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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Division

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Divide these complex numbers and simplify

6+3i3+2i\frac{-6 + 3i}{3 + 2i}

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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 -3 - 5i over 2 - 4i
a A LaTex expression showing 7 - 11i over 10 - 2i
b A LaTex expression showing -7 - 11i over 10
c A LaTex expression showing 7 - 11i over 10
d A LaTex expression showing 8 - 11i over 10
e A LaTex expression showing 7 - 10i over 10
f A LaTex expression showing 7 - 13i over 10
2
Divide these complex numbers and simplify
A LaTex expression showing -3 - 4i over 5 - 5i
a A LaTex expression showing 1 - 5i over 10
b A LaTex expression showing 1 - 6i over 10
c A LaTex expression showing 1 - 7i over 10
d A LaTex expression showing -7i over 10
e A LaTex expression showing 1 - 7i over 10 + 1i
f A LaTex expression showing 1 - 7i over -10
3
Divide these complex numbers and simplify
A LaTex expression showing -6 + 3i over 3 + 2i
a A LaTex expression showing -12 + 21i over 13
b A LaTex expression showing -14 + 21i over 13
c A LaTex expression showing -12 + 19i over 13
d A LaTex expression showing -12 + 21i over -13
e A LaTex expression showing -10 + 21i over 13
f A LaTex expression showing 12 + 21i over 13
4
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 1i over 2
d A LaTex expression showing 1i
e A LaTex expression showing -1i
f A LaTex expression showing 2 + 1i
5
Divide these complex numbers and simplify
A LaTex expression showing 5 - 6i over 5 - 4i
a A LaTex expression showing 49 - 12i over 41
b A LaTex expression showing 47 - 10i over 41
c A LaTex expression showing 49 - 10i over 41
d A LaTex expression showing 49 + 10i over 41
e A LaTex expression showing 51 - 10i over 41
f A LaTex expression showing 50 - 10i over 41
6
Divide these complex numbers and simplify
A LaTex expression showing -4 - 5i over 3 + 4i
a A LaTex expression showing -32 - 1i over 25
b A LaTex expression showing -32 over 25
c A LaTex expression showing -32 + 1i over 27
d A LaTex expression showing -32 + 1i over 25
e A LaTex expression showing -32 + 1i over -25
f A LaTex expression showing 32 + 1i over 25
7
Divide these complex numbers and simplify
A LaTex expression showing 2 - 6i over 4 + 3i
a A LaTex expression showing -2 - 6i over 5
b A LaTex expression showing -4 - 6i over 5
c A LaTex expression showing -2 - 8i over 5
d A LaTex expression showing -2 - 7i over 5
e A LaTex expression showing -3 - 6i over 5
f A LaTex expression showing -2 - 6i over -5