Adding, Subtracting and Multiplying Complex numbers
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a complex number?
Back
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as i² = -1.
Tags
CCSS.HSN.CN.A.1
2.
FLASHCARD QUESTION
Front
How do you add two complex numbers?
Back
To add two complex numbers, add their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.
Tags
CCSS.HSN.CN.A.2
3.
FLASHCARD QUESTION
Front
How do you subtract two complex numbers?
Back
To subtract two complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
What is the product of two complex numbers (a + bi)(c + di)?
Back
The product is given by (ac - bd) + (ad + bc)i.
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
What is the conjugate of a complex number a + bi?
Back
The conjugate of a complex number a + bi is a - bi.
Tags
CCSS.HSN.CN.A.3
6.
FLASHCARD QUESTION
Front
How do you multiply a complex number by a real number?
Back
To multiply a complex number by a real number, multiply both the real and imaginary parts by that number. For example, k(a + bi) = ka + kbi.
Tags
CCSS.HSN.CN.A.2
7.
FLASHCARD QUESTION
Front
What is the result of (3 - 5i)(2 + 5i)?
Back
The result is 31 + 5i.
Tags
CCSS.HSN.CN.A.2
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