Classify the number 12-5i
.
imaginary number
real number
complex number

The number \( 12 - 5i \) is classified as a **complex number**.

Explanation:
- A **complex number** is a number that has both a real part and an imaginary part. In this case, \( 12 \) is the real part, and \( -5i \) is the imaginary part.
- A **real number** would only have a real part (no imaginary part), such as \( 12 \).
- An **imaginary number** would only involve the imaginary unit \( i \), such as \( -5i \).

Would you like a further breakdown or more details?

Here are 5 related questions:
1. What is the modulus of the complex number \( 12 - 5i \)?
2. How do you represent complex numbers in polar form?
3. What is the argument of the complex number \( 12 - 5i \)?
4. Can you add or subtract two complex numbers? How?
5. What is the square of the imaginary unit \( i \)?

**Tip:** Complex numbers can be visualized on a complex plane where the real part is along the x-axis and the imaginary part along the y-axis.

Classify the number 12 - 5i: imaginary number, real number, or complex number?

Learn how to classify the number 12 - 5i. This detailed solution explains that it is a complex number with a real part (12) and an imaginary part (-5i). The problem explores the distinctions between real, imaginary, and complex numbers, ideal for students in Grades 9-12.

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