A story told by a fat man is like a fraction. Essays on the statement of leo n. Tolstoy

“A person is like a fraction, the numerator of which is what a person is, and the denominator is what he thinks of himself. The more a person thinks about himself, the greater the denominator, and therefore, the smaller the fraction. ”L. N. Tolstoy

Execute verbally 2. Name the ordinary fractions in the form. decimal:: a); b); at) ; d) 3. Calculate: a) + 0, 15 b) · 0, 3 4. Express the meters in centimeters: a) m \u003d… cm b) m \u003d… cm

Let's do it orally 5. Replace the sum with the product. ... a) 2 + 2 + 2 + 2 b) + + c) a + a + a 6. Replace the product with the sum. a) 6 ∙ 2 b) ∙ 5 c) b ∙ 3

Problem 1. The turtle crawls m in 1 min. What distance it will cover in 4 min. ?

Fractions have always been considered difficult. The Germans have preserved a proverb: "GET INTO THE CRUSH" What do you think it means? Get into a difficult, difficult situation.

2 The turtle crawls m in 1 minute. 9 What distance will it cover in 4 minutes? 1 m 2 9 4 \u003d 2 9 + 2 9 4 \u003d \u003d 2 + 2 + 2 + 2 9 2 4 9 \u003d 8 9

To multiply a fraction by a natural number, you need to multiply its numerator by this number, and leave the denominator the same. a b m \u003d a m b

Find the product 1) ∙ 3; ∙ 6; ∙ 5; 2) 5 ∙; 1 ∙; 0 ∙; 3) ∙ 36; 12 ∙; 12 ∙

Question. Can't you shorten the answer first and then write it down? 7 12. 36 \u003d 7 ∙ 36 12 1 3 \u003d 21

Find the error 1. Find the work: 1. A); B); AT) . 2. Find the work: A); B); AT) .

Mathematical dictation Check yourself: 1 option 1.2 3 17 2. 2 3 3. 3 8 4. 2 53 5. 3 13 5 4 8 2 \u003d 6 17 \u003d 10 3 \u003d 3 2 \u003d 16 53 \u003d 6 13 2 option 1. \u003d 3 1 3 \u003d 1 1 2 3 4 13 2. 2 5 3. 5 3 12 4. 2 41 9 5. 3 7 2 7 \u003d 12 13 \u003d 14 5 \u003d 5 4 \u003d 18 41 \u003d 6 7 \u003d 2 4 5 \u003d 1 1 4

An essay based on the statement of Leo Tolstoy and got the best answer

Answer from Valentine Aquarius [guru]
1) The great Russian writer Leo Tolstoy said: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself." Thus, it can be said that Tolstoy derived a "formula" to denote human character.

ka with a fraction forces himself to think about what a person should be.
The larger the denominator, the smaller the fraction. We know this from mathematics. But I think the numerator and denominator should be the same. ,

Answer from Grigory Moiseenkov[active]
xs

Answer from Murat Rimbaev[newbie]
he is right

Answer from Yunzala Musaeva[newbie]
i do not know

Answer from Father Your Mother[newbie]

We know from mathematics that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can start your reasoning.
It is a very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinion of others does not always coincide with their self-esteem.
Parents taught us from childhood that it is bad to love ourselves, that a decent person should think from the beginning about others, then about himself. You have to be selfless and benefit people. Yes, all this is of course correct, but ... I believe that everyone should love and respect themselves. This is simply necessary to maintain self-esteem. But you need to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others.
There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, it certainly refers to the axial qualities of a person. It is she who largely determines the relationship with others, criticality, self-exactingness, attitudes towards success and failure. A person, of course, should have adequate self-esteem. That is, you do not need to exalt yourself above others, but you also do not need to underestimate yourself.
A person must be strong, which means confident, and to be confident, you never need to think about what others think of you.
2) A person is a fraction, whose numerator is what the person is, and the denominator is what he thinks of himself.
I completely agree with the statement of L. N. Tolstoy. The numerator of a person is his merits, skills, abilities and in general everything about that he can. The numerator is a comparison with others - the dignity of a person; the denominator is a person's assessment of himself. It is not in the power of man to increase his numerator - his dignity, but everyone can decrease his denominator - his opinion about himself, and by this decrease he will approach perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. In this way, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and merits. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged person. The main thing is not to be arrogant. Not to say that you know how to do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not to perfection, but to zero. He becomes proud, arrogant zero, does not improve himself, while those who, silently and constantly talking about themselves "This is not enough, I know little and I am poorly able" become masters of their craft. Over time, others notice this, begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, every day increasing his skill. Tolstoy is a genius person. He described the person so accurately, there are no words. I have nothing more to add to this statement.
3) The great Russian writer Lev Nikolaevich Tolstoy wrote: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself."
I realized that the numerator is what the surrounding people see in a person, that is, his upbringing. And the denominator is a person's assessment of himself. This is an amazing comparison of human

