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N-CN.2 Warmup M2-056-A10-V04

Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.

Add complex numbers geometrically on the complex plane by combining real and imaginary coordinates

Problem

Add \((-3+2i)+(6-5i)\) by combining signed components, then map the standard-form sum to its complex-plane ordered pair.

Prompt complex plane with addend vectors negative 3 + 2i, represented by (-3, 2), and 6 - 5i, represented by (6, -5), each drawn from the origin. The resultant and sum point are withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.2
Category
Number and Quantity
Domain
The Complex Number System
Objective
Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Problem type
Add complex numbers geometrically on the complex plane by combining real and imaginary coordinates