Question

Categorize each number as real, complex, or imaginary.(4 points)

Real Complex Imaginary
−2.5i
4+2i
3–√
9−4i

Answer 1

Let's categorize each number:

1. **−2.5i**: This is an imaginary number because it can be expressed in the form of bi, where b is a non-zero real number (in this case, b = -2.5).

2. **4 + 2i**: This is a complex number because it has both a real part (4) and an imaginary part (2i).

3. **3 – √9**: The square root of 9 is 3, so this simplifies to 3 - 3 = 0. The number 0 is a real number.

4. **9 − 4i**: This is also a complex number because it has a real part (9) and an imaginary part (-4i).

Now let's summarize:

- **Real**: 0 (from 3 - √9)
- **Complex**: 4 + 2i, 9 - 4i
- **Imaginary**: −2.5i