Questions: Which properties are used to add these complex numbers? Choose all that apply. (7+2i)+(4+3i)=(7+4)+(2i+3i)=11+5i A. Commutative property B. Distributive property C. Associative property D. None of the above

Solution Steps

To add the given complex numbers, we use the associative property of addition. This property allows us to group the real parts and the imaginary parts separately before adding them.

We are given two complex numbers: \[ z_1 = 7 + 2i \] \[ z_2 = 4 + 3i \]

To add the complex numbers, we first add the real parts: \[ \text{Real part of } z_1 + \text{Real part of } z_2 = 7 + 4 = 11 \]

Next, we add the imaginary parts: \[ \text{Imaginary part of } z_1 + \text{Imaginary part of } z_2 = 2i + 3i = 5i \]

Combining the results from the previous steps, we get: \[ (7 + 2i) + (4 + 3i) = 11 + 5i \]

The properties used in this addition are:

• Associative property: This allows us to group the real parts and the imaginary parts separately before adding them.

Final Answer