Showing posts with label natural numbers. Show all posts
Showing posts with label natural numbers. Show all posts


Greatest natural number

The greatest natural number is not present and can not be. Mathematicians at that rate it is said that the natural series of numbers are infinite. It is written so even in Wikipedia.

Let us understand, why takes place so. We will assume, we thought of the greatest natural number. For simplicity we will take the natural number of "Googol" is unit with one hundred zeros, ten in a hundredth degree.

Yes, yes, not surprised, the steepest searching machine of the Internet Google is named after the number of Googol! It and not surprisingly, in fact created a searching machine in distant, distant 1998 to the year two students Larry Page and Sergey Brin. You present, 12 (twelve!) years back there was not Google! How did people the Internet use?! But we were a bit distracted...

And so, we consider that the greatest natural number is a number of Googol. That us does interfere with to finish writing to this greatest number another, one hundred first, zero? We take a pen in hands, we look around on parties, that nobody saw, and we finish writing zero. Our greatest natural number increased tenfold and became yet more! Wow! We finish writing yet zero, and then yet, and yet... Through time, writing zeros already nowhere, and they (zeros) all do not end in any way. We reach the next piece of wallpapers, prepared for repair of antechamber, and we keep writing. On the middle of roll paste is closed, and the greatest natural number we so not wrote. If to buy up all ball-point pens in a booth and all wallpapers in a building shop, it how many zeros is it possible to finish writing? Will this be the greatest natural number? No, building магизинов with wallpapers very much, it is possible yet to write and write... Amusing, certainly, to spend right through life and all dad money on scribble of one number, but there are entertainments much more interesting.

Let now we will look at the problem of the greatest natural number on the other hand. If a child is able to consider only to five, then for such child pentad will be the greatest in the world number. But we know that well, that is yet very much many numbers which more pentad. Simply we know mathematics much better than child. In course of time a child will laugh at the "greatest in the world number".

There are no grounds to disbelieve mathematicians, to asserting, that the series of natural numbers are infinite and the greatest natural number can not be.

I tried to find the construction of the greatest number, but omniscient Wikipedia is quiet even on that score, and a search on the Internet is given out by different garbage. Therefore I present the own variant of the GREATEST NUMBER IN THE WORLD. It will look as endlessness in a degree endlessness, in a degree endlessness, in a degree endlessness... and so for ever and ever. Instead of mark of endlessness can put any natural number, except unit. What a greater number you will put, the steeper there will be flight to unattainable.


Here it and there is the GREATEST NUMBER IN MATHEMATICS, more precisely, his mathematical construction. If someone knows from erudites, how this is named, write in comments, with pleasure I will correct the name. Not forget to give reference to the information generator. Similar principle of search of the greatest number is much more effective than dull finishing writing of zeros.

By the way, little numbers at which small zeros grew quite have the famous enough names own. Glance on a page "Unit and twenty one zero", if want to become acquainted with them closer. Every blonde is under an obligation to know, what a millionaire differs from a multimillionaire. Otherwise as will you choose to itself a husband?


What number are the natural series of numbers begun with?

The natural series of numbers are begun with a number 0 (zero). Number 0 (zero) is the least natural number.

For the Russian blondes it was farther written following. In translating into the language of blondes: the littlest natural number - it 1 (one, unit). The littlest natural number has really two names. Probably, one from a dad, second from a mother))) I will remind that in Russian mathematics zero is not a natural number!


What natural numbers smaller five?

Among natural numbers there are five numbers which smaller 5 (five). It is numbers 0 (zero), 1 (one), 2 (two), 3 (three) and 4 (four). We will repeat for evidentness in large. Natural numbers smaller five:

0; 1; 2; 3; 4

Checking up the rightness of my reasoning is possible, overseeing in the table of natural numbers.


In an order to name a next natural number, what number is necessary to be added to the natural number?

In an order to name a next natural number, to the present natural number it is necessary to add 1 (one, unit). Every subsequent natural number anymore than previous on unit. We will consider a few mathematical examples of decision of this task.

Example 1. Let we have a natural number 3 (three). What next natural number? For the receipt of answer we will add to the number 3 (three) a number 1 (one).

3 + 1 = 4

Answer: by a natural number, following by a natural number 3 (three) there will be a number 4 (four).

Example 2. a natural number is Given 16 (sixteen). What natural number following? We add to the number 16 (three) a number 1 (one) and we will get a right answer.

16 + 1 = 17

Answer: natural number 17 (seventeen) will be following by a natural number 16 (sixteen).

Example 3. What natural number does stand after a number 18 592 (eighteen thousands five hundred ninety two) in the natural row of numbers? To the number 18 592 (eighteen thousands five hundred ninety two) we add a number 1 (one) and we get a next number from the row of natural numbers.

18 592 + 1 = 18 593

Answer: number 18 593 (eighteen thousands five hundred ninety three) costs following by a number 18 592 (eighteen thousands five hundred ninety two) in the natural row of numbers.

A general formula for being of next natural number looks so (a plus one is evened b):

a + 1 = b

where а - is the set natural number
         b - next natural number

To check up the got result for the first 120 (one hundred twenty) natural numbers it is possible on the table of natural numbers.

Natural numbers definition

Determinations of natural numbers, which over are brought in Wikipedia and mathematical literature, contain whatever, except mathematics. If we decided to divide numbers with that it was simpler to rule above them, then competent determination of natural numbers will not prevent to enter mathematically.

