Complex Numbers Warmup

• 10
• -10
• 10i
• -10i

What is the complex conjugate of  4-3i?

• A.  1/(4-3i)

• B. 1/(4+3i)

• C.  -4 + 3i

• D.  4 + 3i

Answer explanation

The complex conjugate of a complex number a + bi is a - bi. For 4 - 3i, the conjugate is 4 + 3i, which corresponds to choice D.

Tags

CCSS.HSN.CN.A.3

What letter represents an imaginary number?

• a

• i

• j

• x

Answer explanation

The letter 'i' is commonly used to represent the imaginary unit in mathematics, defined as the square root of -1. Other letters like 'j' are used in engineering, but 'i' is the standard notation.

Tags

CCSS.HSN.CN.A.1

• True

• False

Answer explanation

The statement is true because $i$ is defined as the imaginary unit, which is equal to the square root of -1. This is a fundamental concept in complex numbers.

Tags

CCSS.HSN.CN.A.1

• the imaginary part

• -9i

• the imaginary unit

• 7+9i

• the real part

• 7

• the complex conjugate

Tags

CCSS.HSN.CN.A.1

Simplify.

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2