Simplifying Complex Expressions: 11 + (-3) - 1/8j - 3/8j + 7
In this article, we will walk through the process of simplifying the complex expression 11 + (-3) - 1/8j - 3/8j + 7.
Step 1: Combine the Real Parts
The real parts of the expression are the numbers without the imaginary unit j. In this case, we have:
11 + (-3) + 7
Combine these numbers:
11 - 3 + 7 = 15
Step 2: Simplify the Imaginary Parts
The imaginary parts of the expression are the numbers with the imaginary unit j. In this case, we have:
- 1/8j - 3/8j
Combine these numbers:
(-1/8 - 3/8)j = -4/8j = -1/2j
Step 3: Combine the Real and Imaginary Parts
Now, combine the simplified real and imaginary parts:
15 - 1/2j
Final Answer
The simplified expression is:
15 - 1/2j
This is the simplified form of the original expression 11 + (-3) - 1/8j - 3/8j + 7.
