Integers - The Basic Building Blocks Of Mathematics
Types of numbers
Natural Numbers (N):
The first kind of numbers everybody learns, are called the counting numbers or natural numbers. These are given as: 1, 2, 3, 4, 5, 6...
So,Nike Free 5.0 V5 Blå Sort snart ikke Sko, the smallest natural number is 1 and the largest can not be found, in mathematical language it is called infinity or undefined. The symbol for the natural numbers is N and can be shown in a group as follows: N ={ 1,Christian Louboutin chaussures Maudissima 100mmvente pas cher, 2, 3,Nike Dunk Heels High Patrick stjerner, 4, 5...}
Whole Numbers (W):
If zero is included to the natural numbers then the new group is called the whole numbers. The symbol used to denote this group is W.
W = { 0,Lime Nike Dunk SB Heels, 1, 2, 3, 4, 5...}
OR W = 0 + N
As it is clear from the above group, the smallest whole number is 0 and again the largest is infinite or undefined.
Indians found "0" and it became very easy to write very large numbers, such as millions, billions and trillions.
Now, the question arises what about some values below zero. Such as, very often in winter,MBT Tariki Schnürschuhe Grau, the temperatures go below zero in many parts of the world. Some buildings have parking floors underground,Christian Louboutin chaussures Greissimo pompe 85mmvente pas cher, if ground level is zero,WoMänner'' s Mbt Laufschuhe Weiß Gelb, what number should be given to the floors under ground?
Normally height of mountains or other higher regions is calculated considering the sea surface level as zero. What about the depth which is below the sea surface level. Our bank accounts normally have some money we deposited,Nike Zoom Kobe 6 Sko Sort Rød, and if we withdraw all the money we deposited in to our account, the account balance become zero. What if we have overdraft limit, that is we borrowed from the bank.
So, there are lots of more examples in our daily life where whole numbers are not helpful. Therefore, mathematicians found another set of the numbers and name this set Integers.
What are Integers?
Integers include the whole numbers as well as more numbers were added to the group as negative numbers. Mathematicians developed the concept of the negative numbers to deal with the problems you read in above examples. The negative numbers are the additive inverse (negative of a Natural number and when added to it gives zero as answer) of the Natural numbers. For example the additive inverse of 1 is -1, so that, 1-1 = 0 or additive inverse of 2 is -2 and so on. The integers are denoted by the symbol "I" or "Z".
I =... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...
Notice that integers contain all the natural numbers as well as whole numbers. In other words all the whole numbers (including natural numbers already) are integers too. But,Nike Free Run 2 Sort Hvid Sko, are all the integers whole numbers? The answer is no, as whole numbers do not have negative numbers in them while integers do. So,Christian Louboutin Très Prive de sortie 120mmvente au rabais, it can be said that all the whole numbers are integers but all the integers are not whole numbers.
Notice another thing, "0" is neither positive nor negative and is called the neutral integer. Right side to zero are positive integers (or the natural numbers) and left side to zero are negative integers. Look, positive sign is not shown in front of any of the positive integers, so remember that any number without a sign actually has positive sign in front of it and which need not to be shown, as this is understood in math all over the world. Remember 2 is actually +2 or 3 is +3 and same for every other positive integer. As we move from left to right the numbers are getting larger and larger. For example, 1 is larger than -1 as 1 is on the right side of -1. Same way 0 is larger than -5 as it is on the right side of -5. So, integers on the right are larger than integers on the left.
That's all about integers, the next type of numbers in the Real number system are called the Rational Numbers or fractions and decimals. Before, we touch Rational Numbers I would like to explain the operations with integers and order of operations in my coming articles.相关的主题文章：
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