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(15 - \frac{1}{2}j\).
Solution
Calculate or simplify the expression \( 11+(-3)-\frac{1}{8}j-\frac{3}{8}j+7 \).
Simplify the expression by following steps:
- step0: Solution:
\(11+\left(-3\right)-\frac{1}{8}j-\frac{3}{8}j+7\)
- step1: Remove the parentheses:
\(11-3-\frac{1}{8}j-\frac{3}{8}j+7\)
- step2: Calculate:
\(15-\frac{1}{2}j\)
The simplified expression is \(15 - \frac{1}{2}j\).
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Simplify this solution The Deep Dive
To simplify the given expression \( 11 + (-3) - \frac{1}{8} j - \frac{3}{8} j + 7 \), we can start by combining like terms. First, combine the real numbers: \( 11 - 3 + 7 = 15 \). Next, combine the imaginary parts: \(-\frac{1}{8} j - \frac{3}{8} j = -\left(\frac{1}{8} + \frac{3}{8}\right) j = -\frac{4}{8} j = -\frac{1}{2} j\). Now, putting these together, we have: \( 15 - \frac{1}{2} j \). So, the simplified answer is: \( 15 - \frac{1}{2} j = \square \)
