Evaluate the expression for j = -1: -5 + 10j = ?
Understand the Problem
The question is asking to evaluate the expression -5 + 10j by substituting j with -1. We will replace j with -1 and then perform the calculation.
Answer
$-15$
Answer for screen readers
The final answer is $-15$.
Steps to Solve
- Substitute the value of j Start by substituting ( j = -1 ) into the expression (-5 + 10j).
$$ -5 + 10(-1) $$
- Simplify the multiplication Next, simplify the multiplication in the expression.
$$ 10(-1) = -10 $$
- Combine like terms Now, add the results together.
$$ -5 + (-10) = -5 - 10 $$
- Final calculation Finally, perform the addition to find the answer.
$$ -5 - 10 = -15 $$
The final answer is $-15$.
More Information
This expression illustrates how to substitute a variable with a specific value and perform arithmetic operations. The process demonstrates the importance of following the order of operations.
Tips
- A common mistake is forgetting to multiply through by the substituted value, leading to incorrect terms in the final expression. Make sure to handle negative signs carefully.
AI-generated content may contain errors. Please verify critical information
Thank you for voting!
