Multiply Complex Numbers Worksheet

Algebra 2
Real And Complex Numbers

Total questions - 6

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How Will This Worksheet on "Multiply Complex Numbers" Benefit Your Student's Learning?

  • Helps understand advanced math topics like complex analysis and differential equations.
  • Enhances ability to solve problems involving real and imaginary numbers.
  • Reinforces algebra through distributing and combining terms.
  • Assists in solving complex equations in higher-level math and science.
  • Develops critical thinking by carefully applying algebraic rules.

How to Multiply Complex Numbers?

  • Multiply each term in the first complex number by each term in the second complex number.
  • Use the property \( i^2 = -1 \) to simplify \( i \) terms.
  • Add or subtract the real and imaginary parts separately.

Solved Example

Q. Simplify.\newline5(3+5i)5(3 + 5i)\newlineWrite your answer in the form a+bia + bi.
Solution:
  1. Distribute 55: Distribute 55 inside the parentheses. 5(3+5i)=(5×3)+(5×5i)5(3 + 5i) = (5 \times 3) + (5 \times 5i)
  2. Simplify expression: Simplify (5×3)+(5×5i)(5 \times 3) + (5 \times 5i).\newline (5×3)+(5×5i)=15+25i(5 \times 3) + (5 \times 5i) = 15 + 25i
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About Worksheet

Algebra 2
Real And Complex Numbers

To multiply complex numbers, distribute each term and apply \( i^2 = -1 \). For instance, multiplying \( (2 + 3i) \) by \( (4 - 2i) \) involves calculating \( 8 + 12i - 4i - 6 = 14 + 8i \). This process is essential for mastering complex number multiplication. Further practice and guidance can be found in worksheets dedicated to multiply complex numbers to understand the process thoroughly.
Example: Multiply the complex numbers \( (1 + 2i) \) and \( (3 - i) \).

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