Question

What is the additive identity of the complex number 14 + 5/?

Option 1) 14 - 5i
Option 2) 0
Option 3) 1
Option 4) -14 - 5i

Answer 1

The additive identity of any number, including complex numbers, is 0. Adding 0 to the complex number 14 + 5i does not change the original number, making 0 the correct answer.

Step-by-step explanation:

The question asks for the additive identity of the complex number 14 + 5i. The additive identity is a number which, when added to any real or complex number, does not change the original number. In the context of complex numbers, the additive identity is 0.

Therefore, among the given options:

• 14 - 5i
• 0
• 1
• -14 - 5i

The correct choice is Option 2) 0. When we add 0 to the complex number 14 + 5i, the number remains unchanged, confirming that 0 is the additive identity for complex numbers, as it is for real numbers.