Question

define additive identity and multipla active identity m with examples​

Answer 1

Answer:

It is true if the number being multiplied is 1 itself. The multiplicative identity property is represented as: a ~\times~ 1 = a = 1 ~\times~ a (a is any real number) Some examples: -1 ~+~ 0 = -1 (-1 here is the number on which the operation is carried out and “0” is additive identity.

Answer 2

Answer:

Additive identity in C : let, z= a + in be any complex number and 0=0 + i0.

Then , z+0 = (a+ib) + (0+i0) = (a+0) + i (b+0) = a+ib= z

Therefore, z+0 = z

Again, 0+z= (0+i0) + (a+ib) = (0+a) + i(0+b)= a+ib =z

Hence, z+0 = z=0+z

Thus , 0+i0 is the additive identity in C.

Multiplicative identity in C :

Let , z=a+ib be any complex number and 1 = 1+i0 , then

z.1 = (a+ib)(1+i.0) = (a.1 - b.0) + i(a.0 + b.1) = a+ib= z

Again, 1.z = (1+i.0) (a+ib) = (1.a-0.b) + i(b.1+0.a) = a+ib=z

Therefore, z.1= 1.z

Thus , 1=1+i0 is the multiplicative identity in C .

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