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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
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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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