3 Slides • 8 Questions

Simplifying Complex and imaginary Numbers

SWBAT: Define and use imaginary and complex numbers. Solve quadratic equations with complex roots.

2

Complex and imaginary Numbers: Simplifying

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1

3

Multiplying Complex Numbers

When Multiplying Complex Numbers, use the same procedures used when multiplying Polynomials.

You may need to use the Distributive Property or Foil.

Remember that i² = -1

4

Multiple Choice

$\left(2+3i\right)\times\left(3+7i\right)$

1

$6+21i^{ }$

2

$-15+23i$

5

Multiple Choice

Multiply:
(4 – 3i)(-7 – 2i)

1

A. -23 + 13i

2

B. -23 - 29i

3

C. -34 + 13i

4

D. -34 - 29i

6

Multiple Choice

Multiply:
(2-5i)(2+5i)

1

29

2

4 - 25i

3

25 - 10i

4

-21

7

Multiple Choice

$Simplify:\ \ \ \ 2i\left(4\ +\ 3i\right)$

1

$-6\ +\ 8i$

2

$6\ +\ 8i$

3

$-6i\ +\ 8i$

4

$-1\ +\ 8i$

8

Multiple Choice

How do you feel about this lesson?

1

I get it.

2

uhm...

3

sure! (I don't)

9

Multiple Choice

Multiply/simplify the expression $\left(3\ +\ 4i\right)\left(3\ +\ 4i\right)$

1

$-7\ +\ 24i$

2

$-25\ +\ 24i$

3

$7\ +24i$

4

$25\ +24i$

10

Multiple Choice

$Simplify:\ \ \left(-2\ +\ 7i\right)\left(4\ -\ 2i\right)$

1

$6+\ 32i$

2

$-6\ +\ 32i$

3

$22+32i$

4

$6\ +\ 24i$

11

Multiple Choice

$\left(7-5i\right)\left(7+5i\right)$

1

74

2

75

3

74+i

4

75-i

Simplifying Complex and imaginary Numbers

SWBAT: Define and use imaginary and complex numbers. Solve quadratic equations with complex roots.

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Imaginary and Complex Numbers

Simplifying Complex and imaginary Numbers

Complex and imaginary Numbers: Simplifying

​Multiplying Complex Numbers

Simplifying Complex and imaginary Numbers

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Multiplying Complex Numbers