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summary of this topic

Properties of Complex Number Arithmetic

Properties of Complex Number Arithmetic

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 »  Complex Multiplicative identity is `1`.

    →  `z_1 xx 1 = z_1`

Multiplicative Identity

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  `1=1+i0` is the multiplicative identity.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex multiplication has a multiplicative identity 1.


Keep tapping on the content to continue learning.
Starting on learning "multiplicative identity". ;; In this page you will learn about the multiplicative identity one.

What does "identical" mean?

  • exactly alike; same in every detail
  • different; mismatched

The answer is "exactly alike; same in every detail"

Consider the complex number `1+i0`. What will be the result of multiplying that with a complex number `z_1`?

  • `1+i0`
  • `z_1`

The answer is '`z_1`'. The product is identical to the number being multiplied.

What is a multiplicative identity?

  • an element, when multiplied, will result in product identical to the multiplicand.
  • the phrase "multiplicative identity" does not have any meaning.

The answer is 'an element, when multiplied, will result in product identical to the multiplicand'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Multiplicative Identity in Complex Numbers: For any complex number `z_1 in CC`, there exists `1 = 1+i0, in CC` such that
`z_1 xx 1 = z_1`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Consider `z_1=sqrt(2)+sqrt(3)i` What will be the product `z_1 xx (1+i0)`?

  • `z_1`
  • `0`
  • `1`
  • `i`

The answer is '`z_1`'

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What does "identical" mean?
alike;every;detail;exactly
exactly alike; same in every detail
different;mismatched;mismatch
different; mismatched
The answer is ""
Consider the complex number 1+i0. What will be the result of multiplying that with a complex number z1?
i;0;zero
1+i0
1
z1
The answer is 'z1'. The product is identical to the number being multiplied.
What is a multiplicative identity?
element;will;result;product
an element, when multiplied, will result in product identical to the multiplicand.
phrase;identity;not;have;meaning
the phrase "multiplicative identity" does not have any meaning.
The answer is 'an element, when multiplied, will result in product identical to the multiplicand'.
1 which equals 1 + i 0 is the multiplicative identity.
Multiplicative Identity in Complex Numbers: For any complex number z1 in complex numbers, there exists 1 = 1+i0, in complex numbers such that, z1 into 1 = z1
Consider z1=square root 2 + square root 3i What will be the product z1 multiplued 1+i0?
z1;1
z1
0
0
1
1
i
i
The answer is 'z1'.

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