Answer from Alena anikeeva[newbie]
1) The great Russian writer Leo Tolstoy said: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself." Thus, it can be said that Tolstoy derived a "formula" for the designation of human character.
We know from mathematics that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be zero, since the whole fraction will not make sense. Also, the larger the denominator, the smaller the fraction. From here you can start your reasoning.
It is a very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinion of others does not always coincide with their self-esteem.
Parents taught us from childhood that it is bad to love ourselves, that a decent person should think from the beginning about others, then about himself. You have to be selfless and benefit people. Yes, all this is of course correct, but ... I believe that everyone should love and respect themselves. This is simply necessary to maintain self-esteem. But you need to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others.
There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, it certainly refers to the axial qualities of a person. It is she who largely determines the relationship with others, criticality, self-exactingness, attitudes towards success and failure. A person, of course, should have adequate self-esteem. That is, you do not need to exalt yourself above others, but you also do not need to underestimate yourself.
A person must be strong, which means confident, and to be confident, you never need to think about what others think of you.
2) A person is a fraction, whose numerator is what the person is, and the denominator is what he thinks of himself.
I completely agree with the statement of L. N. Tolstoy. The numerator of a person is his merits, skills, abilities and in general everything about that he can. The numerator is a comparison with others - the dignity of a person; the denominator is a person's assessment of himself. It is not in the power of man to increase his numerator - his dignity, but everyone can decrease his denominator - his opinion about himself, and by this decrease he will approach perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. In this way, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and merits. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged person. The main thing is not to be arrogant. Not to say that you know how to do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not to perfection, but to zero. He becomes proud, arrogant zero, does not improve himself, while those who, silently and constantly talking about themselves "This is not enough, I know little and I am poorly able" become masters of their craft. Over time, others notice this, begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, every day increasing his skill. Tolstoy is a genius person. He described the person so accurately, there are no words. I have nothing more to add to this statement.
3) The great Russian writer Lev Nikolaevich Tolstoy wrote: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself."
I realized that the numerator is what the surrounding people see in a person, that is, his upbringing. And the denominator is a person's assessment of himself. This is an amazing comparison of human

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The work was carried out by: Umyarova R.A., teacher of mathematics MBOU-Starokulatkinskaya secondary school №1 r.p. Staraya Kulatka of the Ulyanovsk region

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Objectives to Raise in Children positive traits; Striving for self-improvement, self-affirmation, self-education; Ability to measure abilities and capabilities

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For several years, in my work, I invite children to write an essay on the topic "Man is a fraction" according to the statement of L.N. Tolstoy Students are surprised: how? Can you write an essay on mathematics? But many guys write their thoughts so well that adults won't write like that. Moreover, I give this task to students of different ages, i.e. 5-7 grades and 11 grade. Rereading the essay, I decided to make a presentation.

