Question

Let p = 5 - 2i and q = -3/7. Write each expression in the form a + bi. Use the scratchpad to show your reasoning.

Answer 1

The complex number p is already in the form a + bi as 5 - 2i. The rational number q is -3/7, and in the form a + bi, it is -3/7 + 0i since it has no imaginary part.

Step-by-step explanation:

To express the given complex number and rational number in the form a + bi, we will address each one separately.

For p = 5 - 2i, it is already in the standard complex number form a + bi, where a is the real part and b is the imaginary part. Thus, a = 5 and b = -2.

For q = -3/7, there is no imaginary part, so it is simply the real number -3/7 with an imaginary part of 0. Therefore, the expression in the form a + bi is simply -3/7 + 0i, where a = -3/7 and b = 0.