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Table of contents
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Table of contents

0:00
Начало видео.
0:29
Вспомним, что такое координатная прямая и координата точки.
3:53
Зачем придумали модуль и что это такое?
9:36
Каким может быть ответ у модуля?
10:49
Как записать и прочитать модуль числа?
12:43
Компоненты модуля.
14:32
Чему же равен модуль числа?
16:50
Подводим итоги.
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модуль числа 6 класс
модуль отрицательного числа
математика 6 класс модуль числа
модуль положительного числа
модуль числа на координатной прямой
модули противоположных чисел
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модуль числа примеры
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модуль числа видеоурок 6
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модуль числа определение
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подмодульное выражение
значение модуля числа
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математика6классмодульчисла
модульположительногочисла
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00:00:02
the topic of today's lesson is the modulus of a number,
00:00:06
the modulus of a number is one of the most important
00:00:09
concepts in mathematics,
00:00:11
I will try to make sure that for the rest of your
00:00:15
life you remember what the modulus of a number is and
00:00:19
learn to find the modulus of a positive
00:00:22
number, a
00:00:23
negative number and 0, we start with a
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coordinate line, this is a straight line to
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which there is a starting point, here it is, a
00:00:41
single segment, here it is everywhere, the same,
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you choose the length of this single segment
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yourself and the
00:00:51
positive direction, here is an arrow,
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an arrow,
00:00:55
please become a must, why
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because if there is no arrow, I
00:01:01
don’t understand which direction from walk you
00:01:05
write down write down positive numbers
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and in which direction from zero, write
00:01:11
negative if there is an arrow,
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it means it tells you from zero to the right,
00:01:18
writing down positive numbers means in the
00:01:22
opposite direction,
00:01:24
negative, I can put an arrow here and
00:01:27
put my good one here, then here
00:01:30
all the numbers will become positive, this
00:01:34
catches you in exams, you do not attach
00:01:37
importance to this picture and this is very
00:01:41
important, my dear, and so
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we figured it out.
00:01:46
First, we learned to mark natural numbers on a
00:01:50
straight line. We got into it.
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We learned to
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mark integer numbers, and then
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we got acquainted with such a word as the
00:02:00
coordinate of a point.
00:02:03
You agree that a straight line consists of
00:02:08
points and
00:02:09
each point has its own name, for example,
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here. and
00:02:17
here . running so called point c here is
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point d year.
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How do these points differ from each other?
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They differ in their
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location: 1 is closer to zero, the other is
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further from 0, but the
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question is, how does one differ? The
00:02:43
answer is simple, they differ from the other:
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coordinate,
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what is a coordinate, is the number to
00:02:54
which the given one corresponds. for example,
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buds a
00:03:01
corresponds to the number two and two, as you
00:03:05
know, the coordinates of point a are called and
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this is written as a two in parentheses
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next to the name of the bud, so
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we repeat what they mean and how
00:03:23
these entries a with coordinate 2 are read
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. without coordinate 4 is a point with coordinates
00:03:32
minus 1. without coordinate and -3 . cash register
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coordinates -4 well, now
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you are ready to understand the concept of the modulus of a
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number, let’s
00:03:50
begin
00:03:55
how I explain this topic to my students to
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my students, I explain it just
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like you now they
00:04:05
draw it all, they write it all down and
00:04:09
then I tell them and so we write everything in
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their notebook rules, the
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distance from zero to a point with
00:04:19
coordinate 2
00:04:21
is equal to two unit segments, so I
00:04:24
asked them. and what is the distance
00:04:28
from zero to point a in unit segments,
