Imaginary & Complex Numbers

Front

What is an imaginary number?

Back

An imaginary number is a number 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 value of i^2?

Back

i^2 = -1.

Tags

CCSS.HSN.CN.A.1

Front

Simplify √-16.

Back

4i.

Front

What is a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

Tags

CCSS.HSN.CN.A.1

Front

What is the real part of the complex number 3 + 4i?

Back

The real part is 3.

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary part of the complex number 3 + 4i?

Back

The imaginary part is 4.

Tags

CCSS.HSN.CN.A.1

Front

Simplify (2 + 3i) + (4 - 5i).

Back

6 - 2i.

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CCSS.HSN.CN.A.2

Front

What is the product of (1 + i) and (1 - i)?

Back

2.

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CCSS.HSN.CN.A.2

Front

Simplify (3i)(2i).

Back

-6.

Tags

CCSS.HSN.CN.A.2

Front

What is the conjugate of the complex number 5 + 2i?

Back

The conjugate is 5 - 2i.

Tags

CCSS.HSN.CN.A.3