College

The standard form of a complex number is [tex]a + b i[/tex]. What is the standard form for the number 94?

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 the standard form of a complex number, we utilize the format [tex]\( a + bi \)[/tex], where [tex]\( a \)[/tex] is the real part and [tex]\( b \)[/tex] is the coefficient of the imaginary part.

1. Identify the real part: In the number 94, the real part is 94. So, [tex]\( a = 94 \)[/tex].

2. Identify the imaginary part: Since the number 94 does not explicitly include any imaginary component, we infer that the coefficient of the imaginary part is 0. So, [tex]\( b = 0 \)[/tex].

Combining both the real and imaginary parts, we get the complex number in standard form:
[tex]\[ 94 + 0i \][/tex]

Thus, the correct representation of the number 94 in standard form is [tex]\( 94 + 0i \)[/tex].

Given the options:
- [tex]\( 94 + 0i \)[/tex]
- [tex]\( 94 + 1i \)[/tex]
- [tex]\( 1 + 94i \)[/tex]
- [tex]\( 0 + 94i \)[/tex]

The correct answer is [tex]\( 94 + 0i \)[/tex].