Simplifying Complex Numbers
Presentation
•
Mathematics
•
10th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 12 Questions
1
Learning Target: students will simplify complex expressions using various methods: addition, subtraction, multiplication, & division. Then you will categorize them into the Complex Number System.
https://youtu.be/T647CGsuOVU
2
When adding complex numbers
-Add real parts together
-Add imaginary parts together
3
Multiple Choice
Find the sum.
(5-2i) + (-7+8i)
-2+6i
12+6i
-35-16i2
-35 -16i
4
Distribute the negative
Add real parts together
Add imaginary parts together
5
Multiple Choice
Simplify:
(10+ 15i) - (48 - 30i)
58 - 45i
58 - 15i
-38 - 15i
-38 + 45i
6
Distribute
or use FOIL Method
Add like terms
simplify i2
Write in standard form of complex number ---- a+bi
7
Multiple Choice
(2i)(3i)
5i
-5
6i
-6
8
Fill in the Blanks
4i(−2−8i)
Type answer...
9
Multiple Choice
(3+8i)(-2-i)
2-19i
23-i
34+5i
23-i
10
Check your denominator terms
Monomial
vs
binomial
11
The conjugate of a + bi is a - bi
The conjugate of a - bi is a + bi
12
Multiple Choice
What is the conjugate of 2 + 3i?
2 - 3i
-2 + 3i
-2 - 3i
2 + 3i
13
Multiple Choice
Simplify.
14
Multiple Choice
3+2i5−8i , what do you do to divide?
Multiply the top and bottom by 3-2i
Multiply the top and bottom by 5 + 8i
multiply the top by 5 + 8i and the bottom by 3 - 2i
Multiply the top and bottom by -3 - 2i
15
Multiple Choice
Solve By Square Roots:
5v2+2=−5
±57
57
±i57
±i53
16
The Complex Number System
17
A set is closed under an operation if applying the operation to elements of the set produces another element of the set
18
Multiple Choice
Closure property of integers states that if a and b are integers then a + b =c, c is also an integer?
True
False
19
Multiple Choice
Integers are closed under division.
20
Poll
How do you feel about this lesson?
Learning Target: students will simplify complex expressions using various methods: addition, subtraction, multiplication, & division. Then you will categorize them into the Complex Number System.
https://youtu.be/T647CGsuOVU
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