Vidnimannya. General information about the identification of natural numbers

We will talk about dyu, how to be called vidnimannyam... A handful of ladies' information about virahuvannya, for whom, are primed on the smart news, dodamo sense finding natural numbers... Dal is introduced by terminology and meaning. For example, there are a number of buildings that can be seen for help.

Navigation on the side.

Vidnimannya - the hall of the pro-tsyu performance.

Vіdnіmannya - tse dіya, zvorotne davannyu (marvel at the razdіl davannya - the main message about tsyu dіyu). If the fold is tied with two sets of two in one, then the appearance is tied with the roses of the given set into two bezles.

Dodamo specifics.

Come on, we have a deyaky helpless object. At least one or a few objects from a multitude of objects is tidied up to the side. When tsom, you can say that mi saw abo saw a sprinkle of objects from the ear of a given set. Tobto, sense of virahuvannya polyag at the victim of a childless object from a given set of objects.

Sensation of natural numbers.

We see that there is a sense of folding natural numbers, how many things are stored, we see in the discarded information about the number of objects. And what sense is there of two natural numbers?

Two natural numbers can be viewed from two equal positions. With a wide sense of the appearance of two natural numbers, it will be found that a sense of a number is found.

Also, the result of displaying two natural numbers will be added

for a number of objects, as to get lost, if from this pointlessly, give a number of objects,
For a number of items, if you need to get it from this pointlessly, then the number of items has become unnecessary.

Guided butt for the first vipad. Come here є 7 apples. Allowing us to see the apple, we will miss out on the apples because of that, as I see it to someone, for example, 2 apples. In total, there are 7 apples, there are 2 apples.

We will illustrate another vipadok. Come on we have 7 apples. For the help of virahuvannya, we can know, we need to see some apples, we have, for example, 3 apples. In general, the difference is 7-3, if we are shukan, there are a number of apples, as it is required for a date.

In the perceived sense of seeing natural numbers, it can be less than that, if the number, which is seen, is larger or more expensive than the number, which is seen (we cannot see more apples), when you are young. We will be suvoro dotrimuvatisya ts'go interchange with the given vivchennі vіdnіmannya natural numbers.

Zrozumіlo, as the result of virahuvannya two natural numbers є a natural number abo zero (nagadaєmo, where zero means the presence of something). Moreover, zero is entered only todi, if it is a natural number, from which one can see the right number, which is seen (if all objects are seen, as we have є, then we will not lose the desired object).

Zmenshuvane, vid'єmnik, riznytsya, minus sign "-".

Let us use terminology and meaning.

For a signified publication on the sheets, we will be victoristovuvati minus sign mind "-". We will write down a natural number from the list, from which it is visible, writing - the minus sign, then - a natural number, as well. For example, the record 9-5 (sub-records are named) means that from 9 it appears 5.

Now the necessary terms are being introduced. zmenshuvane- the whole number, which is displayed. vid'єmnik- the whole number, as seen from the change. profit- tse number, yake є result of virahuvannya.

We will also nazyvaty numerical virazi, folding from the change and from the view of the sign of the minus among them. For example, in the difference 3-1, the natural number 3 changes, and the number 1 is displayed.

phrases " know the difference», « calculate the value», « take from natural number 36 number 3"And so on, we will think so: you need a number, like є the result of a given natural numbers.

We will discuss one more moment, to be sure to write down the change, the viewer and the result of the view from the viewer of rationality. Supposedly, we thought that the natural number 11 is the result of the number 24 being violated from the number 35. So the result will be recorded at the level of 35-24 = 11 (the sign of parity was said in the distribution of natural numbers). The entire record can be read in one of these ways: "from 35 to 24 doors 11" or "from 35 to 24 doors 11".

Otzhe, schematically showing two natural numbers of the viewer by the next rank:
zmenshuvane - vid'amnik = development.

The main staff, like going for help.

In the first place, it is possible to allow the creation of a knot, tied with a few pieces of objects until the end of the process for two without.

The butt of a zavdannya on the knowledge of a number of objects, as it is lost to the letter of a deyak of a number of cobs, we also looked at it, if they talked about the sense of the appearance of natural numbers.

For those of you who are of this type, you need to know how many items you need to buy from the given lack of things, because you need a lot of items.

