Add/Subtract Complex Numbers
Simplify the following expression:
2x+3x
What is,
5x?
Simplify the following expression:
2x\cdot3x
What is,
6x^2?
Using your whiteboards, graph the point (3,2).
What is, the point that is 3 to the right and 2 units up from the origin?
What is, complex numbers that do not have a real part and only the imaginary part like 3i?
Simplify i6
What is, -1
Simplify the following expression:
3x^2+5x+2-(2x^2+4)
What is,
x^2+5x-2?
Simplify the following expression:
(x+3)(x+2)
What is,
x^2+5x+6?
Double Points: What quadrant does the point (-2,-5) lie in?
What is, Quadrant 3 as it is in the bottom left part of our graph?
Double Points: Find the solutions to
x^2=-1
What is,
-i and +i?
How many triangles are there? (see drawing)
What is, 13
Simplify the following complex number:
(3+2i)+(5+2i)
What is,
8+4i?
Multiply the following complex numbers:
(2+3i)(3+2i)
What is,
13i?
Using your whiteboards, graph -2+3i.
What is, the same as the point (-2,3)?
What is the general form of a complex number and it's conjugate.
What is, a+bi and a-bi?
Simplify 43 + 67 + 25 + 11 + 89 + 75 + 57 + 33
What is, 400
Simplify the following complex number:
(3+2i)-(5-3i)
What is,
-2+5i?
Multiply the following:
(3+4i)(3-4i)
What is,
25?
Using your whiteboards, graph the conjugate of -3i+5.
What is, the same as the point (3,5)?
Define i and i2.
What is,
i=\sqrt{-1} and i^2=-1?
There is a three digit number. The second is four times as big as the third number, while the first is three less than the second digit.
What is, 141
What occurs when you add a complex number with it's conjugate?
What is, the imaginary part disappears and it is no longer a complex number?
What occurs when you multiply a number by it's conjugate.
What is, the imaginary part disappears?
In terms of a graphical representation, how is a complex number related to it's conjugate?
What is, they are mirror images of each other? They are reflections of each other over the x-axis?
Are the set of complex numbers closed under addition?
What is, no, if we add (2+3i) and it's conjugate (2-3i), we get back 4, which is no longer a complex number since there is no imaginary part to it. Thus, the set of complex numbers is not closed under addition since if we add two complex numbers, there are some situations where we will get back a number that is not complex.
The number of full days until we return from winter break.
What is, 35