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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.continue
6th-8th Foundation

Decimals

Decimals are introduced as standard form of fractions.

Fractions are part-of-whole, with different place-values specified as denominators. The Decimals are standard form of fractions with standard form for

 •  place-values : `1//10`, `1//100`, etc.

 •  position of digits : decimal point and order of digits after decimal point.

This course on decimals is revolutionary and amazingly simple.

In this, learn the following.

 •  Decimals as standard form of fractions

 •  Decimals as directed-numbers (positive and negative)

 •  Decimal arithmetics : first principles

 •  Decimal arithmetics : simplified procedures


(click for the list of lessons in this topic)

Fundamentals of Decimals

Decimals are introduced as "standard form of fractions". This introduction also provides a simple overview of expanded form of decimals and decimals in number-line.

To understand decimals and arithmetics with decimals, this foundation is very important.

(click for the list of pages in the lesson)

Conversion of Decimals

This page gives a brief overview of converting fractions into decimals, and decimals into fractions.

At the end, an overview of numbers with digits in decimal place not repeating and not ending. These numbers are called irrational numbers.

This introduction on irrational numbers is amazingly simple and revolutionary. All students should go through this once to understand irrational numbers.

(click for the list of pages in the lesson)

Decimal Arithmetics

This page explains arithmetics with decimals such as, comparison, addition, subtraction, multiplication, and division.

The arithmetic operations are first explained in first-principles for decimals.

Then simplified procedures are explained.

(click for the list of pages in the lesson)

Numerical Expressions with Decimals

Do you want to understand how the decimals are handled in numerical expressions?

In this lesson, learn the following for decimals.

 •  precedence order : PEMDAS or BODMAS

 •  sequence of operations : left to right

Most importantly, learn modified precedence order PEMA / BOMA.

(click for the list of pages in the lesson)