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

Question

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