College

The standard form of a complex number is [tex]$a + bi$[/tex].

What is the standard form for the number [tex]$94$[/tex]?

A. [tex]$94 + 0i$[/tex]

B. [tex]$0 + 94i$[/tex]

C. [tex]$1 + 94i$[/tex]

D. [tex]$94 + 1i$[/tex]

Answer :

A complex number in standard form is written as
[tex]$$
a + bi,
$$[/tex]
where [tex]$a$[/tex] is the real part and [tex]$b$[/tex] is the coefficient of the imaginary part.

Given the number [tex]$94$[/tex], we recognize it as a real number. Any real number can be written as a complex number by taking the imaginary part to be zero. In other words, we can express [tex]$94$[/tex] as
[tex]$$
94 + 0i.
$$[/tex]

Here, the real part is [tex]$94$[/tex] and the imaginary part is [tex]$0$[/tex].

Thus, the standard form of the number [tex]$94$[/tex] is
[tex]$$
94+0i.
$$[/tex]