Integers (2-1)

Integers

Vocabulary:

Opposite - Additive Inverse - Opposite and Additive Inverse mean the same thing.They are the same
                                                distance from 0 on a number line as the original number, but on the
                                                other side of 0. NOTE: Zero is its own opposite.
 Integers - The set of whole numbers and their opposites.
Absolute Value - The positive or negative integers distance from zero on the number line.
                             (Think spaces from 0). The absolute value is always positive or zero.

Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed!

So, integers can be negative {-1, -2,-3, -4, -5, ... }, positive {1, 2, 3, 4, 5, ... }, or zero {0}
We can put that all together like this:

Integers = { ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }

Name	Numbers	Examples
Whole Numbers	{ 0, 1, 2, 3, 4, 5, ... }	0, 27, 398, 2345
Counting Numbers	{ 1, 2, 3, 4, 5, ... }	1, 18, 27, 2061
Integers	{ ... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }	-15, 0, 27, 1102

But nobody disagrees on the definition of an integer, so when in doubt say "integer", and if you only want positive integers, say "positive integers". It is not only accurate, it makes you sound intelligent. Like this (note: zero is not positive or negative):

• Integers = { ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }
• Negative Integers = { ..., -5, -4, -3, -2, -1 }
  
• Positive Integers = { 1, 2, 3, 4, 5, ... }
  
• Non-Negative Integers = { 0, 1, 2, 3, 4, 5, ... } (includes zero, see?)

http://www.mathsisfun.com/whole-numbers.html

VIDEO HELP: 

 https://www.youtube.com/watch?v=x0E4vxLydNY

 https://www.youtube.com/watch?v=sGVF-KfQMfA