www.iTutoring.com -­‐ NOTES Name _________________________________ Graphing Complex Numbers and Absolute Value of Complex Numbers Date ___________________ Period _______ Complex Numbers
real part ! a + bi
" imaginary part
The Complex Plane
Horizontal number line - real axis
Vertical number line - imaginary axis
real
imaginary
Complex Numbers
real part ! a + bi
" imaginary part
The Complex Plane
Horizontal number line - real axis
Vertical number line - imaginary axis
1 + 5i
-6 + 2i
-3i
3 – 2i
The Absolute Value of a Complex Number
Its distance from the origin (0,0)
|a + bi| =
a2
+
1 + 5i
b2
-6 + 2i
|1 + 5i|
-3i
3 – 2i
The Absolute Value of a Complex Number
Its distance from the origin (0,0)
|a + bi| =
a2
+
1 + 5i
b2
-6 + 2i
|-6 + 2i|
-3i
3 – 2i
© iTutoring.com
Graphing Complex Numbers and Absolute Value of Complex Numbers Pg. 2 The Absolute Value of a Complex Number
Its distance from the origin (0,0)
|a + bi| =
a2
+
1 + 5i
b2
-6 + 2i
|-3i|
-3i
3 – 2i
The Absolute Value of a Complex Number
Its distance from the origin (0,0)
|a + bi| =
a2
+
1 + 5i
b2
-6 + 2i
|3 – 2i|
-3i
3 – 2i
© iTutoring.com
Graphing Complex Numbers and Absolute Value of Complex Numbers Pg. 3