1. how many parts does each complex number have? what are they? 2. what kind of numbers are a and b in a complex number? 3. give 4 examples of complex numbers. identify the real numbers (a and b) (not parts) in your examples. 4. in a complex number in the form a + bi, what is the real coefficient of i? 5. show and explain how you can write real numbers, such as 6, or -7.2 as complex numbers. 6. give 2 examples of real numbers written in complex form. 7. show and explain how you can write imaginary numbers, such as 23i or -0.24i as complex numbers. 8. give two examples of imaginary numbers written in complex form. 9. what is the modulus of 5 - 3i ? will give more points once answered fully and correctly

1. A complex number is expressed in the form a + bi, and it has 2 parts, the real and the imaginary parts.

2. a is the real part of a complex number, while bi is the imaginary part.

3. 1+3i, where a = 1 and b = 3.
5 - 6i, where a = 5 and b = -6.
-2 + 4i, where a = -2 and b = 4.
-1 - i, where a = -1 and b = -1.

4. In a + bi, the real coefficient of i is b.

5. 6 is basically 6 + 0i, where a = 6, b = 0. Similarly, -7.2 is the same as -7.2 + 0i, where a = -7.2 and b = 0. Real numbers are just complex numbers with b = 0.

6. 2 + 0i and 8 + 0i are real numbers (2 and 8) written in complex form.

7. 23i is the same as 0 + 23i, where a = 0 and b = 23. Similarly, -0.24i is the same as a = 0 and b = -0.24. A purely imaginary number is simply a complex number with a = 0.

8. 0 + i and 0 - 4i are examples of imaginary numbers in complex form.

9. The modulus is calculated as sqrt(a^2 + b^2), so in this case, a = 5 and b = -3, so the modulus is sqrt(25 + 9) = sqrt(34).