SOLUTION: !: how to find the additive inverse of each number ? exp: -4+7i how to find the absolute value of each complex number ? exp: |1 - 4i|

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Question 380075: !: how to find the additive inverse of each number ?
exp: -4+7i
how to find the absolute value of each complex number ?
exp: |1 - 4i|

Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
Additive inverses for complex numbers are just like they are for real numbers: they mean the number you'd add to get back to 0. Just like real numbers, this means that you change the signs. Thus, the additive inverse of -4+7i is 4-7i
The absolute value is the distance from zero in the complex plane, which means we basically use the distance formula: sqrt%28x%5E2%2By%5E2%29 where x is the real part and y is the imaginary part. |1 - 4i| = sqrt%28%281%29%5E2%2B%28-4%29%5E2%29 = sqrt%281%2B16%29 = sqrt%2817%29