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=i2⋅i=(−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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