Probably the butt of such a zavdannya. Come here є 8 apples. We need a few apples, why have we got 6 apples? Shukan number of road differences of natural numbers 8 and 6.

In a different way, it is possible to see the zavdannya vyrishuvati, tied with the zi meaning of any vimiryuvan (dozhini, square, obsyagu, shvidkost, masi, hour, etc.).

Guided butt. A piece of cloth with an area of 9 square meters cut a piece of cloth with an area of 5 square meters. The finding of natural numbers 9 and 5 is shown, with the cloth overflowing. The axis is more than one butt. Infected, the temperature became 15 degrees Celsius, and the next year it became 21 degrees. As soon as the number 21 is 15, then the temperature has changed by degrees of degrees over the past hour.

Thirdly, it allows you to know the difference between small objects in two sets, as well as the difference between two different sizes, be it size (masi, chas, obsyagu, etc.).

For example, the first motorcycle rider has traveled 100 kilometers, and the other - 80. If from the number 100 the number is 80, then, because of the number of kilometers, the way of motorcycle riders is going. The same butt. At the first rates, 3,500 ribs were launched, and at the other - 7,500 ribs. If you have posted an announcement from the number 7,500 to the number 3,500, there will be a few neglected ribs in your bets.

List of literature.

Maths. Be-like handcuffs for 1, 2, 3, 4 classes in the background installation.
Maths. Be-like handcuffs for 5 classes in the background.

The word "growth" can be used in bagatyokh meanings. It can mean and the difference of something, for example, thoughts, glances, interests. Among the people of science, medicine and professional spheres, the term means different indicators, for example, the level of zukru in blood, atmospheric grip, weather minds. Understand the "development", as a mathematical term also isnu.

In contact with

Classmates

Arithmetic diy with numbers

Basic arithmetic in mathematics є:

folding;
vidnimannya;
multiple;
podil.

The skin result is tsikh diy so I will name my own:

sum - the result, otrimanija when added numbers;
rise - the result, rejection of numbers;
tvir - the result of multiple numbers;
privately - the result of the date.

More simply, my explanations of the understanding of the sumi, iznitsi, additions and parts in mathematics, you can simply write them down as words:

suma - dodati;
profit - to come;
tvir - multiply;
privately - share.

visually visible Also, the difference between numbers in mathematics can be understood by the reader of the decalcom in the following ways:

І all prices є vіrnim.

Yak know the difference in values

As a basis, this is the meaning of the difference, as the school program is promoted to us:

Riznitsa is called the result of one number from the first. The first of the number of numbers, from which one is seen, is called a change, and the other, who is seen from the first, is called a seemnik.

Once again, having gone to school programs, we know the rule, how to know the difference:

To know the difference, you need to see the change in the mind.

Everything was sound. Altogether, at the same time, we have neglected more than a few mathematical terms. Does the stink mean?

Zmenshuvane is a mathematical number, as it appears and changes (grows less).
Vid'єmnik is a mathematical number, as it is seen from a change.

Now there is a sense of growth, so the difference is made up of two numbers, for the purpose of calculating the guilt of butti. And how you know it can be fast with the following values:

You should know zmenshuvane, you need to see it and give it to me.
How to know the іd'єmnik, it is necessary to see the change.

Mathematical ideas with the difference of numbers

Spiraling on the rules, you can see them on the spot. Mathematics, tsikava science. We are here to see if there are simple numbers. Having come across all sorts of things, you will see more and more folding meanings, tri-meanings, chotiri-meanings, numbers, shots, in steps, roots, іnshі.

just put it on

Application 1. Know the difference between two values.

20 - zmenshuvan meaning,

15 - vid'amnik.

Solution: 20 - 15 = 5

Type: 5 - difference in values.

Butt 2. Know the zmenshuvane.

48 - growth,

32 - view of the meaning.

Solution: 32 + 48 = 80

Application 3. Know the value of the vid'єmnik.

7 - growth,

17 - the value changes.

Solution: 17 - 7 = 10

View: Viewer of value 10.

Big folding butt

On the butts, 1-3 are displayed with simple numbers. Alle in mathematics, the difference is not only two, but also decimal numbers, but also all, shot, rational, erratic, in.

Application 4. Know the value of three.

Given a number of values: 56, 12, 4.

56 - zmenshuvan meaning,

12 and 4 - value is displayed.

The decision can be made in two ways.

