Katal0ondedeayah
Answered

Which equation illustrates the identity property of multiplication?


a.(a + bi) × c = (ac + bci)

b.(a + bi) × 0 = 0

c.(a + bi) × (c + di) = (c + di) × (a + bi)

d.(a + bi) × 1 = (a + bi)

Verified Answer :

carlosego

For this case by definition we have:
 The identity property of multiplication states that the product of 1 and any number is that given number.
 We have then, for example:
 \((a * 1) = a\)
 Where,
 a: real number
 Applying the definition, we have that the expression that models the identity property is given by:
 \((a + bi) * 1 = (a + bi)\)
 Where,
 a: real part
 bi: imaginary part Answer:
 d.(a + bi) × 1 = (a + bi)

Equation shows  identity property of multiplication is (a + bi) × 1 = (a + bi)

The correct option is (d)

What is Identity property of multiplication?

The identity property of multiplication says that the product of 1 and any number is that number.

We know, Identity property of multiplication states that

"the product of 1 and any number is that given number".

We know that every complex number have two parts one is real and other is imaginary.

If a is real number and b is imaginary part then by definition

(a + bi) × 1 = (a + bi).

1. Uses Distributive Property of Multiplication.

2. Zero product property.

3. Commutative property of multiplication

4.  Identity property of multiplication.

Hence, equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)

Learn more identity property of multiplication here:

https://brainly.com/question/11149071

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