Mathematics, 07.07.2019 06:30, sabrinaaz

Which equation demonstrates the multiplicative identity property? +5i)+0=-3+5i +5i)(1)=-3+5i ++5i)=-16-30i +5i)(3-5i)=16+30i

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answered: cadenbukvich9923

The equation $\boxed{a + b = a = b + a}$ demonstrates the multiplicative identity.

Further explanation:

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

$a \times b = a = b \times a$

Here, is the multiplicative identity and it can be observed that the multiplicative identity would be 1 where 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, is the additive identity and it can be observed that the additive identity would be 0 where is the complex number.

Consider an example $\left( { - 3 + 5i} \right) + 0 = - 3 + 5i$ .

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

Consider an example $\left( { - 3 + 5i} \right)\left( 1 \right) = - 3 + 5i$ .

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

Here, $a{\text{ is }}\left( { - 3 + 5i} \right)$ by comparing the general equation $a \times b = a = b \times a$

Therefore, the second example $\left( { - 3 + 5i} \right)\left( 1 \right) = - 3 + 5i$ demonstrates the multiplicative identity.

Thus, in general the equation a + b = a = b + a demonstrates the multiplicative identity.

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Learn more about the function is graphed below link Learn more about the symmetry for a function link Learn more about midpoint of the segment link

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Arithmetic properties

Keywords: Multiplication, multiplicative identity, equation, additive identity, condition, conjugate, arithmetic properties, sum, operation, real numbers.

Which equation demonstrates the multiplicative identity property? +5i)+0=-3+5i +5i)(1)=-3+5i ++5

answered: hmu323

Equation B) (-3 + 5i) (1) = -3 + 5i demonstrates the multiplicative identity property

Further explanation

There are several number operations that involve multiplication:

1. commutative

$\boxed{\bold{a\times b=b\times a}}$

2. associative

$\boxed{\bold{a\times (b\times c)=(a\times b)\times c}}$

3. closed

Multiplication between integers will produce integers too

4. distributive property

* addition

$\boxed{\bold{a\times(b+c)=a\times b+a\times c}}$

* substraction

$\boxed{\bold{a\times(b-c)=a\times b-a\times c}}$

5. identity

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply :

"The product of any number and one is that number"

So The Multiplicative Identity is 1

can be stated in the formula:

$\large{\boxed{\bold{a\times 1=1\times a=a}}}$