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.

Which of the following is `text(received:)3`?

- `+3`
- `+3`
- `-3`

The answer is "`+3`"

Which of the following is `text(given:)3`?

- `+3`
- `-3`
- `-3`

The answer is "`-3`"

Is `text(received:)(-3)` a number?

- no such number is possible
- no such number is possible
- knowing that `-3` is `text(given:)3` ; it is `text(received:)(text(given:)3)`

The answer is "`text(received:)(text(given:)3)`".

Is `text(given:)(-3)` a number?

- no such number is possible
- no such number is possible
- knowing that `-3` is `text(given:)3` ; it is `text(given:)(text(given:)3)`

The answer is "`text(given:)(text(given:)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 received `3` candies yesterday. How many candies were received yesterday?

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

The answer is "`text(received:)3 = +3`".

Considering the box of candies and the daily account of number of candies received or given.

She gave `3` candies today. How many candies are received today?

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

The answer is "`text(given:)3 = -3`".

*Considering the box of candies and the daily account of number of candies received or given.*

Her brother took `3` candies and so, she noted received or put-in `-3` candies today. What does this number `text(received:)(-3)` mean?

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

The answer is "`text(received:)(-3) = text(given:)3 = -3`".

*Considering the box of candies and the daily account of number of candies received or given.*

Her brother returned `3` candies which was given earlier and so, she noted given or taken away `-3` of an earlier date. What does this number `text(given:)(-3)` mean?

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

The answer 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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