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Download "Изучаем математику с нуля / Урок № 19 / Целые числа"

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математика
математика с нуля
математика с 0
математика с нуля 5 класс
математика с нуля 4 класс
математика с нуля 3 класс
уроки по математике
уроки математика
школа
образование
Натуральные числа
множество целых чисел
числа
арифметика
алгебра
целые_числа
натуральные_числа
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  • ruRussian
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00:00:00
[music]
00:00:42
welcome you to my channel we
00:00:45
continue to study mathematics the topic of
00:00:48
today's lesson is integers in this
00:00:52
lesson we will continue to talk about numbers you and I
00:00:55
already know what numbers are called
00:00:58
natural numbers natural numbers are the numbers
00:01:01
that we use for counting for example
00:01:05
one two three four five six and so
00:01:11
on, the set of natural numbers
00:01:13
is written like this: if you
00:01:17
add negative numbers and 0 to the natural numbers,
00:01:21
you get integers. Now let's
00:01:25
write down the definition of integers. Integers
00:01:28
are an extended set of
00:01:32
natural numbers, obtained by adding
00:01:35
0 and negative numbers to it. The set of
00:01:39
integers is denoted by the capital letter z and the
00:01:45
set of integers is written like this: infinitely the
00:01:49
largest integer does not exist and the
00:01:51
smallest number does not
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exist, but we can call
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the largest negative number this is -1, we
00:02:02
can also call
00:02:04
the smallest positive number this is
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one let's write down several numbers
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and answer the question
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whether these numbers belong to the set
00:02:15
integers minus 15 minus 100 40 21 542
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pause the video and try to
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answer this question yourself as we can
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see all these numbers are integers,
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which means they all belong to the
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set of integers
00:02:42
you are probably asking the question which numbers do
00:02:46
not belong to the set of integers
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integers do not belong,
00:02:52
for example, these numbers are
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one whole six tenths 1 2 and the root of
00:03:00
2
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all these numbers do not belong to the set of
00:03:04
integers these numbers are not integers
00:03:09
and we will talk about these numbers in
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subsequent lessons the
00:03:15
set of integers consists of 3
00:03:18
parts the first of the set
00:03:21
positive integers are
00:03:23
written like this z and on top plus,
00:03:29
as we see, this is the same set of
00:03:31
natural numbers, just marked with a
00:03:34
different letter,
00:03:36
so we can write it like this, the second of the
00:03:40
set of negative integers
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is written like this,
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z only with a minus
00:03:50
and the third we still have 0 now
00:03:56
we denote all this using Euler circles,
00:03:59
as we see from the figure, the set of
00:04:02
integers consists of 3 parts, the
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set of positive integers, the
00:04:09
set of negative integers and 0,
00:04:13
we also see that the set of integers
00:04:16
is above the set of
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natural numbers, and the set of
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natural numbers is a subset of the
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set of integers numbers since all
00:04:29
the elements that belong to the set of
00:04:32
natural numbers also belong to the
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set of integers
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now let's denote the integers on the
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number line
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this lesson is over thank you all for
00:04:46
watching don't forget to subscribe to the
00:04:49
channel bye everyone [
00:04:51
music]
00:05:08
[music]
00:05:17
[music]

Description:

Целые числа - это расширение множества натуральных чисел, которое достигается добавлением к ним нуля и отрицательных чисел. Поддержка канала: ✔ Станьте спонсором канала https://www.youtube.com/channel/UC7jP2iV4NXXFtx2lab2ToQg/join ✔ https://new.donatepay.ru/@BeginStudy

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