12-04 Imaginary Numbers- Intro

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 does the letter 'i' represent in mathematics?

Back

The letter 'i' represents the imaginary unit, which is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1

Front

Simplify √-16.

Back

4i.

Front

What is the result of i^2?

Back

i^2 = -1.

Tags

CCSS.HSN.CN.A.1

Front

How do you express √-x in terms of 'i'?

Back

√-x = i√x.

Tags

CCSS.HSN.CN.A.1

Front

Simplify -√-25.

Back

-5i.

Front

What is the relationship between real numbers and imaginary numbers?

Back

Real numbers can be represented on a number line, while imaginary numbers are represented on a perpendicular axis, forming a complex plane.

Tags

CCSS.HSN.CN.A.1

Front

What is a complex number?

Back

A complex number is a number that has a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the imaginary part.

Tags

CCSS.HSN.CN.A.1

Front

Simplify √-49.

Back

7i.

Front

What is the product of two imaginary numbers, i and i?

Back

i * i = i^2 = -1.

Tags

CCSS.HSN.CN.A.2