Multiplication (Level 1)

This math topic focuses on practicing the multiplication of complex numbers and simplifying the results. The problems require students to multiply given pairs of complex numbers and choose the correct simplified form from multiple options. This includes handling both positive and negative real and imaginary components. Each question provides images with LaTeX expressions, depicting both the complex number multiplication and various answer choices. This topic enhances understanding of complex arithmetic within the broader unit on complex numbers.

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

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Complex Numbers - Multiplication Worksheet

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Complex Numbers - Multiplication
1
Multiply these complex numbers and simplify
A LaTex expression showing (-4 + 5i) times (-5 + 3i)
a A LaTex expression showing 5 - 37i
b A LaTex expression showing 4 - 37i
c A LaTex expression showing 5 + 37i
d A LaTex expression showing 5 - 36i
e A LaTex expression showing 7 - 37i
f A LaTex expression showing 5 - 39i
2
Multiply these complex numbers and simplify
A LaTex expression showing (-4 + 2i) times (-5 - 5i)
a A LaTex expression showing 30 + 12i
b A LaTex expression showing 32 + 10i
c A LaTex expression showing 29 + 10i
d A LaTex expression showing 30 + 10i
e A LaTex expression showing -30 + 10i
f A LaTex expression showing 28 + 10i
3
Multiply these complex numbers and simplify
A LaTex expression showing (5 - 5i) times (-3 - 4i)
a A LaTex expression showing -34 - 5i
b A LaTex expression showing -36 - 5i
c A LaTex expression showing -37 - 5i
d A LaTex expression showing -35 - 3i
e A LaTex expression showing -35 - 5i
f A LaTex expression showing -35 - 4i
4
Multiply these complex numbers and simplify
A LaTex expression showing (-5 + 3i) times (2 + 3i)
a A LaTex expression showing -19 - 9i
b A LaTex expression showing -20 - 9i
c A LaTex expression showing -19 - 7i
d A LaTex expression showing -17 - 9i
e A LaTex expression showing -19 - 11i
f A LaTex expression showing -19 + 9i
5
Multiply these complex numbers and simplify
A LaTex expression showing (-6 - 3i) times (3 - 5i)
a A LaTex expression showing -35 + 21i
b A LaTex expression showing -33 + 22i
c A LaTex expression showing -33 + 19i
d A LaTex expression showing -33 + 23i
e A LaTex expression showing -31 + 21i
f A LaTex expression showing -33 + 21i
6
Multiply these complex numbers and simplify
A LaTex expression showing (4 - 6i) times (-4 - 4i)
a A LaTex expression showing -40 + 8i
b A LaTex expression showing -40 + 9i
c A LaTex expression showing -39 + 8i
d A LaTex expression showing -40 - 8i
e A LaTex expression showing -42 + 8i
f A LaTex expression showing -40 + 7i
7
Multiply these complex numbers and simplify
A LaTex expression showing (3 + 5i) times (-5 + 5i)
a A LaTex expression showing -39 - 10i
b A LaTex expression showing -40 - 12i
c A LaTex expression showing -40 - 10i
d A LaTex expression showing -38 - 10i
e A LaTex expression showing -41 - 10i
f A LaTex expression showing -40 - 11i
8
Multiply these complex numbers and simplify
A LaTex expression showing (-6 - 4i) times (2 + 5i)
a A LaTex expression showing 8 - 39i
b A LaTex expression showing -8 - 38i
c A LaTex expression showing 8 - 36i
d A LaTex expression showing 7 - 38i
e A LaTex expression showing 8 - 38i
f A LaTex expression showing 8 - 37i