Division Imaginary Part Only (Level 1)

This math topic focuses on dividing complex numbers, specifically emphasizing cases where only the imaginary parts are involved. Skills practiced include simplifying expressions after division and handling negative imaginary units. The problems are structured to help learners understand how to manipulate and simplify complex numbers involving imaginary parts, a foundational skill in complex number arithmetic. Each question presents multiple answer choices, indicating a focus on recognizing correct simplifications and results from the divisions.

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

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Complex Numbers - Division Imaginary Part Only Worksheet

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Math worksheet on 'Complex Numbers - Division Imaginary Part Only (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 -5i over 4i
a A LaTex expression showing -5 over 4
b A LaTex expression showing -3 over 4
c A LaTex expression showing -5 + 2i over 4
d A LaTex expression showing -5 over -4
e A LaTex expression showing -5 - 2i over 4
f A LaTex expression showing -6 over 4
2
Divide these complex numbers and simplify
A LaTex expression showing 2i over 5i
a A LaTex expression showing 3 over 5
b A LaTex expression showing 1 over 5
c A LaTex expression showing 2 over 5 + 1i
d A LaTex expression showing 2 - 1i over 5
e A LaTex expression showing 2 over 5 - 1i
f A LaTex expression showing 2 over 5
3
Divide these complex numbers and simplify
A LaTex expression showing 4i over -5i
a A LaTex expression showing -5 over 5
b A LaTex expression showing -4 - 1i over 5
c A LaTex expression showing -4 over 5
d A LaTex expression showing -4 over 5 - 2i
e A LaTex expression showing -2 over 5
f A LaTex expression showing -4 - 2i over 5
4
Divide these complex numbers and simplify
A LaTex expression showing -3i over 5i
a A LaTex expression showing -5 over 5
b A LaTex expression showing 3 over 5
c A LaTex expression showing -3 over 7
d A LaTex expression showing -3 over 5 - 1i
e A LaTex expression showing -3 + 2i over 5
f A LaTex expression showing -3 over 5
5
Divide these complex numbers and simplify
A LaTex expression showing 3i over -4i
a A LaTex expression showing -3 + 1i over 4
b A LaTex expression showing -3 over 6
c A LaTex expression showing -3 over 4
d A LaTex expression showing -3 over 4 - 2i
e A LaTex expression showing -3 + 2i over 4
f A LaTex expression showing -3 - 1i over 4
6
Divide these complex numbers and simplify
A LaTex expression showing -5i over -6i
a A LaTex expression showing 5 - 1i over 6
b A LaTex expression showing 5 over 4
c A LaTex expression showing 6 over 6
d A LaTex expression showing 5 over 7
e A LaTex expression showing 7 over 6
f A LaTex expression showing 5 over 6
7
Divide these complex numbers and simplify
A LaTex expression showing -6i over -6i
a A LaTex expression showing 3
b A LaTex expression showing 1 - 2i
c A LaTex expression showing -1
d A LaTex expression showing 2
e A LaTex expression showing 1 + 1i
f A LaTex expression showing 1