Adding & Subtracting (Leaving Cert Mathematics): Flashcards

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Adding & Subtracting
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How do you add complex numbers z1z_1 and z2z_2?

Add real parts and imaginary parts separately.

What is the formula for z1+z2z_1 + z_2?

z1+z2=(a+c)+(b+d)iz_1 + z_2 = (a+c) + (b+d)i

How is z1−z2z_1 - z_2 computed?

Subtract corresponding real and imaginary parts.

What is the formula for z1−z2z_1 - z_2?

z1−z2=(a−c)+(b−d)iz_1 - z_2 = (a-c) + (b-d)i

If z=11+4iz=11+4i and w=9−7iw=9-7i, find z+wz + w.

z+w=20−3iz + w = 20 - 3i

What result do you get for z−wz-w?

z−w=2+11iz - w = 2 + 11i

When adding complex numbers, what must be combined?

The real components and the imaginary components.

What does (a+bi)+(c+di)(a+bi)+(c+di) equal?

(a+c)+(b+d)i(a+c) + (b+d)i

What is the imaginary part of z=11+4iz = 11 + 4i?

The imaginary part is 44.

What is added first in complex number addition?

The real components are added first.

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Quizzes by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

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