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Already in the early period of creativity, Tolstoy came to the idea that a living human character is a complex combination of various, often contradictory traits and qualities. And, observing the multiplicity of such combinations, Tolstoy tried to find a "formula" for their designation. A living human character appeared to him as a fraction, in the numerator of which the writer put the merits and virtues of man (his “advantages”), and in the denominator - his shortcomings, the main of which was conceit. The larger the denominator, the smaller, naturally, the fraction, and vice versa: with a smaller denominator, the fraction expressing the real “value” of a person, his moral value, rises. A person is like a fraction: in the denominator - what he thinks of himself, in the numerator - what he really is. The larger the denominator, the smaller the fraction. (Leo Tolstoy) Success Self-esteem \u003d ------ Claims

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LN Tolstoy said: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself." I think that the more correctly and adequately you assess yourself, the closer the numerator and denominator, that is, you strive for the whole, the surrounding world, with society. Bulkhin Raphael Grade 6

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Who you imagine yourself to be in life and who you are in life does not always coincide. In most cases, the fraction is incorrect, since a person is not characterized by self-criticism and he most often overestimates his capabilities, increasing the denominator of the fraction, and the small numerator is explained by external factors and coincidence of circumstances: “Yes, I am so handsome, hardworking, but they underestimate me, there are enemies all around and ill-wishers. " The ideal indicator would be one, that is, the coincidence of the idea of \u200b\u200boneself and reality, or a fraction, equal numerator and denominator, but this is not characteristic of a person. Ismail Maryam grade 7

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Each person has his own character and his own self-esteem. Some people have high self-esteem, which is not a very good character trait. At the same time, the true face of a person is lost. According to the rules of mathematics, the larger the denominator and the difference between the numbers in the fraction of the numerator and the denominator, the smaller the final number. For example: which is greater than 2/3 or 2/7? Of course, 2/3 is more than 2/7. Returning to the statement of L. N. Tolstoy, if a person thinks of himself and the same conceit as in character, people will appreciate him. For example: a friend of mine sometimes wants to seem smarter than she really is, and then it turns out that she is a braggart. This is a bad quality of a person. You must try to think about yourself, too, what you are. You should not praise yourself in front of others, let others appreciate your character and praise you better. Safarova Aisylu 7th grade

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In the words of Tolstoy, a man is a fraction. If the numerator is greater than the denominator in this fraction, then there is a good, active, smart, kind person, but thinks to himself that he is stupid, evil, passive. This person has low self-esteem, he will oppress himself with this. If the denominator is greater than the numerator, this person will praise himself without representing anything by himself. This person has an overestimated self-esteem, and he thinks good about himself, for example, a donkey from Krylov's fable "The Donkey and the Nightingale." I would choose as a friend the person whose numerator and denominator are equal, that is, a person who represents what he thinks of himself. Ablyazova Regina grade 7

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"A person is a fraction, in which the numerator is what the person is, and the denominator is what he thinks of himself." I understand this statement as follows. For example, it happens that a person thinks of himself better than he is. It also happens that he thinks less highly of himself, but he himself is much better. They say about such people: a person with low self-esteem, although his opportunities and dignity are high. This is bad. Once a friend of mine boasted that he could easily beat any two guys in football, and when we decided to check it, it turned out that my friend overrated himself and lost. Therefore, I came to the conclusion that there are few fractions with the same numerators and denominators. Bashirov Lenar Grade 7

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The great Russian writer Leo Tolstoy said: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself." Thus, it can be said that Tolstoy derived a "formula" to denote human character. We know from mathematics that if the denominator is equal to the numerator, then there will be one. But we also know that the denominator should not be zero, since the whole fraction will not make sense. And also, the larger the denominator, the smaller the fraction. From here you can start your reasoning. It is a very rare occurrence when the "denominator" is equal to the "numerator", that is, the opinion of others does not always coincide with their self-esteem. Parents taught us from childhood that it is bad to love ourselves, that a decent person should think from the beginning about others, then about himself. You have to be selfless and benefit people. Yes, all this is of course correct, but ... I believe that everyone should love and respect themselves. This is simply necessary to maintain self-esteem. But you need to love yourself in moderation. If a person thinks only of himself, then he is an egoist. A person should love himself, but think about the feelings of others. There is such a thing as self-esteem. Self-esteem is an assessment by a person of himself, his capabilities, qualities and place among other people, it certainly refers to the axial qualities of a person. It is she who largely determines the relationship with others, criticality, self-exactingness, attitudes towards success and failure. A person, of course, should have adequate self-esteem. That is, you do not need to exalt yourself above others, but you also do not need to underestimate yourself. A person must be strong, which means confident, and to be confident, you never need to think about what others think of you. Shafieva Elmira grade 11