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but they count 1 2 well, and then who killed
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this text, it’s clear,
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now I tell them, I found point b
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with coordinate 4, what is the distance from
00:04:47
zero to point without coordinate 4?
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they say 4 unit segments, yes, but they write like
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this, the distance from zero to point b
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is equal to 4 unit segments, here is the pure
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Russian language, just somewhere this oil is
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like its numbers, we replace it with the language of mathematics
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in general, where we can shorten the entry with the
00:05:14
following sentence. prices, here it is,
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its coordinate is -1, the
00:05:22
distance from zero to the point cs,
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we count coordinates -1 in unit
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segments, equal to one unit segment,
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everything converges, the
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next point k with coordinate -4,
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we count
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1234 unit segments and fix this
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conclusion with sentences like this,
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all students write these sentences already
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literally on the third sentence oh no
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sometimes on the fourth
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but Petrov with his new one is always
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numb in class
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they and you keep you mentally they are always in
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such an
00:06:12
excited state yes
00:06:16
how long can you write it well Petrov let’s
00:06:21
stop on the fourth line from but
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actually you tell me I must write all this
00:06:28
clearly, yes, that is,
00:06:30
the students come to the conclusion about the wedding, and
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when will it end with you and her on this
00:06:38
and God Nikolai Petrov, let’s think like a
00:06:43
mathematician, because I also don’t like
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this text for mathematics less than the
00:06:49
Russian language, I agree with me, yes it
00:06:52
means mathematicians neophyte clever people they
00:06:56
came up with what they came up with you
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see the text the distance from zero
00:07:05
you see I wrote out the distance from zero for you
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the mathematicians came up with what we
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are going to write it like this
00:07:16
they put two sticks and that’s all that
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these two sticks mean they
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mean the
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distance from 0 and these two sticks are called
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the word module, that
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means the distance from 0 is 2 sticks and
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they are called the word module means
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to see where the two sticks are
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module you will see somewhere else two sticks
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module everything is clear okay stage I understand it
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means I’m not a fool distance from 0 I
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won’t write
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further the
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distance from zero to the point ska to the point a
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scardino pil 2 and this is how to write yes
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very simple
00:08:14
module 2 is
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this distance
00:08:19
from 0 and this is the point with coordinate 2
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everything is clear and
00:08:28
module 2 is read
00:08:31
further the
00:08:33
distance from zero to the point with
00:08:35
coordinate two is equal two unit
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segment, well, everything is already clear here,
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module 2 is equal to 2, we translate the text the
00:08:48
distance from zero to a point with
00:08:52
coordinate 2
00:08:54
is equal to 2, the unit segment
00:08:59
turns out to be all these big
00:09:04
sentences that
00:09:06
took up the entire board, I have this
00:09:10
something and the sea, like such a small
00:09:15
expression, so
00:09:18
module numbers
00:09:20
module of numbers is the distance from zero to
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a point the coordinates are given, I understand everything,
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now let’s think about
00:09:39
the module this distance
00:09:44
could be the distance, for example, from
