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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 Multiplicative identity is 1.

→  z_1 xx 1 = z_1

### Multiplicative Identity

plain and simple summary

nub

plain and simple summary

nub

dummy

•  1=1+i0 is the multiplicative identity.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex multiplication has a multiplicative identity 1.

Keep tapping on the content to continue learning.
Starting on learning "multiplicative identity". ;; In this page you will learn about the multiplicative identity one.

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

• 1+i0
• z_1

The answer is 'z_1'. The product is identical to the number being multiplied.

What is a multiplicative identity?

• an element, when multiplied, will result in product identical to the multiplicand.
• the phrase "multiplicative identity" does not have any meaning.

The answer is 'an element, when multiplied, will result in product identical to the multiplicand'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Multiplicative Identity in Complex Numbers: For any complex number z_1 in CC, there exists 1 = 1+i0, in CC such that
z_1 xx 1 = z_1

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Consider z_1=sqrt(2)+sqrt(3)i What will be the product z_1 xx (1+i0)?

• z_1
• 0
• 1
• i

The answer is 'z_1'

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 1+i0. What will be the result of multiplying that with a complex number z1?
i;0;zero
1+i0
1
z1
The answer is 'z1'. The product is identical to the number being multiplied.
What is a multiplicative identity?
element;will;result;product
an element, when multiplied, will result in product identical to the multiplicand.
phrase;identity;not;have;meaning
the phrase "multiplicative identity" does not have any meaning.
The answer is 'an element, when multiplied, will result in product identical to the multiplicand'.
1 which equals 1 + i 0 is the multiplicative identity.
Multiplicative Identity in Complex Numbers: For any complex number z1 in complex numbers, there exists 1 = 1+i0, in complex numbers such that, z1 into 1 = z1
Consider z1=square root 2 + square root 3i What will be the product z1 multiplued 1+i0?
z1;1
z1
0
0
1
1
i
i