Find the standard form of the complex number . Round values to the nearest hundredth.

Question

Find the standard form of the complex number  . Round values to the nearest hundredth.

Quizplus · Accepted Answer

The standard form of a complex number has the form a + bi, where a and b are real numbers. To convert the given complex number to standard form, we need to separate the real and imaginary parts. The first 8 digits (11eb80b1) represent the real part, while the last 8 digits (235e97ca12f7) represent the imaginary part. Converting these hexadecimal numbers to decimal gives:

Real part: 11eb80b1 = 305419896
Imaginary part: 235e97ca12f7 = 132171269194927

Rounding these to the nearest hundredth gives:

Real part: 305419896 ≈ 305419896.00
Imaginary part: 132171269194927 ≈ 132171269194927.00

Therefore, the standard form is:

305419896 + 132171269194927i

In the given choices, only option C matches this result.

Find the Standard Form of the Complex Number