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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.

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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 inverse of z is -z

→  z_1 + (-z_1) = 0

plain and simple summary

nub

plain and simple summary

nub

dummy

•  For any complex number z there exits -z - additive inverse.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex numbers have additive inverse - negative of the number.

Keep tapping on the content to continue learning.
Starting on learning "Additive Inverse". ;; In this page you will learn that the additive inverse of a complex number is negative of that number.

What does 'inverse' mean?

• same; identical; similar
• opposite; converse

Consider two complex numbers z_1 = a+ i b and z_2 = -a-ib. What will be z_1+z_2?

• 0+0i
• 0
• All the above

The answer is 'All the above'. -z is called the additive inverse for z as z+(-z) = 0.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Additive Inverse: For any complex number z = a+ib in CC, there exists -z = -a - i b in CC such that
z + (-z) = 0

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

What is the additive inverse of 3.5+2.1i?

• -3.5+2.1i
• 3.5-2.1i
• -3.5-2.1i
• 0

The answer is '-3.5-2.1i'

Progress

Progress

What does 'inverse' mean?
same;identical;similar
same; identical; similar
opposite;converse
opposite; converse
Consider two complex numbers z1 = a+ i b and z_2 = minus a minus i b. What will be z1+z2?
0i
0+0i
0
0
all;above
All the above
The answer is 'All the above'. minus z is called the additive inverse for z, as z plus minus z equals 0
For any complex number z there exits minus z - additive inverse.
Additive Inverse: For any complex number z = a+i b in complex numbers, there exists minus z = minus a minus i b in complex numbers such that z + minus z = 0
What is the additive inverse of 3 point 5 plus 2 point 1 i?
1
minus 3 point 5 plus 2 point 1i
2
3 point 5 minus 2 point 1i
3
minus 3 point 5 minus 2 point 1i
4
The answer is ' minus 3 point 5 minus 2 point 1i'

we are not perfect yet...