College

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

A. [tex]$94 + 0i$[/tex]
B. [tex]$94 + 1i$[/tex]
C. [tex]$1 + 94i$[/tex]
D. [tex]$0 + 94i$[/tex]

Answer :

To express the number 94 in standard form as a complex number, we should understand what a complex number looks like. The standard form of a complex number is written as [tex]\( a + bi \)[/tex], where [tex]\( a \)[/tex] is the real part and [tex]\( b \)[/tex] is the imaginary part.

1. Identify the Real Part:
- The number 94 is a real number, so this becomes our real part [tex]\( a \)[/tex].

2. Identify the Imaginary Part:
- Since 94 does not have an imaginary part, the imaginary component [tex]\( b \)[/tex] is 0.

3. Combine into Standard Form:
- Therefore, 94 can be written as [tex]\( 94 + 0i \)[/tex] in standard form, indicating that its imaginary part is zero.

Thus, the standard form of the number 94 as a complex number is [tex]\( 94 + 0i \)[/tex]. This aligns with our understanding that every real number can be considered a complex number with an imaginary part of zero.

Among the given options:
- [tex]\( 94 + 0i \)[/tex] is the correct representation.