Integers

  Integers are set of all whole numbers and their opposite.

For example, the highest elevation of the world is Mt.Everest with the ht of 29,035 ft above the sea level. It is denoted as +29,035 ft. Lowest elevation is Dead sea, which is 1,349ft below the sea level. It is denoted by -1,349 ft.

Definition: An integer is a number with no fractional or decimal component.

  This set is denoted by 'Z'

Representation of the set Z

  • The set representation is {...-4,-3, -2, -1, 0, 1, 2, 3, ...}.
  • The number line representation is 

Example The highest elevation of the world is Mt.Everest with the ht of 29,035 ft above the sea level. Lowest elevation is Dead sea, which is 1,349ft below the sea level. Represent the height difference using integer and find the distance between peak of the Everest and the bottom of the Dead sea.

Solution:

Mount Everest is 29,035ft above the sea level, which can be denoted as +29,035 and Dead sea is 1349 ft below the sea level, which can be represented as -1,349 ft.

The distance between them is 30,384 ft.