Absolute value of integer

Absolute Value of an Integer :

The absolute value of integer is the distance of that integer from 0 irrespective of the direction (negative or positive ).
On the number line, the distance from, say, 0 to +5 is said to be 5 units. So the absolute value of 5 is 5. Also, the distance from 0 to -5 is 5 units. So, the absolute value of -5 is 5.
The absolute value of is written between the two bars. For example | 2 | like this which is read as absolute value of 2 and is equal to 2.

The absolute value of -3 = | -3 | is +3 (positive 3).

So the absolute value of an integer is always positive, but the direction may be opposite ( North, East, West or South, +ve or –ve ).

Example 1 :

State the absolute values of

1) | -82 |

Solution : | -82 | = 82

2) | 34 |

Solution : | 34 | = 34.

3) | -3 - 8 |

Solution :

|-3 -8 | = |-13|

= 13

4) |8 - 15|

Solution :

| 8 - 15 | = |-7|

= 7

5) | 13 - 5 + 10 |

Solution :

|13 - 5 + 10 |

= | 8 + 10|

= |18|

= 18

6) | -6 - 25 + 40 |

Solution :

|-6 -25 + 40|

= | -31 + 40|

= |9|

= 9

7) | -8 + 12 - 31|

Solution:

|-8 + 12 -31|

= |+ 4 -31 |

=| - 27|

= 27
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Practice

 |-20| |-2a| |30| |-5-10| |9 + 8| |-8 ÷ 2| | 5 x (-2)| |-7 x(-2)| |-12 + 19| | -12 ÷ -1|

Integers

Absolute value of Integers
Absolute Value Equation