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summary of this topic

Properties of Complex Number Arithmetic

Properties of Complex Number Arithmetic

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Understanding Properties of Complex Arithmetic


 »  The properties of real number arithmetic is extended to include `i=sqrt(-1)` as a number that cannot be added or multiplied to other numbers.

Properties of Complex numbers extend on properties of Real numbers.

Understanding Properties of Complex Arithmetic

plain and simple summary

nub

plain and simple summary

nub

dummy

Complex arithmetic is the extension of Real numbers arithmetic.

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trek

simple steps to build the foundation

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Properties of complex number arithmetic is almost same as real number arithmetic as Complex number arithmetic is nothing but extension of real number arithmetic.


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Starting on learning "Properties of Complex Arithmetic". ;; Properties of complex number arithmetic is almost same as real number arithmetic as Complex number arithmetic is nothing but extension of real number arithmetic.

What is complex number system?

  • Real number system extended to include solutions to polynomials
  • Real number system added with an additional number `sqrt(-1)`
  • Model of amplitude and phase of sine waves and elements interacting with sine waves
  • All the above

The answer is 'All the above'

To understand properties of the complex numbers, the following are to be learned
 •  Properties of addition and subtraction
 •  Properties of multiplication and division
 •  Properties of exponents and roots
 •  properties like commutative, distributive, associative, etc.

Should one learn each of these afresh?

  • No, just extend the definitions and properties of real numbers as though complex number is a numerical expression.
  • Yes, `sqrt(-1)` is not a real number so it will not adhere to the definitions and properties of real numbers.

The answer is 'No, Just extend the definitions and properties of real numbers'

Complex number is a numerical expression with `sqrt(-1)` as an element. When learning rules and properties of complex number, visualize the complex number as a numerical expression of real numbers.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

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Complex Arithmetic Fundamentals: The properties of real number arithmetic is extended to include `sqrt(-1)` as a number that cannot be added or multiplied to other numbers.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

To understand complex numbers arithmetic operations and properties, which of the following number system is used?

  • Integers
  • Rational numbers
  • Real numbers
  • None of the above

The answer is 'Real numbers'

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What is complex number system?
solutions;polynomials
Real number system extended to include solutions to polynomials
additional;square;root;minus
Real number system added with an additional number square root minus 1
model;amplitude;phase
Model of amplitude and phase of sine waves and elements interacting with sine waves
all;above
All the above
The answer is 'All the above'
To understand properties of the complex numbers, the following are to be learned ;; Properties of addition and subtraction ;; Properties of multiplication and division ;; Properties of exponents and roots ;; properties like commutative, distributive, associative, et cetera ;; Should one learn each of these afresh?
no;extend
No, just extend the definitions and properties of real numbers as though complex number is a numerical expression.
yes;s;square;root
Yes, square root of minus 1 is not a real number so it will not adhere to the definitions and properties of real numbers.
The answer is 'No, Just extend the definitions and properties of real numbers'
Complex number is a numerical expression with square root minus 1 as an element. When learning rules and properties of complex number, visualize the complex number as a numerical expression of real numbers.
Complex arithmetic is the extension of Real numbers arithmetic.
Complex Arithmetic Fundamentals: The properties of real number arithmetic is extended to include square root minus 1 as a number that cannot be added or multiplied to other numbers.
To understand complex numbers arithmetic operations and properties, which of the following number system is used?
integers;integer
Integers
rational
Rational numbers
real
Real numbers
none;above
None of the above
The answer is 'Real numbers'

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