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summary of this topic

Properties of Complex Number Arithmetic

Properties of Complex Number Arithmetic

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 »  Complex Additive inverse of `z` is `-z`

    →  `z_1 + (-z_1) = 0`

Additive Inverse

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  For any complex number `z` there exits `-z` - additive inverse.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex numbers have additive inverse - negative of the number.


Keep tapping on the content to continue learning.
Starting on learning "Additive Inverse". ;; In this page you will learn that the additive inverse of a complex number is negative of that number.

What does 'inverse' mean?

  • same; identical; similar
  • opposite; converse

The answer is 'opposite; converse'.

Consider two complex numbers `z_1 = a+ i b` and `z_2 = -a-ib`. What will be `z_1+z_2`?

  • `0+0i`
  • `0`
  • additive identity
  • All the above

The answer is 'All the above'. `-z` is called the additive inverse for `z` as `z+(-z) = 0`.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Additive Inverse: For any complex number `z = a+ib in CC`, there exists `-z = -a - i b in CC` such that
`z + (-z) = 0`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

What is the additive inverse of `3.5+2.1i`?

  • `-3.5+2.1i`
  • `3.5-2.1i`
  • `-3.5-2.1i`
  • `0`

The answer is '`-3.5-2.1i`'

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Progress

What does 'inverse' mean?
same;identical;similar
same; identical; similar
opposite;converse
opposite; converse
The answer is 'opposite; converse'.
Consider two complex numbers z1 = a+ i b and z_2 = minus a minus i b. What will be z1+z2?
0i
0+0i
0
0
additive;identity
additive identity
all;above
All the above
The answer is 'All the above'. minus z is called the additive inverse for z, as z plus minus z equals 0
For any complex number z there exits minus z - additive inverse.
Additive Inverse: For any complex number z = a+i b in complex numbers, there exists minus z = minus a minus i b in complex numbers such that z + minus z = 0
What is the additive inverse of 3 point 5 plus 2 point 1 i?
1
minus 3 point 5 plus 2 point 1i
2
3 point 5 minus 2 point 1i
3
minus 3 point 5 minus 2 point 1i
4
The answer is ' minus 3 point 5 minus 2 point 1i'

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