Complex Numbers Worksheet Page 2
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6Math 96–Complex Numbers–page #2
n.
Some books write
. Be careful if you do this because
is NOT
o.
4i is called an imaginary number (it has its uses; its name is imaginary maybe because someone
had to imagine
). In complex number form, 4i is written as 0 + 4i (a = 0, b = 4).
p.
is called an imaginary number. In complex number form,
is written as 0 +
can also be written 0 +
). Either way, a = 0 and b =
.
q.
In the standard form a + bi, a is the real number part and bi is the imaginary number part. In 7 +
5i, the real number is 7 and the imaginary number is 5i. The whole expression 7 + 5i is called a
complex number.
r.
13 +
+ 5
13 + b e i comes
+ 5
i
13 + i
+ 5
3i
18
2i
Homework. Simplify appropriately.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
Write 12i in complex number form.
28.
Write
in complex number form.
What is a? What is b?
What is a? What is b?
29.
In 17 + 3i, what is the real number part? What is the imaginary number part?
30.
Try simplifying the following:
a.
3 +
b.
8
c.
14 +
d.
7 +
compared to
7
e.
8 +
+ 14 +
f.
(16 + 3
) + (9
7
)
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