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home to your school minus 700 meters and
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it arose that
00:09:54
distance is never
00:09:57
pronounced as a negative number, is not
00:09:59
written as a negative number and
00:10:01
in general this is a number positive but at
00:10:04
worst zero
00:10:06
means since it’s written everywhere here since
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you won’t be left
00:10:11
scratching the nose at the
00:10:14
module’s answer,
00:10:16
that is, after the equal sign it
00:10:19
will always be positive at worst
00:10:23
0 when you find the distance
00:10:27
from here to here everything is clear and so distance distance
00:10:31
distance distance
00:10:32
distance this means that behind the module icon there
00:10:36
will always be a
00:10:39
positive number or, at worst,
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0,
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the beginning has been made, let’s
00:10:46
continue,
00:10:52
so after we taught the language of
00:10:57
mathematics on the topic of distance from 0 to a
00:11:00
point of a given coordinate, I can do all these
00:11:03
sentences that exist and even more
00:11:07
in relation to points with these
00:11:10
coordinates, write
00:11:12
modulus 2 is equal to 2
00:11:16
modulus 4 is
00:11:19
equal to four modulus minus one is equal to
00:11:24
one
00:11:25
modulus minus 3 is equal to three and modulus minus
00:11:31
4 is equal to four, that is, this text
00:11:37
that you just saw in the
00:11:40
language of mathematics can be written just like this, the
00:11:47
distance from zero to . minus coordinates
00:11:51
-11 unit segment the
00:11:54
distance from zero to the point with
00:11:56
coordinate minus 3 is equal to three unit
00:11:59
segments, so you need to understand that it
00:12:03
should be deposited here, and you read it
00:12:06
very simply, module 2 is equal to 2, module 4
00:12:11
is equal to four, module minus one is equal to
00:12:17
one,
00:12:19
module minus 3 is equal to three module minus 4
00:12:24
is equal to four module it is masculine,
00:12:29
everything is clear
00:12:32
having become well acquainted with the new concept
00:12:34
of mathematics, we must understand the
00:12:36
components, what are modules called,
00:12:45
well, for example,
00:12:48
I write module minus 7, it is
00:12:51
clear that it will be equal to 7, so we distinguish between
00:12:56
module and module, we distinguish 1 sign of the module, it
00:13:02
is clear these are two sticks,
00:13:06
this is the coordinate in
00:13:10
this understanding, it’s called a sub-modulus
00:13:14
leg, an
00:13:18
expression for a modular expression, it
00:13:22
can be a number, it can be a
00:13:25
literal expression, it can be
00:13:27
any numeric expression, any
00:13:31
literal one, that’s what is on the sticks
00:13:34
is called a sub-modulus expression, and
00:13:37
now the third value of the module
00:13:42
the meaning of the module,
00:13:45
that is, this answer is all clear and so the
00:13:50
language of the module in front of you was
00:13:54
distinguished by the sign of the module,
00:13:57
here it is under the modular expression, what
00:14:01
is in this sign and the
00:14:04
meaning of the module is the answer of the module,
00:14:09
now I will talk to you only with
00:14:12
these words,
00:14:14
it’s clear you will learn them and you will know the
00:14:19
next question,
00:14:21
look, you figured it out,
00:14:24
you learned how to calculate the new one, so far
00:14:28
none and did it,
00:14:35
pay attention to the
00:14:37
distance from 0, maybe to the right there are
00:14:42
positive numbers,
00:14:45
pay attention when you find the
00:14:48
modulus of a positive number, here is 24, this is
00:14:53
clear, yes, your answer is the same
00:14:57
positive number
00:14:59
then there is something here, something here, something
00:15:03
here, everything is clear, we can conclude that the
00:15:07
modulus of a positive number
00:15:09
is the number itself,
00:15:12
everything is clear, but
00:15:15
. then maybe to the left of zero, and to the left of
00:15:20
zero we have negative numbers,
00:15:23
here -1 minus 3 minus 4, but the answer for a
00:15:29
module with a negative under the modular
00:15:33
expression is also positive,
00:15:37
well, it can’t be negative
00:15:39
because the modulus is the distance, also write down
00:15:43
my answer for me knowing under the modular
00:15:47
expression, let's think about
00:15:52
-1 and 1, how mathematicians are called
00:15:55
opposite numbers
00:15:59
-33
00:16:01
opposite numbers
00:16:03
-4 4
00:16:05
opposite numbers, which means the
00:16:08
rule suggests itself: the modulus of a
00:16:10
negative number is equal to its
00:16:15
opposite number, that is,
00:16:18
positive, everything is clear, everything is clear, and the
00:16:23
last one is the most complex, what is the
00:16:26
module equal to? zero, where should I write it
00:16:30
here, the modulus 0 is equal to 0, that is,
00:16:34
you find each one and the distance from 0 to 0,
00:16:38
it doesn’t exist as such and it is equal to zero,
00:16:42
you quickly remember everything clearly in the
00:16:52
modulus, they distinguish between the sign of the modulus under
00:16:55
the modular expression and the value of the modulus
00:16:59
modulus positive of a number is equal to
00:17:05
this number, the
00:17:07
modulus of a negative number is equal to
00:17:11
its
00:17:13
opposite number because the value of the
00:17:17
modulus can never be
00:17:18
negative and the modulus of zero is especially equal to
00:17:23
zero, everything is clear, well, with this,
00:17:29
we will finish the first lesson. In the next lesson, we
00:17:33
will learn how to
00:17:35
work with the modulus in examples like find
00:17:39
the value of the expression and solving the equation will
00:17:43
give the river

