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summary of this topic

Properties of Complex Number Arithmetic

Properties of Complex Number Arithmetic

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 »  Complex Addition is closed.

    →  `z_1 + z_2 in CC`

Addition : Closure Law

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  Sum or difference of two complex numbers is another complex number - closure property

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex addition is closed: Sum or difference of two complex numbers is another complex number.


Keep tapping on the content to continue learning.
Starting on learning "Closure Law of addition". ;; In this page, you will learn that Sum or difference of two complex numbers is another complex number.

What does 'closure' mean?closure property illustration

  • closed
  • not open
  • both the above

Answer is 'both the above'

What is the "span" mean?

  • Full extent of something; all that is included in that;
  • past tense of spin

The answer is 'Full extent of something'

What is the span of complex numbers?

  • `a+ib` with `a,b in RR`
  • real and imaginary parts taking any real number
  • both the above

The answer is 'Both the above'

The span of complex numbers or the set of complex numbers is represented as `CC`.

When any two complex numbers are added will it result in a number within the span of complex numbers?

  • Yes. It will be another complex number.
  • No. It extends the complex numbers to something beyond the set of complex numbers.

The answer is 'Yes. It will be another complex number'

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Closure Property of Addition and Subtraction: For any given complex numbers `z_1, z_2 in CC`, ` z_1 +- z_2 in CC`.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given a complex number `z` and `a`. What will be the sum `z+a`?

  • a real number
  • a complex number
  • addition between a complex number and real number is not defined

The answer is 'a complex number'

your progress details

Progress

About you

Progress

What does 'closure' mean?
closed;close
closed
not;open
not open
both;above
both the above
Answer is 'both the above'
What is the "span" mean?
full;extent;something
Full extent of something; all that is included in that;
past;tense;spin
past tense of spin
The answer is 'Full extent of something'
What is the span of complex numbers?
a;plus;i;b
a + i b with a, b in real numbers
real;imaginary
real and imaginary parts taking any real number
both;above
both the above
The answer is 'Both the above'
The span of complex numbers or the set of complex numbers is represented as C.
When any two complex numbers are added will it result in a number within the span of complex numbers?
yes;s;will;another
Yes. It will be another complex number.
no;extends;beyond
No. It extends the complex numbers to something beyond the set of complex numbers.
The answer is 'Yes. It will be another complex number'
Sum or difference of two complex numbers is another complex number - closure property
Closure Property of Addition and Subtraction: For any given complex numbers z1, z2, ; z1 plus or minus z2 is in complex numbers.
Given a complex number z and a . What will be the sum z+a ?
real
a real number
complex
a complex number
addition;between
addition between a complex number and real number is not defined
The answer is 'a complex number'

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