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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which property of addition is shown below?
If x = a + bi and y = -a - bi, x + y = 0.
Solution:
The additive inverse identity of complex numbers says that there exists a unique complex number -z for z such that z + (-z) = 0.
In the above equation, the identity used is additive inverse.
Where x = a + bi is z and y = -a - bi is (-z)
then x + y = 0.
Example: Let z = -16 + 8i.
Then -z will be - (-16 + 8i)
⇒ -z = 16 - 8i
Thus, by using the additive identity z + (-z) = 0
⇒ -16 + 8i + 16 - 8i = 0
Which property of addition is shown below?
If x = a + bi and y = -a - bi, x + y = 0.
Summary:
The property of addition that satisfies the equation is additive inverse.
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