Question

Performing Operations with Complex Numbers Instruction Active Adding Imaginary Numbers The property allows 3i+2i to be writte DOT associative commutative distributive identity

Answer 1

Adding imaginary numbers like 3i + 2i utilizes the commutative property, allowing like terms to be combined into 5i by adding the coefficients of the imaginary parts.

Step-by-step explanation:

The addition of complex numbers, such as 3i + 2i, is governed by the commutative property. This property states that terms can be added in any order, and you will get the same result. So, when adding imaginary numbers, you can simply add their coefficients.

For example, according to the commutative property: A + B = B + A. Applying this to imaginary numbers, we combine the like terms by adding their imaginary parts. Thus, 3i + 2i equals 5i.

Remember, when dealing with the multiplication of numbers, the rules regarding the signs are also important. Multiplying two positive numbers or two negative numbers will result in a positive number, while multiplying numbers with opposite signs will give a negative result.