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Thought-Process to Discover Knowledge

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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.

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### Handling Direction in Integers

This page explains handing positive and negative numbers, specifically the meaning of negative of a positive number, and negative of a negative number.

click on the content to continue..

To explain the concepts the following mapping is used.

text(received:)3 = +3 = 3
text(given:)3 = -3

This models the directed numbers of various forms.
eg: temperature 3^@ above and below 0^@ is modeled as text(received:)3 =3 and text(given:)3 =-3.

The explanation in this is going to be little involved. Students can spend a little extra time thinking about the given questions and answer.

text(received:)3 = text(aligned:)3 = + 3 = 3

text(given:)3 = text(opposed:)3 = -3

Let us consider

text(received:)(-3). We know that -3 is text(given:)3 and so the expression is simplified.

text(received:)(-3) = text(given:)3 = -3

Let us consider

text(given:)(-3). We know that -3 is text(given:)3 and so the expression is simplified.

text(given:)(-3) = text(given:)(text(given:)3) = text(received:)3

To understand the two numbers, text(received:)(-3) and text(given:)(-3), let us consider an example application.

A girl has a box of candies. The number of candies in the box is not counted. But, she maintains a daily account of how many are received or given.

She gave 3 candies today. The number of candies received today is -3.

Her brother took 3 candies and so, she noted received or put-in -3 candies today. This is represented astext(received:)(-3) = -3

Her brother returned 3 candies which was given earlier and so, she noted given or taken away negative 3 of an earlier date. Effectively this is text(given:)(-3) = text(received:)3 = +3

received 3
text(received:)3 = 3

given 3
text(given:)3 = -3

received -3 is put-in given 3
text(received:)(-3) = +(-3) = -3

given -3 is taken-away given 3
text(given:)(-3) = -(-3) = 3

Solved Exercise Problem:

What is -(+7)?

• +7
• -7
• -7

The answer is '-7'.

Solved Exercise Problem:

What is -(-7)?

• +7
• +7
• -7

The answer is '7'.

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