[SOLVED] Which equation demonstrates the multiplicative identity property?

Which equation demonstrates the multiplicative identity property?

A)(-3+5i)+0=-3+5i

B)(-3+5i)(1)=-3+5i

C)(-3+5i)(-3+5i)=-16-30i

D)(-3+5i)(3-5i)=16+30i
A)(-3+5i)+0=-3+5i

B)(-3+5i)(1)=-3+5i

C)(-3+5i)(-3+5i)=-16-30i

D)(-3+5i)(3-5i)=16+30i

Answer:

Best Answer for Which equation demonstrates the multiplicative identity property?

The equation a + b = a = b + a

Further explanation:

The equation that satisfies the condition of multiplicative identity for the complex number can be represented as,

× b = a = b × a

Here, a is the multiplicative identity and it can be observed that the multiplicative identity would be 1 where b is the complex number.

The equation that satisfies the condition of additive identity for the complex number can be represented as,

a + b = a = b + a

Here, a is the additive identity and it can be observed that the additive identity would be 0 where  is the complex number.

Consider an example (-3+5i) + 0 = -3 + 5i

It can be observed that the equation (-3+5i) + 0 = -3 + 5i satisfies the condition of the additive identity as 0 is the additive identity.

Consider an example  (-3+5i) (1) = -3 + 5i

It can be observed that the equation(-3+5i) (1) = -3 + 5i satisfies the condition of the multiplicative identity as 1 is the multiplicative identity.

Here, a is (-3+5i) by comparing the general equation a × b = a = b × a 

Therefore, the second example (-3+5i) (1) = -3 + 5i demonstrates the multiplicative identity.

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