Which equation illustrates the identity property of multiplication? a(+bi)*c=(ac+bci), a(+bi)*0=0, a(+bi)*(c+di)=(c+di)*(a+bi), a(+bi)*1=(a+bi)

Celia Ray

Celia Ray

Answered question

2022-11-30

Which equation illustrates the identity property of multiplication?
( a + bi ) × c = ( ac + bci )
( a + bi ) × 0 = 0
( a + bi ) × ( c + di ) = ( c + di ) × ( a + bi )
( a + bi ) × 1 = ( a + bi )

Answer & Explanation

discocompactonab

discocompactonab

Beginner2022-12-01Added 10 answers

The correct option is D
We know that the identity property of multiplication states that when a number is multiplied by the product is the number itself.
i.e.,
In option ,
Therefore, the identity property of multiplication is represented by
lamesa1Vy

lamesa1Vy

Beginner2022-12-02Added 1 answers

Explanation for incorrect answer.
For option (A): ( a + bi ) × c = ( ac + bci )
As, A × 1 = A
Thus, it is not of the form A × 1 = A [ The identity property of multiplication ]
For option (B): ( a + bi ) × 0 = 0
As, ( a + bi ) 0 and 1 0
Thus, it is not of the form A × 1 = A [ The identity property of multiplication ]
For option (C): ( a + bi ) × ( c + di ) = ( c + di ) × ( a + bi )
As, ( a + bi ) 1 and ( c + di ) 1
Thus, it is not of the form A × 1 = A [ The identity property of multiplication ]

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