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Table of contents
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Table of contents

0:00
Вступление
0:14
Упрощение сложения (свойства сложения)
0:40
Переместительное свойство сложения
1:12
Сочетательное свойство сложения
2:07
Свойство нуля при сложении
2:27
Пример 1
3:21
Пример 2
4:29
Упрощение вычитания (свойство вычитания)
5:00
Свойство вычитания суммы из числа
5:43
Свойство вычитания числа из суммы
6:14
Свойство нуля при вычитании
6:37
Д / З
Video tags
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Video tags

математика
математика с нуля
алгебра с нуля
математика для чайников
уроки по математике
математика с нуля для взрослых
как понять математику с нуля
Образование
школа
репетитор по математике
математика онлайн
школьная программа
обучение
Begin Study
Изучаем математику с нуля
Математика для начинающих
Числовое выражение
Упрощение числовых выражений
числовыевыражения
beginstudy
Subtitles
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Subtitles

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  • ruRussian
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00:00:02
numerical expressions using the properties of
00:00:05
addition and subtraction;
00:00:14
simplification of addition; properties of addition;
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we will start with the simplest
00:00:20
with simplification of addition; and for this we will
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need knowledge about the properties of addition;
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we already covered them in lesson 13; the link
00:00:29
to it will be in the upper right corner and in the
00:00:31
description under the video,
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but in this lesson we will complicate this knowledge of the depths
00:00:36
and so the properties of addition are only 3, the
00:00:41
commutative property of addition
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is written in the following formula, in
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simple terms, looking at
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this formula, we see that changing the
00:00:53
places of the terms does not change the sum,
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we can it is easy to see by substituting
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numbers instead of variables, let x be equal to 5
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n6
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in both cases the answer will be the number 11 the
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associative property of addition
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what we see looking at this formula we
00:01:19
see that if we have an expression
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that consists only of the addition of
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natural numbers then we can put
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parentheses in any place or not to put them
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at all, the answer will not change from this for a
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better understanding, again instead of
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variables we will substitute numbers let x be
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equal to one
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n2 y3
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as we see the answer in all cases will be
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the same
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and if it doesn’t matter where to put the parentheses then it
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doesn’t matter in what order we will to
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carry out calculations, we substitute numbers instead of
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variables and make sure that let
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x is equal to 2n 4y 6
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properties of 0 during addition, if
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we add 0 to any number or add
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any number to zero, then in the answer we will get
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this number itself; we can combine all these properties of addition
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or use them simultaneously
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let's look at two examples
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example 1
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simplify the numerical expression
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68 plus 122 plus 32 plus 78 plus 50 what does it mean to
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simplify a numerical expression it
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means finding the answer in the simplest
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way possible
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let's do it and if you solve this
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numerical expression head on then it will be the
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easiest way to find it in in this expression there are
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numbers that are very easy to add
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in your mind here are the numbers 68 and 32 which
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when added will give the number 100 and the numbers 122
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and 78 which when added will give the number
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200
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and then it is very easy to carry out
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calculations and get the number 350 in the answer
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example 2 simplify the numerical expression
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24 + in brackets 8 + 115 plus 61 plus 10
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plus 0 plus 7 plus in brackets 90 plus 333
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plus 5 plus 12
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pause the video and try to
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simplify the data yourself numerical
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expression
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so where do we start we can remove the
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brackets since the answer is from them the presence will not
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change then we calmly remove 0 from
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its presence the answer will also not change
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then we look for numbers the sum of which we can
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calculate verbally and move these numbers
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so that it is easier for us to make
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calculations these numbers are 24 and 61 8 and 12 115
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and 5 10 and 97 and 333 and then everything
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becomes very simple in the answer
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we get the number
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665
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simplification subtraction properties of subtraction
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here we should immediately add everything that we
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used in addition we can
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apply and in subtraction
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you will ask how and I will answer that
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subtraction can be represented by seeing the
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addition of negative numbers
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which is actually possible see
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this simple formula as an example,
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now let's move on to the properties of
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subtracting them, too. 3
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properties of subtracting a sum from a number are
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written by such formulas.
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Analyzing these formulas, we see that if
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we need to subtract a sum from a number, then
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we can first subtract one number and then
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subtract another number from the result.
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it is important whether we first subtract n or and y,
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the answer will not change from this,
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let's substitute numbers instead of variables
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and see more clearly how
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these formulas work let x be equal to 50 n
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7y 13
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we received the same answers
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for the properties of subtracting a number from a sum
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if we need to subtract a number from a sum we
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can subtract this number from one number,
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then add the result with the remaining
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number, substitute
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numbers instead of variables for a
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better understanding of this formula,
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let x be equal to 9 n5 y2
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in the answer we got the same numbers of the
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property 0 when subtracting
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is written with such formulas,
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we know this, but we will repeat it anyway
00:06:26
subtract 0 from a number, then in the answer we
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will get the same number; if we
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subtract the same number from a number, then in the answer we
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will get 0.
00:06:38
If you liked this lesson, you
00:06:40
can support the author by becoming a sponsor of
00:06:42
this channel and also leave your
00:06:45
comments, like and
00:06:47
subscribe to the channel bye everyone

Description:

На этом уроке мы научимся упрощать числовые выражения при помощи свойств сложения и вычитания. ✔ Поддержи автора, став спонсором канала https://www.youtube.com/channel/UC7jP2iV4NXXFtx2lab2ToQg/join ➤ Урок № 13 / Свойства сложения и вычитания ➤ https://www.youtube.com/watch?v=EY-YN2IPfJI Эпизоды видео: 00:00 Вступление 00:14 Упрощение сложения (свойства сложения) 00:40 Переместительное свойство сложения 01:12 Сочетательное свойство сложения 02:07 Свойство нуля при сложении 02:27 Пример 1 03:21 Пример 2 04:29 Упрощение вычитания (свойство вычитания) 05:00 Свойство вычитания суммы из числа 05:43 Свойство вычитания числа из суммы 06:14 Свойство нуля при вычитании 06:37 Д / З

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