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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Math worksheet on 'Complex Numbers - Division (Level 1)'. Part of a broader unit on 'Complex Numbers' Learn online: app.mobius.academy/math/units/complex_numbers/
1
Divide these complex numbers and simplify
A LaTex expression showing -4 + 2i over 5 + 3i
a A LaTex expression showing -7 + 9i over 17
b A LaTex expression showing -7 + 11i over 17
c A LaTex expression showing -7 + 11i over -17
d A LaTex expression showing -7 + 11i over 18
e A LaTex expression showing -9 + 11i over 17
f A LaTex expression showing 7 - 11i over 17
2
Divide these complex numbers and simplify
A LaTex expression showing 3 + 5i over 2 + 2i
a A LaTex expression showing 2 + 1i over 2
b A LaTex expression showing 4 - 1i over 2
c A LaTex expression showing 4 + 3i over 2
d A LaTex expression showing 4 + 1i over 2
e A LaTex expression showing 4 + 1i over 2 + 2i
f A LaTex expression showing -4 - 1i over 2
3
Divide these complex numbers and simplify
A LaTex expression showing -6 - 6i over 3 + 4i
a A LaTex expression showing -42 + 6i over -25
b A LaTex expression showing -43 + 6i over 25
c A LaTex expression showing -42 - 6i over 25
d A LaTex expression showing -42 + 4i over 25
e A LaTex expression showing -42 + 6i over 25
f A LaTex expression showing -44 + 6i over 25
4
Divide these complex numbers and simplify
A LaTex expression showing -5 + 3i over 3 - 6i
a A LaTex expression showing -11 - 6i over 15
b A LaTex expression showing -11 - 7i over 15 + 2i
c A LaTex expression showing -11 - 7i over 15
d A LaTex expression showing 11 - 7i over 15
e A LaTex expression showing -13 - 7i over 15
f A LaTex expression showing -11 - 7i over 14
5
Divide these complex numbers and simplify
A LaTex expression showing -5 + 5i over 5 - 3i
a A LaTex expression showing -20 + 4i over 17
b A LaTex expression showing -20 + 5i over 19
c A LaTex expression showing -20 + 5i over 15
d A LaTex expression showing -20 + 5i over 17
e A LaTex expression showing -20 + 3i over 17
f A LaTex expression showing -22 + 5i over 17
6
Divide these complex numbers and simplify
A LaTex expression showing 5 - 5i over -5 - 6i
a A LaTex expression showing 5 + 57i over 61
b A LaTex expression showing 5 + 55i over 61
c A LaTex expression showing 5 + 55i over -61
d A LaTex expression showing 5 + 55i over 63
e A LaTex expression showing 5 + 56i over 61
f A LaTex expression showing 5 + 55i over 60
7
Divide these complex numbers and simplify
A LaTex expression showing -3 + 5i over -3 - 4i
a A LaTex expression showing -12 - 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 -9 - 27i over 25