Question
Choose three numbers. Choose an integer, an imaginary number, and a non-real complex number. Next, write each of your three numbers in the form a+bi identify the real and imaginary parts.
Answers
GPT-4o mini
Let's choose the following three numbers:
1. An integer: \( 5 \)
- In the form \( a + bi \), this can be written as \( 5 + 0i \).
- Here, the real part \( a = 5 \) and the imaginary part \( b = 0 \).
2. An imaginary number: \( 3i \)
- In the form \( a + bi \), this can be written as \( 0 + 3i \).
- Here, the real part \( a = 0 \) and the imaginary part \( b = 3 \).
3. A non-real complex number: \( 2 + 4i \)
- This is already in the form \( a + bi \).
- Here, the real part \( a = 2 \) and the imaginary part \( b = 4 \).
To summarize:
1. Integer: \( 5 + 0i \) (real part = 5, imaginary part = 0)
2. Imaginary number: \( 0 + 3i \) (real part = 0, imaginary part = 3)
3. Non-real complex number: \( 2 + 4i \) (real part = 2, imaginary part = 4)
1. An integer: \( 5 \)
- In the form \( a + bi \), this can be written as \( 5 + 0i \).
- Here, the real part \( a = 5 \) and the imaginary part \( b = 0 \).
2. An imaginary number: \( 3i \)
- In the form \( a + bi \), this can be written as \( 0 + 3i \).
- Here, the real part \( a = 0 \) and the imaginary part \( b = 3 \).
3. A non-real complex number: \( 2 + 4i \)
- This is already in the form \( a + bi \).
- Here, the real part \( a = 2 \) and the imaginary part \( b = 4 \).
To summarize:
1. Integer: \( 5 + 0i \) (real part = 5, imaginary part = 0)
2. Imaginary number: \( 0 + 3i \) (real part = 0, imaginary part = 3)
3. Non-real complex number: \( 2 + 4i \) (real part = 2, imaginary part = 4)