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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Welcome to **nub****trek**.

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

**Just keep tapping** (or clicking) on the content to continue in the trail and learn. continue

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step. continue

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen. continue

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge. continue

Voice

Voice

Home

» Complex Addition is closed.

→ `z_1 + z_2 in CC`

*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.

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?

- 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'