Question

What are the real and imaginary parts of the complex number? −6−i Enter your answers in the boxes. The real part: The imaginary part:

Answer 1

Answer:

Real part = -6 and imaginary part = -i

Step-by-step explanation:

A complex number can be written as a + bi,

where both a and b are real numbers,

While, i is an imaginary number ( equals to √-1, because √-1 does not defined as a real number ),

The product of a real number and imaginary number is imaginary number,

∴ bi is called imaginary part of a + bi

Also, a is real number ⇒ a is real part of a + bi

Here, the given complex number,

-6-i

By comparing,

Imaginary part = -i, real part = -6.

Answer 2

We want to see the real and imaginary parts of a given complex number.

The real part is: -6

The imaginary part is: -1

A general complex number is written as:

z = a + b*i

Where a is the real part and b is the imaginary part.

In this case, we have the number:

z = -6 - i

We can rewrite this as:

z = -6 + (-1)*i

Then the real part is the number that is alone, in this case, -6.

The imaginary part is the coefficient that multiplies the "i", which is -1.

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