Add And Subtract Complex Numbers Worksheet

Algebra 2
Real And Complex Numbers

Total questions - 6

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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.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.
Solution:
  1. Combine Imaginary Terms: Since both terms are imaginary and have the imaginary unit ii, we can combine them by adding their coefficients.\newlineCalculation: 8i+6i=(8+6)i=14i8i + 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+b𝑖a + b𝑖, where aa is the real part and bb is the imaginary part.\newlineSince there is no real part in the expression, a=0a = 0.\newlineTherefore, the final answer is 0+14𝑖0 + 14𝑖.
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About Worksheet

Algebra 2
Real And Complex Numbers

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.

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