### We found 167 reviewed resources for real part of a complex number

Lesson Planet

#### Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)

If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers —...

Lesson Planet

#### Imaginary Numbers Are Real (Part 6: The Complex Plane)

How do addition and subtraction work on the complex plane? A short video presentation provides a clue on how to add complex numbers geometrically. The video ends with four problems to determine the rules for multiplication on the complex...

Lesson Planet

#### Complex Numbers (Part 2)

This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...

Lesson Planet

#### Complex Numbers (Part 1)

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...

EngageNY

#### Complex Number Division 1

Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...

Lesson Planet

#### Complex Numbers (Part 2)

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#### Complex Numbers (Part 1)

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#### Powers and Roots of Complex Numbers

Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...

Lesson Planet

#### Complex Number Properties

High schoolers experiment with complex numbers to see which properties of real numbers apply to the system of complex numbers and practice computations. The study of these properties is first explored by looking at rotational...

Lesson Planet

#### Imaginary Numbers Are Real (Part 3: Cardan's Problem)

Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...

Lesson Planet

#### Imaginary Numbers Are Real (Part 4: Bombelli's Solution)

Is the square root of negative one crucial to the process of finding other solutions? Using the properties of the newly discovered square root of negative one, historical mathematician Bobelli is able to solve Cardan's problem. His...

Lesson Planet

#### Imaginary Numbers Are Real (Part 1: Introduction)

What are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout history.

Lesson Planet

#### Complex Conjugates

Sal discusses the usefulness of the conjugate of the complex number is this video. First, he shows both graphically and algebraically adding a complex number and its conjugate. Then, he shows how to simplify a rational expression with...

Lesson Planet

#### Imaginary Numbers Are Real (Part 7: Complex Multiplication)

Multiplying complex numbers geometrically is complicated. Find an easier way with a short video that explains the process of multiplying complex numbers on the complex plane. The connection with the process and the angles and moduli sets...

Lesson Planet

#### Imaginary Numbers Are Real (Part 8: Math Wizardry)

How does the Fundamental Theorem of Algebra apply to equations with complex roots? Using recently learned concepts about the complex plane, learners determine all the complex roots of polynomials. They can find the same roots as...

Lesson Planet

#### Imaginary Numbers Are Real (Part 9: Closure)

The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex numbers, to have a set of...

EngageNY

#### Discovering the Geometric Effect of Complex Multiplication

Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...

Lesson Planet

#### Basic Complex Analysis

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

Lesson Planet

#### Exponential Form to Find Complex Roots

Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...

EngageNY

#### The Geometric Effect of Some Complex Arithmetic 1

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson plan in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into...

Lesson Planet

#### The Solution is Complex

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

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#### Exponential Form to Find Complex Roots

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#### Imaginary Numbers Are Real (Part 2: A Little History)

In some cases, a square root of a negative number must exist in order to determine the roots of a cubic equation. An educational presentation provides a specific example of a cubic with a known root to have an understanding of a square...

Lesson Planet

#### Complex Distance

Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....