__maths__>__Integers__>__Introduction to Integers (directed whole numbers)__### Sign and Absolute Value of Integers

This page introduced finding sign of an integer and absolute value of an integer. The symbol to represent absolute value is also introduced.

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The two numbers `text(received:)5 = 5` and `text(given:)5 = -5` are considered. It is noted that the amount in the two quantities are equal, only the directions are different.

Considering `text(received:)5 = 5` and `text(given:)5 = -5`

The amount in the two quantities are equal.

The amount given by an integer is the *absolute value of the integer*.

eg: Absolute value of `-4` is `4`. Absolute value of `6` is `6`.

The direction of the two quantities are different.

The direction information of an integer is the *sign of the integer*.

eg: Sign of `-4` is negative or `-`ve. Sign of `6` is positive or `+`ve.

The word "absolute" means: viewed or taken without relation to other things. In numbers the direction information, positive or negative, provides the relative measure. Absolute value removes that and provides only the amount.

*familiarize with the terminology *

absolute

The word "sign" means a symbol used to denote some information. The sign of integers is the symbol used to show the direction, that is positive and negative.

*familiarize with the terminology *

sign

**Absolute Value of an Integer ** : The count or measure without the direction information is the absolute value of an integer.

**Sign of an Integer**: Integers are directed whole numbers. The directed information of integers is called sign and is either positive or negative:

eg: `21` (`21` received) has "positive" sign

eg: `-16` (`16` given) has "negative" sign

*Solved Exercise Problem: *

What is the absolute value of `-3`?

- `3`
- `3`
- `0`

The answer is "`3`"

*Solved Exercise Problem: *

What is the absolute value of `44`?

- same value `44`
- same value `44`
- `-44`

The answer is "`44`"

Addition, subtraction, multiplication, and division are represented with symbols `+`, `-`, `xx`, `-:` respectively.

In line of representing mathematical operations with symbols, the absolute value of a number is represented as follows.

absolute value of `-3`

`=|-3|`

`=3`

The expression `|-4|` is read as, absolute value of negative 4.

*Solved Exercise Problem: *

What is `|-12|`?

- whole number `12`
- whole number `12`
- `-12`

The answer is "`12`"

*Solved Exercise Problem: *

What is the sign of `-7`

- `7`
- negative
- negative

The answer is "negative"

**Absolute Value of an Integer - Simplified procedure** : Remove any negative sign in the given integer.

*Solved Exercise Problem: *

What is `|27|`?

- whole number `27`
- whole number `27`
- `-27`

The answer is "`27`"

*Solved Exercise Problem: *

What is the sign of `27`?

- positive
- positive
- negative

The answer is "positive"

*Solved Exercise Problem: *

What is `|-93|`?

- whole number `93`
- whole number `93`
- `-93`

The answer is "whole number `93`"

*Solved Exercise Problem: *

What is the sign of `-93`?

- positive
- negative
- negative

The answer is "negative"

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