Complex addition is associative : Order of addition can be changed.

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What does 'Associate' mean?

- to connect with; to join
- to connect with; to join
- to separate

The answer is 'to connect with; to join'

When three complex numbers are added,

• Person A associates the middle complex number with first complex number and, to the result of that, he adds the third complex number `(z_1 + z_2) + z_3`

• Person B associates the middle complex number with third complex number and to that she adds the first complex number `z_1 + (z_2+z_3)`

will the two persons get different results?

- They will get different results.
- They will get identical results
- They will get identical results

The answer is 'They will get identical results'.

• Order of addition can be changed - associative.

**Associative Property of Complex Addition: **For Any complex number `z_1,z_2,z_3 in CC`,

`z_1+(z_2+z_3) = (z_1+z_2)+z_3`

Is Associative property applicable to subtraction?

- when subtraction is handled as inverse of addition.
- when subtraction is handled as inverse of addition.
- yes. Order of subtraction can be swapped

The answer is 'when subtraction is handled as inverse of addition'. For `(z_1 - z_2) - z_3`, it will be considered as `(z_1 + (-z_2)) + (-z_3)`.

*Solved Exercise Problem: *

Given `z_1, z_2 in CC`, what will be the result of `z_1 + z_2 + z_1`?

- `2z_1+z_2`
- `2z_1+z_2`
- `z_1+z_2`
- `z_2`
- `z_1+2z_2`

The answer is '`2z_1+z_2`'.

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