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“A person is a fraction, whose numerator is what the person is, and the denominator is what he thinks about himself.” Immediately after reading this aphorism, you think, where does the fraction, where does the person. But if you delve into the statement, if you think about it, then so many thoughts come to mind that it is difficult to get out of them. So, a fraction is an expanded number, the modulus of which is written in the form m / n, where m, n are natural numbers, and m is called the numerator of the fraction, and n is the denominator. The fraction can be correct - an ordinary fraction with the numerator less than the denominator. Consequently, there are people who are "little" but think "a lot" of themselves. But for some reason they are referred to as the correct fraction. This means that a person always thinks well of himself. I think Tolstoy “when he wrote this statement, he knew a lot about fractions. The fraction can also be wrong. This means that their numerator is larger than the denominator, that is, it is more than he thinks of himself. If the numerator and denominator in a fraction are equal, then it is no longer a fraction, but an integer. This means that there cannot be a person whose qualities are equal. Also, a property of the fraction: the denominator must not be zero! Thus, we come to the conclusion that there are no people who do not think about themselves, who do not have self-esteem. You can not do it this way! This shouldn't be! I think that a person himself has the right to choose which "fraction" to be "right" or "wrong". But the point is that the difference between the numerator and the denominator is not large. If the "numerator" is equal to zero, then the "fraction" will not carry any meaning. A person must represent something. And whatever he wants can think about himself, but! you cannot be conceited. Abdyukova A.R., grade 11

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In mathematics, a fraction is part of something. It consists of a numerator and a denominator. And even great people respected this mathematical expression. So Leo Tolstoy wrote: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks about himself.” The larger the denominator, the smaller the fraction. In fact, we often overestimate ourselves in front of others. But it’s true only if we take into account the opinions of others about themselves. Mathematics is an exact science, so people should strive to increase the numerator, and this will increase the fraction as a whole. Uzbekova A. Grade 6

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Billions of people live on planet Earth. I think, on the one hand, a person is one whole, without a fraction. For example, there are people who have an even, calm, balanced character. He is hardworking, fair, lives honestly. He is respected and appreciated. I think such a numerator and denominator are even. This is the whole. On the other hand, Leo Tolstoy correctly noted that: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks about himself.” Because people are never the same. Each person has his own character, which consists of a numerator and a denominator. Some people have a very high opinion of themselves, but people rate them low for their deeds and actions. Others do the opposite. Based on this, I think man is a fraction. Rakhmatullina L., grade 7

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A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself. I completely agree with the statement of Leo Tolstoy. The numerator of a person is his merits, skills, abilities and in general everything about that he can. The numerator is a comparison with others - the dignity of a person; the denominator is a person's assessment of himself. It is not in the power of man to increase his numerator - his dignity, but everyone can decrease his denominator - his opinion about himself, and by this decrease he will approach perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. In this way, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and merits. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged person. The main thing is not to be arrogant. Not to say that you know how to do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not to perfection, but to zero. He becomes proud, arrogant zero, does not improve himself, while those who, silently and constantly talking about themselves "This is not enough, I know little and I am poorly able" become masters of their craft. Over time, others notice this, begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, every day increasing his skill. Tolstoy is a genius person. He described the person so accurately, there are no words. I have nothing more to add to this statement. 11 cl. Yagudin I. 11th grade

