Imaginary Numbers Review

Front

What is the value of i^6?

Back

-1

Tags

CCSS.HSN.CN.A.2

Front

What is the value of i^23?

Back

-i

Tags

CCSS.HSN.CN.A.2

Front

Simplify (2i)^4.

Back

16

Tags

CCSS.HSN.CN.A.2

Front

What is the product of (8 - 4i) and (10 + 2i)?

Back

88 - 24i

Front

What is the sum of (5 + 7i) and (10 - 15i)?

Back

15 - 8i

Tags

CCSS.HSN.CN.A.2

Front

Define imaginary numbers.

Back

Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit i, where i is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit i?

Back

The imaginary unit i is defined as i = √(-1).

Tags

CCSS.HSN.CN.A.1

Front

What is the pattern for powers of i?

Back

The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Tags

CCSS.HSN.CN.A.2

Front

How do you multiply two complex numbers?

Back

To multiply two complex numbers, use the distributive property (FOIL) and combine like terms.

Tags

CCSS.HSN.CN.A.2

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Tags

CCSS.HSN.CN.A.3