1 way (the last value appears):

1) 56 - 12 = 44 (here 44 - the difference between the two first values appeared, as in another day there will be a change);

2 ways (from the change of sum, two are seen, which in this way are called warehouse):

1) 12 + 4 = 16 (de 16 - sum of two dodankiv, yak in the offensive will be seen by a dumnik);

2) 56 - 16 = 40.

View: 40 - the difference is three values.

Application 5. Know the difference of rational fractional numbers.

Fractions with the same denominators are given, de

4/5 - decrease in drib,

3/5 - see.

Schob viconati rіshennya, it is necessary to repeat dії with fractions. Tobto, the need for nobility yak vіdnіmati fractions with the same denominator. Yak be led with fractions, so they can see the banners. Oh, you need to bring it to the spilny banner.

Solution: 4/5 - 3/5 = (4 - 3) / 5 = 1/5

View: 1/5.

Appendix 6. Marks with a difference in numbers.

And what about a viconati butt, if it is necessary to give it or to spend it?

I know before the rules:

The number is equal to the value, multiplied by two.
The tripled number is the same value, multiplied by three.
The bottom line is the price difference, multiplied by two.
Gone is the price of values, multiplied by three.

7 - the value changes,

5 - the value is displayed.

2) 2 * 3 = 6. Speech: 6 - difference between numbers 7 and 5.

Application 7. Know the difference between 7 and 18.

7 - the value changes;

18 - see.

Nachebto everything is zerous. Stop! Wid'єmnik more than a change?

And I know є how to get stuck for a particular type of drop the rule:

Yakshcho see'єmnik is greater than the change, the risk of appearing negative.

Answer: - 11. The negative value and difference of two values, for the reason, the value will change more.

Math for blondes

At the All-Union Pavutin you can find a lot of thematic sites, which will give you a view on food. Likewise, in any kind of mathematical tools, you can help you with online calculators for any kind of relish. All rozrakhunks, rocked on them, are a wonderful pidmoga for those who are thirsty, undernourished, and icy. Math for blondes is one such resource. Moreover, in vdamosya to all, right from the color of hair, stat and vik.

At a school with a mathematic value, we were numbered into a store, and then we were put on a calculator. Calculator - tse is also a useful tool. Ale, for the development of the target, for the intellect, for the horizons of those living things, you can easily carry out arithmetic works on the porch or navigate in the mind. The beauty of human tila is a great achievement of the day-to-day fitness plan. Ale mozok - tse tezh m'yaz, yaka vimagan inodi її kacati. And that means, do not admit it, fix your thoughts.

First of all, let it go on the cob to build up to primitive stocks, everything is in front of you. And it’s easy to master. Mi bachimo, scho dіy zznimy values in mathematics bezlіch. In addition, it is necessary to learn more in order to calculate and calculate the results of arithmetic operations:

sum - folded dodankiv;
tvir - to many multipliers;
privately - for a long-term share.

The axis is such a tsіkava arithmetic.

To take out means to take one number of things.

Vіdnіmannya є taka dіya, in which there is less than the number of more. With a larger number of numbers, a larger number will change to one style, but to a smaller one. Take one number from the mean change one number of people, the same thing є diyu zvorotne davannyu.

At the vidnimann, two numbers are called change and see , And shukane - profit .

A change is called a larger number, for whatever reason. Vono change as a result.

The name of a small number is called a friend, as they are seen from a large number.

Riznitsyu name a visnovok, otrimaniyu vіdnіmannya. Riznitsya viznachaє, below one number is more than one, or showing a difference between two numbers.

sign of recognition... Diya vidnimannya is signified by the sign - (minus).

Identification of single-digit numbers

To denote, it is necessary to read 6 from 9, write the number of the order, with a sign - (minus):

Rіznitsya mіzh with cimi numbers will be 3, і хід numbered vlovlyuyut verbally:

nine without six for three.

by letter:

A larger number 9 will be a change, less than 6 will be a person, and a number 3 will be too much.

ways virahuvannya

There are two ways to take one number from one:

For it is possible to see from a large number of styles one, but to take revenge in a smaller one. So, from 9 days 6 means from 9 days 6. Number 3 will be too much;

for it is possible up to a small number to add one by one to quiet times, as long as a larger number is not accepted. So, from 6 to 9, from 6 to 6 before 3 odnits. The number is odinits, as it is necessary to add up to the minimum number, for the growth of the great, viznachaє growth. The smaller the number in the rise, the larger the number, the smaller the number and the difference are the warehouses, and the larger the sum. On tsomu zasnovo іnshe value virahuvannya:

Vіdnіmannya є taka dіya, in which, according to the sum of money and one end of the day, we see the end of the day.

