Adding and Subtracting Complex Numbers (Leaving Cert Mathematics): Quizzes

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Adding and Subtracting Complex Numbers
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What is the value of the imaginary unit ii?

i=−1i = \sqrt{-1}

What is the value of i2i^2?

−1-1

What is −9\sqrt{-9} expressed using the imaginary unit?

3i3i

What is the real part of the complex number −2+5i-2 + 5i?

−2-2

What is the imaginary part of the complex number 3+4i3 + 4i?

44

How can the real number 55 be written in standard complex form?

5+0i5 + 0i

Calculate (3+2i)+(4−3i)(3 + 2i) + (4 - 3i).

7−i7 - i

Calculate (−5+3i)+(−1−7i)(-5 + 3i) + (-1 - 7i).

−6−4i-6 - 4i

Calculate (−6+3i)−(5−2i)(-6 + 3i) - (5 - 2i).

−11+5i-11 + 5i

If z1=1+2iz_1 = 1 + 2i and z2=5−2iz_2 = 5 - 2i, what is z1+z2z_1 + z_2?

66

If z1=1+2iz_1 = 1 + 2i and z2=5−2iz_2 = 5 - 2i, calculate 2z1−z22z_1 - z_2.

−3+6i-3 + 6i

When adding two complex numbers, what should you do?

Add real parts, add imaginary parts

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 Flashcards 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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