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A lively human character is a complex combination of various, often contradictory traits and qualities. And, observing the multiplicity of such combinations, the writer Lev Nikolaevich Tolstoy is trying to find a "formula" for their designation. A living human character appeared to him as a fraction, in the numerator of which the writer put the merits and advantages of a person, and in the denominator - his shortcomings, the main of which was conceit. The larger the denominator, the smaller, naturally, the fraction, and vice versa: with a smaller denominator, the fraction that expresses the real "value" of a person, his moral value, increases. In my statement, Leo Tolstoy touched on a mathematical definition. Mathematics is an exact science. It teaches logical thinking, analysis and precise definition. After all, a person is a whole, personal, sentient being... There are so many thoughts and dreams about himself in his head that no one will ever know. In life, he will not be able to realize everything that he thinks of himself. Many years ago, the American psychologist Williams James also developed a formula according to which a person's self-esteem can be represented as a fraction, the numerator of which is his real achievements, and the denominator is his ambitions and claims. In other words, the most reliable way to increase self-esteem is, on the one hand, not to complete your aspirations, on the other, to add real tangible success. “... Best person - it's not only significant person, but also with good self-esteem. These are the people who usually succeed. Self-esteem gives confidence in himself, and what he is, further promotes this person. It's like a steam locomotive going forward. And he reaches the goal! " I believe that you always need to do so in your own and others' eyes to have a fraction equal to one. But fractions are different, which means that there are many different people in the world. Mukminova A. 11th grade

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The great Russian writer Lev Nikolaevich Tolstoy wrote: "A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself." there is his good breeding. And the denominator is a person's assessment of himself. This amazing comparison of a person with a fraction makes one think about what a person should be. The larger the denominator, the smaller the fraction. We know this from mathematics. But I think the numerator and denominator should be the same. You always need to do so that you are the same in your own and others' eyes. Recently, in a math lesson, we went through the topic "Fraction". There we studied right and wrong fractions. It can be concluded that the wrong fraction is a person for whom the opinion of others is more important than he thinks of himself, and the correct one is a person who overestimates himself. Kurmasheva Elnara, grade 7

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The great Russian writer Lev Nikolaevich Tolstoy said: “A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself”. I believe that he is right and I will try to prove it ... If a person is more than he thinks of himself, that is, underestimates (in the best sense of the word) himself, then a person is able to improve and achieve something absolutely great. Let's do the same with mathematics. In the considered case, the numerator is greater than the denominator, the fraction will be greater than one. (We will not consider fractions with a negative value, since the value must be greater than or equal to zero) If a person is less than he thinks about himself, that is, he is arrogant, then, accordingly, the value of the fraction will be less than one. Consider another case where someone is nothing in total, that is, the numerator is zero. Then, so that he does not think about himself, whoever he considers himself to be, he will still remain nothing, just like the value of a fraction, whose numerator is zero. There is another type of people who think that they have achieved nothing in this life (the exception is midlife crisis), that is, they are the zeros of the denominator of the fraction. In this case, it is impossible to divide by zero and the value of the fraction does not exist, just as there is no person as a person. From the above, we can conclude ... It is necessary that the fraction be greater than or equal to one. And a fraction is equal to one if and only if its numerator and denominator are equal, that is, when a person thinks about himself what he is. For me, it is more acceptable when the denominator of the fraction is greater than one, because it is in this case that a person is able to improve more. As Socrates said: “I only know that I know nothing” Timushev I.

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“A person is a fraction, whose numerator is what the person is, and the denominator is what he thinks about himself” I completely agree with this statement. Man is a fraction. But sometimes either the numerator is greater than the denominator, or vice versa. It happens that they are the same. Of course, each person is something of himself. Sometimes you go, look at the passers-by, and think that each of them is a separate person, individuality, and each of them does not think the same about himself. Everyone is what they have inside. In our time, many look at a person's appearance, at his connections, and not at his inner world. This is the mistake, first of all, you need to get to know the person better, not opening up at the first meeting. It is necessary to study his character, his view of some things, if possible against him in some situations. After all, it is not for nothing that they say: “Trust, but verify”. Opinion about yourself is completely different. People tend to have a good opinion of themselves. Someone's self-esteem is overestimated, someone else's vice versa. I believe that each person is what he thinks of himself. In the period of time called life, everything awaits us: joys and sorrows, difficulties and luck, love and breaks, victories and defeats ... Everyone lives his life according to his own concepts. In any situation, first of all, self-confidence, self-esteem of a person is important. Human is a fraction, and I think both the numerator and denominator should be the same. Khabibullina A. Grade 11

