Division (Level 1)

This math topic focuses on practicing the division of complex numbers, enhancing skills in simplifying expressions that involve complex numbers in the form 'a + bi'. It covers basic to more challenging division problems where students must apply the correct formula for dividing complex numbers, potentially involving conjugates to simplify the denominator. Each problem provides multiple-choice answers, requiring students to correctly compute and identify the simplest form of the quotient. This is a fundamental aspect of complex number operations, essential for students mastering higher-level algebra and precalculus concepts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Complex Numbers - Division Worksheet

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Complex Numbers - Division
1
Divide these complex numbers and simplify
A LaTex expression showing 4 - 4i over 2 - 6i
a A LaTex expression showing 4 + 2i over 5
b A LaTex expression showing 6 + 2i over 5
c A LaTex expression showing 4 + 4i over 5
d A LaTex expression showing 4 - 2i over 5
e A LaTex expression showing 4 + 2i over -5
f A LaTex expression showing 4 + 1i over 5
2
Divide these complex numbers and simplify
A LaTex expression showing 5 + 3i over -5 + 4i
a A LaTex expression showing -13 - 36i over 41
b A LaTex expression showing -13 - 35i over 41 - 1i
c A LaTex expression showing 13 - 35i over 41
d A LaTex expression showing -13 - 35i over 41 - 2i
e A LaTex expression showing -13 - 35i over 41
f A LaTex expression showing -15 - 35i over 41
3
Divide these complex numbers and simplify
A LaTex expression showing -5 + 3i over 3 - 6i
a A LaTex expression showing -11 - 7i over 15
b A LaTex expression showing -13 - 7i over 15
c A LaTex expression showing -11 - 7i over 15 + 2i
d A LaTex expression showing 11 - 7i over 15
e A LaTex expression showing -11 - 7i over 14
f A LaTex expression showing -11 - 6i over 15
4
Divide these complex numbers and simplify
A LaTex expression showing 4 + 4i over -3 + 4i
a A LaTex expression showing 4 - 28i over 25
b A LaTex expression showing 2 - 28i over 25
c A LaTex expression showing 4 - 28i over -25
d A LaTex expression showing 4 + 28i over 25
e A LaTex expression showing -4 - 28i over 25
f A LaTex expression showing 4 - 30i over 25
5
Divide these complex numbers and simplify
A LaTex expression showing 5 + 4i over 5 - 5i
a A LaTex expression showing 1 + 10i over 10
b A LaTex expression showing 1 + 9i over 10 - 1i
c A LaTex expression showing 1 + 9i over 9
d A LaTex expression showing 1 + 7i over 10
e A LaTex expression showing -1 + 9i over 10
f A LaTex expression showing 1 + 9i over 10
6
Divide these complex numbers and simplify
A LaTex expression showing -5 - 5i over -5 + 5i
a A LaTex expression showing 1i over 1 - 1i
b A LaTex expression showing 1i over 1 + 2i
c A LaTex expression showing 2 + 1i
d A LaTex expression showing -1i
e A LaTex expression showing 1i over 2
f A LaTex expression showing 1i
7
Divide these complex numbers and simplify
A LaTex expression showing -5 + 5i over 5 - 3i
a A LaTex expression showing -20 + 5i over 19
b A LaTex expression showing -20 + 5i over 15
c A LaTex expression showing -20 + 3i over 17
d A LaTex expression showing -20 + 5i over 17
e A LaTex expression showing -22 + 5i over 17
f A LaTex expression showing -20 + 4i over 17
8
Divide these complex numbers and simplify
A LaTex expression showing -3 + 5i over -3 - 4i
a A LaTex expression showing -9 - 27i over 25
b A LaTex expression showing 11 - 27i over 25
c A LaTex expression showing -11 - 27i over 25
d A LaTex expression showing -11 - 28i over 25
e A LaTex expression showing -11 - 27i over -25
f A LaTex expression showing -12 - 27i over 25