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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

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Числовое выражение

Упрощение числовых выражений

числовыевыражения

beginstudy

00:00:02

numerical expressions using the properties of

00:00:05

addition and subtraction;

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simplification of addition; properties of addition;

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we will start with the simplest

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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

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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

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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

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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

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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

00:02:53

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

00:03:41

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

00:03:52

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

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subtract 0 from a number, then in the answer we

00:06:28

will get the same number; if we

00:06:32

subtract the same number from a number, then in the answer we

00:06:35

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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