Calssify Numbers as Real/Rational or Real/Irrational
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1. Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!
a. (3)1/2 + 2i
b. 3.14
c. π
d. (16)1/4 + 6
e. (18)1/3
f. 1/6
g. 6i
h. 3 - (-9)1/2
Rational Number Irrational Number Complex Number
2. a) Select any irrational number, and turn it into a rational number by using addition, subtraction, multiplication, division, or exponentiation.
b) Select any imaginary number (of the form "a + bi" where a and b are non-zero real numbers), and turn it into a real number by using addition, subtraction, multiplication, division, or exponentiation.
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Kavita Narang
1. Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!
a. (3)1/2 + 2i
b. 3.14
c. π
d. (16)1/4 + 6
e. (18)1/3
f. 1/6
g. 6i
h. 3 - (-9)1/2
1. (3)1/2 + 2i is complex since there is an imaginary "i" term
2. 3.14 is rational (assuming that it terminates).
3. Pi
is irrational ...
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