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We live in a society among individuals. Each of us is diverse in its own way. And whether you become a person or some kind of "Lord from San - Francis", the hero of Bunin's work, depends on you. The futurist Igor Severyanin had a high self-evaluation, he called himself a genius, although he was a simple writer, but deeply understanding the surrounding society, the indifference of some people towards others. Not every talented person, statesman, can have a high opinion of himself. They strive to get even more skills and knowledge. There are many types of fractions in mathematics, as do people around the globe. Each person chooses his own path to develop and the subsequent stay in society. Some people listen to the opinions of others, to their advice. Climbing the career ladder, do not forget old friends. In contrast to them, there is a second type of people. These are self-confident people, do not take into account the opinions of others, considering many to be secondary. Conclusion: they represent more than their own self-esteem. This fraction can be represented as an integer. That is, these people have a core, they are more friendly towards people. The second type of people is a regular fraction. They consider themselves correct, although they are not. For example, 5/11. They are more selfish creatures. They put themselves first. But in fact, in society, they are a "loner", not sociable, proud, narcissistic person. Abdryashitova Z.Z. Grade 11

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Literature http://bse.sci-lib.com/particle028237.html http://www.omg-mozg.ru/tolstoy.htm http://www.artvek.ru/kramskoy.html

In my work, when passing the topic of a fraction in grade 6, I suggest that children write an essay on the topic "A man is a fraction." Students are surprised. How? Write an essay on mathematics. At the same time I give this task to high school students. I read these mini-essays with pleasure.

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Man is a fraction

The work was carried out by: Umyarova R.A., teacher of mathematics MBOU-Starokulatkinskaya secondary school №1 r.p. Staraya Kulatka of the Ulyanovsk region

Objectives To bring up positive qualities in children; Striving for self-improvement, self-affirmation, self-education; Ability to measure abilities and capabilities

“A person is a fraction, whose numerator is what the person is, and the denominator is what he thinks of himself.” Immediately after reading this aphorism, you think, what does the fraction have to do with it, what does the person have to do with it. But if you delve into the statement, if you think about it, then so many thoughts come to mind that it is difficult to get out of them. So, a fraction is an expanded number, the modulus of which is written in the form m / n, where m, n are natural numbers, and m is called the numerator of the fraction, and n is the denominator. The fraction can be correct - an ordinary fraction with the numerator less than the denominator. Consequently, there are people who are "little" but think "a lot" of themselves. But for some reason they are referred to as the correct fraction. This means that a person always thinks well of himself. I think Tolstoy “when he wrote this statement, he knew a lot about fractions. The fraction can also be wrong. This means that their numerator is larger than the denominator, that is, it is more than he thinks of himself. If the numerator and denominator in a fraction are equal, then it is no longer a fraction, but an integer. This means that there cannot be a person whose qualities are equal. Also, a property of the fraction: the denominator must not be zero! Thus, we come to the conclusion that there are no people who do not think about themselves, who do not have self-esteem. You can not do it this way! This shouldn't be! I think that a person himself has the right to choose which "fraction" to be "right" or "wrong". But the point is that the difference between the numerator and the denominator is not large. If the "numerator" is equal to zero, then the "fraction" will not carry any meaning. A person must represent something. And whatever he wants can think about himself, but! you cannot be conceited. Abdyukova A.R., grade 11

A person is a fraction, whose numerator is what a person is, and the denominator is what he thinks of himself. I completely agree with the statement of Leo Tolstoy. The numerator of a person is his merits, skills, abilities and in general everything about that he can. The numerator is a comparison with others - the dignity of a person; the denominator is a person's assessment of himself. It is not in the power of man to increase his numerator - his dignity, but everyone can decrease his denominator - his opinion about himself, and by this decrease he will approach perfection. But complete perfection never happens anywhere, so you can only approach this until the end of your days. In this way, it is possible (and even necessary) to set an example for the younger generation, so that they also strive to improve their abilities and merits. When the denominator coincides with the numerator, then the fraction is whole, the person becomes a full-fledged person. The main thing is not to be arrogant. Not to say that you know how to do it well and that you are better than others or that you know more than others. The more you talk about yourself, the more your denominator becomes and the person approaches not to perfection, but to zero. He becomes proud, arrogant zero, does not improve himself, while those who, silently and constantly talking about themselves, "This is not enough, I know little and I am poorly able" become masters of their craft. Over time, others notice this, they begin to praise the master, recognize him as a master. And he, in turn, lives quietly - peacefully, every day increasing his skill. Tolstoy is a genius person. He described the person so accurately, there are no words. I have nothing more to add to this statement. Yagudin I. 11th grade

