# Add And Subtract Complex Numbers Worksheet

## 6 problems

To add and subtract complex numbers, combine the real parts and separately combine the imaginary parts. For example, adding $$(2 + 3i)$$ and $$(1 - 2i)$$ results in $$3 + i$$. Subtracting $$(2 + 3i)$$ from $$(1 - 2i)$$ gives $$-1 - 5i$$. Understanding these operations is crucial for solving problems involving complex numbers. Find more examples and detailed explanations in the add and subtract complex numbers pdf resources.

Algebra 2
Real And Complex Numbers

## How Will This Worksheet on "Add and Subtract Complex Numbers" Benefit Your Student's Learning?

• Helps understand more complex math topics like advanced algebra and complex analysis.
• Builds problem-solving and critical thinking skills through working with complex numbers.
• Clarifies the relationship between the real and imaginary parts of complex numbers.
• Encourages students to think deeply about how complex numbers work and their properties.

## How to Add and Subtract Complex Numbers?

• Add the real parts of the complex numbers together, then add their imaginary parts separately.
• Subtract the real parts of the complex numbers, then subtract their imaginary parts.

## Solved Example

Q. Simplify.$\newline$$8i + 6i$$\newline$$\newline$Write your answer in the form $a + bi$.
Solution:
1. Combine Imaginary Terms: Since both terms are imaginary and have the imaginary unit $i$, we can combine them by adding their coefficients.$\newline$Calculation: $8i + 6i = (8 + 6)i = 14i$
2. Write Final Answer: The expression is now simplified, and we can write the final answer in the form $a + b𝑖$, where $a$ is the real part and $b$ is the imaginary part.$\newline$Since there is no real part in the expression, $a = 0$.$\newline$Therefore, the final answer is $0 + 14𝑖$.

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