CCSS: CN4 Represent complex numbers on the complex plane in rectangular form (Recall)
CA-A2 5.0-Students can explain what a complex number is and can plot complex numbers in the complex plane
Graph the following complex numbers to create a picture…
Now that you have plotted all the complex numbers answer the questions below…
1) List all of the imaginary numbers. If there aren’t any explain why. / 2) List all of the real numbers. If there aren’t any explain why. / 3) Explain what a complex number is.4) How many complex numbers are in Quadrant I? / 5) How many complex numbers have a<0 and b<0? What Quadrant is this? / 6) How many complex numbers have a<0 and b>0?
CCSS: CN4 Represent complex numbers on the complex plane in rectangular form( Recall)
CA-A2 5.0-Students can explain what a complex number is and can plot complex numbers in the complex plane
Graph the following complex numbers to create a picture…
Now that you have plotted all the complex numbers answer the questions below…
1) List all of the imaginary numbers. If there aren’t any explain why. / 2) List all of the real numbers. If there aren’t any explain why. / 3) Explain what a complex number is.4) How many complex numbers are in Quadrant I? / 5) How many complex numbers have a<0 and b<0? What Quadrant is this? / 6) How many complex numbers have a<0 and b>0?
ANSWER KEY
1) List all of the imaginary numbers. If there aren’t any explain why.4i and -7i / 2) List all of the real numbers. If there aren’t any explain why.
There are no real numbers because none lie on the real axis / 3) Explain what a complex number is.
A complex number is a number in the form a+bi where a is the real part and bi is the imaginary part
4) How many complex numbers are in Quadrant I?
THREE (4i is NOT a complex number so you cannot count it as in Quadrant I) / 5) How many complex numbers have a<0 and b<0? What Quadrant is this?
NINE / 6) How many complex numbers have a<0 and b>0?
None