HSN.CN.A.1 math practice. Learn by doing.

HSN.CN.A.1 practice covers know there is a complex number i such that i² = −1, and every complex number has the form a + bi with a and b real. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 111 mapped skills
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Skills aligned to HSN.CN.A.1

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8 free questions · 0/0 correct

Practice playeasy

What is 6+8i|6 + 8i|?

6+8i=62+82=100=10|6 + 8i| = \sqrt{6^2 + 8^2} = \sqrt{100} = 10.

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What is (3i)2(3i)^{2}?

(3i)2=9i2=9(1)=9(3i)^{2} = 9i^{2} = 9(-1) = -9.

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What is i3i^{3}?

i3=i2i=(1)(i)=ii^{3} = i^{2} \cdot i = (-1)(i) = -i.

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What is 5+12i|5 + 12i|?

5+12i=52+122=169=13|5 + 12i| = \sqrt{5^2 + 12^2} = \sqrt{169} = 13.

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What is (2i)2(2i)^2?

(2i)2=4i2=4(1)=4(2i)^2 = 4i^2 = 4(-1) = -4.

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What is i6i^{6}?

i6=(i2)3=(1)3=1i^{6} = (i^{2})^{3} = (-1)^{3} = -1.

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What is 8+15i|8 + 15i|?

8+15i=82+152=289=17|8 + 15i| = \sqrt{8^2 + 15^2} = \sqrt{289} = 17.

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What is (4i)2(4i)^2?

(4i)2=16i2=16(1)=16(4i)^2 = 16i^2 = 16(-1) = -16.

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