Complex numbers have an additive identity 0.

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What does "identical" mean?

- exactly alike; same in every detail
- exactly alike; same in every detail
- different; mismatched

The answer is "exactly alike; same in every detail"

Consider the complex number `0+i0`. What will be the result of adding that with a complex number `z_1`?

- `0+i0`
- `z_1`
- `z_1`

The answer is '`z_1`'. The sum is identical to the complex number being added.

What is an additive identity?

- an element, when added, will result in sum identical to the addend.
- an element, when added, will result in sum identical to the addend.
- the phrase "additive identity" does not have any meaning.

The answer is 'an element, when added, will result in sum identical to the addend.'.

• `0 = 0+i0` is additive identity.

** Additive Identity in complex numbers: **For any complex number `z_1 in CC`, there exists `0 = 0+i0, 0 in CC` such that

`z_1 + 0 = z_1`

*Solved Exercise Problem: *

Consider `z_1 = e+ pi i `. What will be the sum `z_1 + 0`?

- `z_1`
- `e+pi i`
- both the above
- both the above

The answer is 'Both the above'

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