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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.

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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

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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

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Home

» Complex Addition is associative.

→ `z_1 + (z_2 +z_3) = (z_1+z_2)+z_3`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Order of addition can be changed - associative.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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Complex addition is associative : Order of addition can be changed.

Starting on learning "Associative Law". ;; In this page you will learn that order of addition can be change.

What does 'Associate' mean?

- to connect with; to join
- to separate

The answer is 'to connect with; to join'

When three complex numbers are added,

• Person A associates the middle complex number with first complex number and, to the result of that, he adds the third complex number `(z_1 + z_2) + z_3`

• Person B associates the middle complex number with third complex number and to that she adds the first complex number `z_1 + (z_2+z_3)`

will the two persons get different results?

- They will get different results.
- They will get identical results

The answer is 'They will get identical results'.

Is Associative property applicable to subtraction?

- when subtraction is handled as inverse of addition.
- yes. Order of subtraction can be swapped

The answer is 'when subtraction is handled as inverse of addition'. For `(z_1 - z_2) - z_3`, it will be considered as `(z_1 + (-z_2)) + (-z_3)`.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Associative Property of Complex Addition: **For Any complex number `z_1,z_2,z_3 in CC`,

`z_1+(z_2+z_3) = (z_1+z_2)+z_3`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given `z_1, z_2 in CC`, what will be the result of `z_1 + z_2 + z_1`?

- `2z_1+z_2`
- `z_1+z_2`
- `z_2`
- `z_1+2z_2`

The answer is '`2z_1+z_2`'.

*your progress details*

Progress

*About you*

Progress

What does 'Associate' mean?

connect;join

to connect with; to join

separate

to separate

The answer is 'to connect with; to join'

When three complex numbers are added,;; Person A associates the middle complex number with first complex number and, to the result of that, he adds the third complex number z1 + z2, + z3 ;; Person B associates the middle complex number with third complex number and to that she adds the first complex number z1 +, z2+z3 ; will the two persons get different results?

different

They will get different results.

identical

They will get identical results

The answer is 'They will get identical results'.

Order of addition can be changed - associative.

Associative Property of Complex Addition: For Any complex number z1,z2,z3 in complex numbers, z1+z2, +z3 = z1+, z2+z3

Is Associative property applicable to subtraction?

handled;inverse;addition

when subtraction is handled as inverse of addition.

yes;s;order

yes. Order of subtraction can be swapped

The answer is 'when subtraction is handled as inverse of addition'. For z1 minus z2, minus z3, it will be considered as z1 +, minus z2 + minus z3

Given z1, z2 in complex numbers, what will be the result of z1 + z2 + z1 ?

2 z1;2z1

2 z1 + z2

z1+z2

z1 + z2

z2

z2

2z2

z1+2 z2

The answer is ' 2z1 + z2'.