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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.

Read in the blogs more about the unique learning experience at nubtrek.continue

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

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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 as`text(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`

Handling Sign in Integers :
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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