Natural numbers definition from Nikolay Khyzhnjak: unit and all numbers which can be got as a result of addition of units are named natural numbers.

For those, who considers that a zero belongs to the natural numbers, this determination will sound so: zero, unit and all numbers which can be got as a result of addition of units, is named natural numbers.

What did we do? We account sticks in a hand replaced units in mathematics. Now we will check in practice, as it works. We will consider a number 2 (two):

1 + 1 = 2

Number 2 is a natural number, because it can be presented as a sum of two units, that corresponds to two account sticks or two other objects "for an account in natural way" (quotation from classic determination of natural numbers).

We will take more difficult example. If broken number 7,5 to divide into other broken number 2,5, will there be a result by a natural number?

7,5 : 2,5 = 3

Yes, as a result of division of two broken numbers we got a natural number 3, as it can be got as a result of addition of three units.

1 + 1 + 1 = 3

If a number scatters on units without noise and dust, such number is natural. For example, number 2,5 (two with a half) is not natural, because except two units with a frightful crash fractional part of number of 0,5 is pushed aside:

1 + 1 + 0,5 = 2,5

Another example. Number -4 (minus four) is not natural, as at decomposition on units a sign falls off minus and lifts the whole heap of dust. Negative numbers it is impossible to get addition of positive units. By the way, in the dust of negative numbers of mathematics roamed, as hedgehogs are in fog. Instead of that to understand reasons of dustborne storm, they thought of the module of number, than yet more all tangled.

I hope, my determination will help you it is better to be oriented in such different names of such identical numbers.

Does a broken number can to be natural? - no, broken numbers do not behave to the natural numbers.


Natural numbers are determination

Determination of natural numbers from Wikipedia: natural numbers are numbers which arise up in natural way at an account. And farther already fuss went with different approaches at by determinations of natural numbers. I have the special page with the generally accepted look to the natural numbers.

I can give another determination of natural numbers: natural numbers are numbers, used for the account of objects or for pointing of sequence number of one or another object among homogeneous objects.

In order to avoid problems in the process of studies, urgently I recommend to learn that determination of natural numbers, which is given in your textbook. In case of necessity, will pronounce him, as quotation from Mathematical Scripture. Looking at natural numbers is possible in the table of natural numbers. If want though something independent to consider, I recommend to read my determination of natural numbers.

Now a bit about history of natural numbers. It appeared in mathematics in those ancient times, when all blondes were natural. As follows from determination of natural numbers, natural numbers are those numbers which it is possible to count blondes. Exactly in honour the natural blondes of mathematics named numbers "natural". If it is possible to count blondes some number - this number natural means, if to count blondes it is impossible - a number means is not natural.

Natural numbers. Mathematics for dull. Mathematics for blondes. Mathematics. Natural blonde.
Mathematics for blondes

For example. Shot the one second is not a natural number. Where did you see half-blondes? Or one and a half blondes? All broken numbers are not natural numbers. Negative numbers similarly do not behave to the natural numbers. It is possible to count negative numbers, how many blondes do not seize to every concrete mathematician, but these blondes will be not natural, and virtual. What numbers are natural? Positive integers are natural.

Now interesting question: is a zero a natural number? In the different sacred books of mathematicians there are different opinions on that score. One add a zero on the face of sacred natural numbers, other refuse to the zero in such honour. Most correct decision of this problem - read, that it is written in a textbook or straight will ask the teacher. It is necessary to acknowledge that with a question adding of zero on natural numbers little disorder is created in mathematics. And this little disorder sometimes grows into large mathematical chaos, when business comes to the zero. Division by zero - one of examples.


Table of natural numbers

Table of natural numbers from 1 (one) to 120 (one hundred twenty) is a sequence of positive integers which in mathematics it is accepted to name natural numbers. Here you can get the table of natural numbers free of charge. In a table the natural row of numbers is presented from 1 (units) to 120 (one hundred twenty).

Attention! Zero is a natural number! In Russian mathematics a zero is not a natural number.

Table of natural numbers from 1 to 120
Table of natural numbers

The sequence of natural numbers, formative the natural row of numbers is evidently presented in a table. Can this table bravely be named Periodic System of Natural Numbers from Nikolay khyzhnjak))) Why is my row of natural numbers closed on a number 120? Simply to me, as to any respecting itself cat, it was to write laziness farther. If you need the table of natural numbers of largenesses (well, there, to cover a settee) vitally, write in the comments ordering from sizes - I will execute certainly. To the first pussy-cat - free of charge)))

The table of natural numbers will help you masterly to determine the amount of different numbers in natural numbers and satisfy other mathematical needs. The table of natural numbers is worked out in the secret laboratories of extraterrestrial civilizations specially for blondes, in case of cruel interrogations inquisitors from mathematics))) are Presently examine the question of creation of table of natural numbers for a flush-off on mobile telephones (such to itself mathematical body armour).

To get the table of figure (numerals) from 1 to 20 - the table of natural numbers is here presented only, but not figure (numerals). Figure (numerals) exists only ten.

Natural figure (numerals) - numerals are Arabic, Roman et al, and natural are numbers.

Figure (numerals) 100 - one hundred is a number and this number 100 consists of three figure (numerals) is one unit 1 and two zeros 0 and 0. All together these three figure (numerals) form a number 100 - one hundred.