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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


Integers take a new name "directed-whole-numbers". That is, received an amount of 3 and given an amount of 3 are two different numbers with +3 (aligned to the chosen direction) and -3 (opposed to the direction). Learn in this

 •  What are directed numbers?

 •  How to handle direction in numbers?

 •  Sign and Absolute values of directed numbers

 •  First Principles of Comparison, addition, subtraction, multiplication, and division : directed numbers.

 •  Procedural Simplification by sign and place value

 •  Numerical Expressions with Directed Numbers - Precedence order and Sequence
(click for the list of lessons in this topic)

Integer Multiplication & Division

Do you want to understand how the negative numbers are handled in multiplication and division?

In this lesson, learn the following for directed-whole-numbers.

 •  directed numbers multiplication in first principles -- repeatedly combining a quantity and measuring the combined and

 •  directed numbers division in first principles -- splitting a quantity into a number of parts and measuring one part

 •  simplified procedure : Sign Property of Multiplication

 •  simplified procedure : Sign Property of Division

(click for the list of pages in the lesson)