Example 1: Complex number = 6
a + bi form: 6 + 0i
Real part: 6
Imaginary part: 0
Example 2: Complex number = 4i
a + bi form: 0 + 4i
Real part: 0
Imaginary part: 4
Example 3: Complex number = 2 + 3i
a + bi form: 2 + 3i
Real part: 2
Imaginary part: 3
Response to classmate 1:
Complex number: -8 + 2i
a + bi form: -8 + 2i
Real part: -8
Imaginary part: 2
The real part of a complex number is the coefficient of 'a' in the a + bi form, while the imaginary part is the coefficient of 'b'. Negative values do not change the identification of the real and imaginary part in complex numbers. In this case, the real part is -8 and the imaginary part is 2.
Response to classmate 2:
Complex number: √5 - 3i
a + bi form: √5 - 3i
Real part: √5
Imaginary part: -3
Irrational values, like √5, can be part of the real or imaginary part of a complex number. In this case, √5 is the real part and -3 is the imaginary part. The rules for identifying the real and imaginary part remain the same.
Write three examples of complex numbers. Make one example be just an integer, the next example a purely imaginary number, and the last example have both an a and b that is not zero. Then, re-write each of your complex numbers in a + bi form and identify the real and imaginary part.
After you have posted your complex numbers, their a + bi form, and your identification of their real and imaginary part, respond to two of your classmates’ posts. In your response to each post: Re-write their complex numbers in a + bi form. Create rules for how to Identify the real and imaginary part of complex numbers. Explore what effect, if any, negative values and irrational values play in complex numbers.
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