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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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.

User Guide

Welcome to nubtrek.

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.

User Guide

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.

User Guide

nub is the simple explanation of the concept.

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

User Guide

trek is the step by step exploration of the concept.

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.

User Guide

jogger provides the complete mathematical definition of the concepts.

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.

User Guide

exercise provides practice problems to become fluent in the concepts.

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.

summary of this topic

### Properties of Complex Number Arithmetic

Voice

Voice

Home

»  Complex Additive identity is 0.

→  z_1 + 0 = z_1

plain and simple summary

nub

plain and simple summary

nub

dummy

•  0 = 0+i0 is additive identity.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex numbers have an additive identity 0.

Keep tapping on the content to continue learning.

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 0+i0. What will be the result of adding that with a complex number z_1?

• 0+i0
• z_1

The answer is 'z_1'. The sum is identical to the complex number being added.

• an element, when added, will result in sum identical to the addend.
• the phrase "additive identity" does not have any meaning.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Additive Identity in complex numbers: For any complex number z_1 in CC, there exists 0 = 0+i0, 0 in CC such that
z_1 + 0 = z_1

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Consider z_1 = e+ pi i . What will be the sum z_1 + 0?

• z_1
• e+pi i
• both the above

The answer is 'Both the above'

Progress

Progress

What does "identical" mean?
alike;every;detail;exactly
exactly alike; same in every detail
different;mismatched;mismatch
different; mismatched
Consider the complex number 0+i0. What will be the result of adding that with a complex number z1?
0
0+i0
z1;1
z1
The answer is ' z1 '. The sum is identical to the complex number being added.
an element, when added, will result in sum identical to the addend.
the phrase "additive identity" does not have any meaning.
0 = 0+i0 is additive identity.
Additive Identity in complex numbers: For any complex number z1 in complex numbers, there exists 0 = 0+i0, zero such that ;; z1 + 0 = z1
Consider z1 = e + pi i. qhat will be the sum z1 + 0?
z1;1
z1
e;pi;pie
e plus pi i
both;above
both the above
The answer is 'Both the above'

we are not perfect yet...