Description:

Математика 6 класс. Что такое модуль числа? Зачем придумали модуль? Как понять модуль и запомнить, чему он равен? Какие компоненты есть у модуля? Как записать и прочитать модуль? Чему равен модуль положительного, отрицательного числа и числа нуль? Сегодня мы ответим на эти вопросы. А чтобы урок был Вам понятен, вначале мы напомним Вам, что такое координатная прямая и координата точки. Обратим Ваше внимание на важность указания стрелки на координатной прямой. Затем Любовь Николаевна предложит Вам такое объяснение, что Вы быстро поймете и запомните, зачем придумали модуль числа, и что такое модуль? После такого объяснения Вы сами поймете, какое значение может принимать модуль числа, и почему это так. Мы покажем Вам, как записывать и читать модуль числа. Перечислим компоненты модуля: знак модуля, подмодульное выражение и значение модуля. В заключение сделаем вывод, чему равен модуль положительного, отрицательного числа и числа нуль. Подробный план урока и ссылки на предыдущие уроки Вы можете найти в описании под видео. 00:00 Начало видео. 00:29 Вспомним, что такое координатная прямая и координата точки. 03:53 Зачем придумали модуль и что это такое? 09:36 Каким может быть ответ у модуля? 10:49 Как записать и прочитать модуль числа? 12:43 Компоненты модуля. 14:32 Чему же равен модуль числа? 16:50 Подводим итоги. Все наши видео уроки по математике для 5-11 классов Вы можете найти на нашем канале на закладке "Плейлисты" https://www.youtube.com/c/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BE%D1%82%D0%91%D0%B0%D0%BA%D0%B0%D0%BD%D1%87%D0%B8%D0%BA%D0%BE%D0%B2%D0%BE%D0%B9/playlists. Если Вы впервые на нашем канале, то рекомендуем Вам посмотреть следующие видео: Математика 6 класс. Секрет успешной подготовки к экзаменам на примере темы «Сложение дробей с разными знаменателями». https://www.youtube.com/watch?v=HwDdCG9EzQE Что такое компоненты. Рассказ о Пете и Диме или зачем нужны компоненты. https://www.youtube.com/watch?v=KbueLNCXN5I Что такое определение. Отличие определения от рассказа. https://www.youtube.com/watch?v=hay_dGBeA0o Функция в математике. Определение. Пример, на котором функцию понимают ВСЕ. https://www.youtube.com/watch?v=zltOpwQAfLo Как научиться решать и оформлять задачи по геометрии (на примере свойства длины отрезка). https://www.youtube.com/watch?v=A8ntAtI5PWI Алгебра 7 класс. Чек-лист правил умножения одночлена на многочлен. Все правила умножения и сложения с примерами. https://www.youtube.com/watch?v=V3STKXUjDEE Наши контакты в других социальных сетях: https://rutube.ru/channel/23880910/ https://t.me/Matematika_ot_Bakanchikovoy https://vk.com/club211895160 Нам очень Важно Ваше мнение о наших уроках. Делитесь своим мнением в комментариях, задавайте вопросы, и мы с удовольствием ответим на них. Если урок Вам понравился, был понятен и полезен, пожалуйста, помогите нам в развитии канала, поставьте лайк и поделитесь ссылкой в соцсетях со своими друзьями, одноклассниками и конечно же учителями для обмена опытом. Успехов Вам в изучении математики и до встречи на следующем уроке!

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mobile menu iconHow can I download an audio track (music) to MP3 "Модуль числа на координатной прямой. Модуль положительных, отрицательных чисел и нуля. Компоненты."?mobile menu icon

  • The most convenient way is to use the UDL Client program, which supports converting video to MP3 format. In some cases, MP3 can also be downloaded through the UDL Helper extension.

mobile menu iconHow can I save a frame from a video "Модуль числа на координатной прямой. Модуль положительных, отрицательных чисел и нуля. Компоненты."?mobile menu icon

  • This feature is available in the UDL Helper extension. Make sure that "Show the video snapshot button" is checked in the settings. A camera icon should appear in the lower right corner of the player to the left of the "Settings" icon. When you click on it, the current frame from the video will be saved to your computer in JPEG format.

mobile menu iconWhat's the price of all this stuff?mobile menu icon

  • It costs nothing. Our services are absolutely free for all users. There are no PRO subscriptions, no restrictions on the number or maximum length of downloaded videos.