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Answer :
To express the number 94 in the standard form of a complex number, we need to understand what the standard form means. In mathematics, a complex number is written as [tex]\( a + bi \)[/tex], where:
- [tex]\( a \)[/tex] is the real part of the complex number.
- [tex]\( b \)[/tex] is the coefficient of the imaginary part.
- [tex]\( i \)[/tex] is the imaginary unit, where [tex]\( i^2 = -1 \)[/tex].
Now, let's consider the number 94. This is a real number, which means it doesn't have an imaginary part. To write it in the form [tex]\( a + bi \)[/tex], we need to identify:
1. The real part ([tex]\( a \)[/tex]) of 94, which is simply 94 itself.
2. The imaginary part ([tex]\( b \times i \)[/tex]). Since 94 has no imaginary component, the coefficient [tex]\( b \)[/tex] is 0.
Putting it together, the standard form of the number 94 as a complex number is:
[tex]\[ 94 + 0i \][/tex]
This shows that the real part is 94 and the imaginary part is 0, which matches what we would expect for a purely real number expressed as a complex number. So, the correct option is [tex]\( 94 + 0i \)[/tex].
- [tex]\( a \)[/tex] is the real part of the complex number.
- [tex]\( b \)[/tex] is the coefficient of the imaginary part.
- [tex]\( i \)[/tex] is the imaginary unit, where [tex]\( i^2 = -1 \)[/tex].
Now, let's consider the number 94. This is a real number, which means it doesn't have an imaginary part. To write it in the form [tex]\( a + bi \)[/tex], we need to identify:
1. The real part ([tex]\( a \)[/tex]) of 94, which is simply 94 itself.
2. The imaginary part ([tex]\( b \times i \)[/tex]). Since 94 has no imaginary component, the coefficient [tex]\( b \)[/tex] is 0.
Putting it together, the standard form of the number 94 as a complex number is:
[tex]\[ 94 + 0i \][/tex]
This shows that the real part is 94 and the imaginary part is 0, which matches what we would expect for a purely real number expressed as a complex number. So, the correct option is [tex]\( 94 + 0i \)[/tex].
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