A lively human character is a complex combination of various, often contradictory traits and qualities. And, observing the multiplicity of such combinations, the writer Lev Nikolaevich Tolstoy is trying to find a "formula" for their designation. A living human character appeared to him as a fraction, in the numerator of which the writer put the merits and advantages of a person, and in the denominator - his shortcomings, the main of which was conceit. The larger the denominator, the smaller, naturally, the fraction, and vice versa: with a smaller denominator, the fraction that expresses the real "value" of a person, his moral value, increases. In my statement, Leo Tolstoy touched on a mathematical definition. Mathematics is an exact science. It teaches logical thinking, analysis and precise definition. After all, a person is a whole, personal, intelligent being. There are so many thoughts and dreams about himself in his head that no one will ever know. In life, he will not be able to realize everything that he thinks of himself. Many years ago, the American psychologist Williams James also developed a formula according to which a person's self-esteem can be represented as a fraction, the numerator of which is his real achievements, and the denominator is his ambitions and claims. In other words, the most reliable way to increase self-esteem is on the one hand, not to complete your aspirations, on the other, to add real tangible success. “… The best person is not only a significant person, but also with good self-esteem. These are the people who usually succeed. Self-esteem gives confidence in himself, and what he is, further promotes this person. It's like a steam locomotive going forward. And he reaches the goal! " I believe that you always need to do so that in your own and others' eyes you have a fraction equal to one. But fractions are different, which means that there are many different people in the world. Mukminova A. 11th grade

We live in a society among individuals. Each of us is diverse in its own way. And whether you become a person or some kind of "Lord from San - Francis", the hero of Bunin's work, depends on you. The futurist Igor Severyanin had a high self-esteem, he called himself a genius, although he was a simple writer, but deeply understanding the surrounding society, the indifference of some people towards others. Not every talented person, statesman, can have a high opinion of himself. They strive to get even more skills and knowledge. There are many types of fractions in mathematics, as do people around the world. Each person chooses his own path to develop and the subsequent stay in society. Some people listen to the opinions of others, to their advice. Climbing the career ladder, do not forget old friends. In contrast to them, there is a second type of people. These are self-confident people, do not take into account the opinions of others, considering many to be secondary. Conclusion: they represent more than their own self-esteem. This fraction can be represented as an integer. That is, these people have a core, they are more friendly towards people. The second type of people is a regular fraction. They consider themselves correct, although they are not. For example, 5/11. They are more selfish creatures. They put themselves first. But in fact, in society, they are a "loner", not sociable, proud, narcissistic person. Abdryashitova Z.Z. Grade 11

I agree with the statement of L.N. Tolstoy, because we are all different and therefore the numerators too, we think differently and therefore the denominators are also different. If you judge me, then I consider myself as one whole, because I am from myself the same as I think of myself. Some people overestimate my numerator, and some people vice versa. But I think people should think better of me than worse. Arslanov Lenar, grade 6

Most likely, a person is a product: The first factor \u003d the amount of what he can do. The second factor is the amount of what works. If something is equal to zero, then consider the person as not. Basically I agree with them, but how do you understand the phrase "The larger the denominator, the smaller the fraction"? What did the author want to say? I think that the higher he puts himself, overestimates his own self-esteem (denominator), the lower he really is, and that if both the numerator and the denominator are equal. This means that the person is perfect. Unfortunately, such people are hard to find. Adelshin A, grade 6.

Literature http://bse.sci-lib.com/particle028237.html http://www.omg-mozg.ru/tolstoy.htm http://www.artvek.ru/kramskoy.html