In the whole vipad suma was given є zmenshuvane, given dodanok - vid'єmnik, andand I gain- іnshe dodanok.

Finding out the number of significant numbers

The identification of large-valued numbers is based on the power of the numbers, behind the yak take the number all-one, see all the part... It can be seen from the power of power, how to see something like a certain number is all one, how to see lastly all of this one, dozens, hundreds and so on.

and there are just one from one, dozens from dozens, etc.

In order to be able to see it, write less than the number of great ones, so that only one of the same orders were in the same vertical position, to draw the line, to put the sign of recognition - and to write the difference.

Hіd numbered verbally:

Pochinamo vіdnіmannya s simple odnits: 8 without 7 becoming 1; sign on by one 1.

dozens of: 2 without 1 give 1, written in tens of 1.

vіdnіmaєmo hundreds... Five cannot be seen from 2, so it borrows from the offensive order (thousand) one unit, which is meaningful, but a speck is placed over 7. A unit of the skin order revenge 10 units of the offensive minor order. Pryadnyuchi tsi 10 odinits to 2, otrimaєmo 12; 12 without 5 warehouse 7, written in hundreds of 7. If you borrow an odd one from a well-groomed order, it means that you should put a speck over the order, from someone you borrow.

Vіdnіmaєmo thous. Thousands surplus substitute 7 tilki 6, more than one bullet was taken. 6 without 3 store 3; written in thousands 3.

Hid the calculation in writing:

butt... Z 17004 go 6025.

З 4 it is not possible to see 5. Borrowing with one unit from dozens, offensive in the order of advance, but in the whole order, one is not; borrowed from hundreds, - and a hundred is not; borrowed from thousands and is denoted by a dot over the number 7.

The unit of the fourth order is 10 units of the third order. Having taken from them one for dozens, I left them in hundreds of only 9. Having brought 10 to 4, maєmo 14.

Viroblyayuchi vіdnіmannya, otrimaєmo:

for one 14 - 5 = 9

for tens 9 - 2 = 7

for hundreds of 9 - 0 = 9

for thousand 6 - 6 = 0

For tens of thousands of maєmo 1, the figure of the change is transferred to the retail without a change.

Hid calculation to be written in writing:

From the front butts vivodimo rules for issuing:

In order to increase the number of numbers, it would be necessary to read the signature on the basis of the change, but only the same order stood in the same vertical line, to draw a line between the letters and signs.

It is necessary to repair from simple ones, to be from the first stockpile, and then, until the onset of the stoppages from the right hand to the left, there are dozens of dozens, hundreds of hundreds, etc.

If the figure of the vid'єmnik is less than the figure of the change, the difference is written in the same way; if the figures are ready, the difference will be zero. Whenever the figure of a given figure is larger than the figure of a change, it borrows one from such an order of change, by the way, the point placed above the figure, from which one borrows, I add 10 additional figures to a change. The figure z vvazhayut one less.

Whenever the figure is changed, from which it is borrowed, if it is 0, for which it is followed by the same zero, then it is borrowed from the first significant figure, put above it and all leading zeros of the point. The number with a dot is one less than one, and a zero with a dot is vvazhayut for 9.

Continue to continue until quiet feast, as long as you don’t have any more sales.

Transfer the figures of the change into retail.

Degree of availability of danimi and shukanimi virahuvannya

Z butt 9 - 6 = 3 can be seen, scho

Zmenshuvane alone is seen, folded in a store: 9 = 6 + 3.

Vid'єmnik one change without a difference: 6 = 9 - 3.

Rіznitsya dorіvnyu changed without a vid'єmnik: 3 = 9 - 6.

arithmetic addition... Riznitsa between the number and the closest one to be called arithmetic additions... So, the arithmetic additions of the numbers 7, 79, 983 will be numbers:

10 - 7 = 3
100 - 79 = 21
1000 - 983 = 17

Arithmetic additions are sometimes used for calculating arithmetic calculations.