What are the properties of subtraction What are the properties of subtraction?

Nature of subtraction:

Subtracted - Subtracted = Poor.

Subtracted - Difference = Subtracted.

Subtraction + Difference = Subtraction.

Subtracting two numbers in a row from one number can subtract the sum of the two numbers, or you can subtract the second number first and then the first number.

a-b-c=a-(b+c)=a-c-b

1 A number is subtracted from a number, and the same number is added, and the number does not change, i.e. (a b)+b=a

2 Add a number to a number, subtract the same number, and the number does not change, i.e. (a + b) b=a

The sum of 3 n numbers can be subtracted from any addition (if it can be subtracted) and added with the rest of the additions, e.g. (a+b+c) d=(a d)+b+c

4 The sum of n numbers can be subtracted from a number, and each addition in the sum can be subtracted from this number, e.g. a (b+c+d)=a b c d

5 The difference between two numbers may be subtracted from a number, and the number subtracted from the difference may be subtracted from that number, and the subtracted number may be added to the difference. Or add the subtraction in the difference first, and then subtract the subtracted number in the difference, i.e., a (b c) = a b + c or a (b c) = a + c b

6.Subtracting two numbers in a row from a number is equal to subtracting the sum of those two numbers. a-b-c=a-(b+c)。

Subtracting two numbers in a row from a number can subtract the sum of the two numbers, or you can subtract the first minus and then the second minus.

a-b-c=a-(b+c)

1 Subtract or add a number to a number, add or subtract the same number, and the number remains the same, i.e. a b+b=a or a+b-b

The sum of 2 n numbers can be subtracted from any addition (if it can be subtracted) and added with the rest of the additions, e.g. (a+b+c) d=(a d)+b+c

3 The sum of n numbers can be subtracted from a number, and each addition in the sum can be subtracted from this number, e.g. a (b+c+d) = a b c d

4 The difference between two numbers may be subtracted from a number, and the number subtracted from the difference (if it can be subtracted) may be added to the difference. Or add the subtraction in the difference first, and then subtract the subtracted number in the difference, i.e., a (b c) = a b + c or a (b c) = a + c b

Nature of subtraction:

Subtracted - Subtracted = Poor.

Subtracted - Difference = Subtracted.

Subtraction + Difference = Subtraction.

The nature of subtraction: the subtracted is equal to the difference.

The nature of subtraction should be the inverse of addition.

Subtracted - Subtracted = Poor.

Subtracted - Difference = Subtracted.

Subtraction + Difference = Subtraction.

Less and less, less and less.

Ye Gucheng gathers or not, chirp, chirp, hurry

Pack up, pack up, pack up.

Excessive methods of communication have enriched individuals.

The law of subtraction: subtraction combined: subtract two numbers from a number in a row, you can add the last two numbers first, and then phase each other.

minus, formula: a-b-c=a-(b+c).

Example: 12-1-3=12-(1+3).

1. The meaning of subtraction: The operation of subtracting another quantity from one quantity is called subtraction.

Second, the nature of subtraction:

1. Subtracting a number is equal to adding the opposite of the number. a-b=a+(-b)

2. Subtracting a number plus adding a number is equal to subtracting the difference between the two numbers. a-b+c=a-(b-c)

Extended Materials. 1. The law of operation of addition.

1. The commutative law of addition.

Add two numbers, swap the position of the additive, and the unchanged. a+b=b+a

2. Associative law of addition.

Add three numbers, add the first two numbers first, or add the last two numbers first, and the sum is unchanged. (a+b)+c=a+(b+c)

2. The law of multiplication.

1. Multiplicative commutative law.

The two numbers are multiplied and the position of the exchange factor is exchanged, and the product does not change. ab=ba

2. Multiplication associative law.

When three numbers are multiplied, you can multiply the first two numbers first, or multiply the last two numbers first, and the product remains the same. (ab)c=a(bc)

Subtracting a number is equal to adding the opposite of the number.

The nature of subtraction is as follows:

1. Subtraction follows several important patterns. It is anti-commutative, meaning that changing the order changes the symbol of the answer.

2. It is not binding, that is, when a subtraction exceeds two numbers, the order of subtraction is important. Subtracting 0 does not change a number.

3. Subtraction also follows the rules of receptivity related to addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalized by real numbers and other things.

4. The subtraction of natural numbers is not closed. It can be closed unless the subtraction is greater than the subtraction. For example, 26 cannot be subtracted by 11.

5. Formally, the number that is subtracted is called the subtraction, and the number that subtracts it is subtracted.

1. The subtracted number subtracted difference;

2. The difference is subtracted by the subtraction;

3. The difference between the subtracted and the subtracted;

4. Subtraction subtraction difference between subtraction and subtraction;

5. The difference is subtracted;

6. The subtracted difference is subtracted.

In the specific formula of subtraction, the number before the minus sign is called the subtracted number, the number after the minus sign is called the minus number, and the number after the equal sign is the difference. For example, 14-8=6, 14 is in front of the minus sign and 8 is after the minus sign, so 14 is the subtracted number, 8 is the minus number, and the number 6 after the equal sign is the difference between the two.

The basic nature of subtraction1 A number is subtracted from a number, and the same number is added, and the number does not change, i.e. (a b)+b=a

2 Add a number to a number, subtract the same number, and the number does not change, i.e. (a + b) b=a

3. The sum of n numbers can be subtracted from any number of additions, and then added with the rest of the additions, such as (a+b+c) d=(a-d) b+c.

4 The sum of n numbers can be subtracted from a number, and each addition in the sum can be subtracted from this number, e.g. a (b+c+d)=a b c d

The nature of subtraction: It refers to the subtraction of two numbers from a number in a row, and the sum of these two numbers can be subtracted, or the first subtraction can be subtracted first, and then the second subtraction.

1、a-b=(a+c)-(b+c) ；

2、a-b=(a-c)-(b-c)；

3、a-(b+c)=a-b-c；

4、a-(b-c)=a-b+c。

The use of subtractive properties(1) Use the subtraction property to "round up": subtract several numbers from a number in a row, if the sum of the subtractions can be made into a whole ten, you can add the minus first and then subtract it. This kind of oral arithmetic is relatively simple.

Example: 50 13 7

2) Using the commutative law of addition and subtraction: the problem of adding first and then subtracting can also be made as subtracting and then adding.

Example: 562 316 62

Answer: First, the connotation of the nature of subtraction.

The nature of subtraction is to subtract two numbers in a row from a number, and you can subtract the sum of these two numbers, or you can subtract the first subtraction first, and then subtract the second subtraction.

Second, the nature and content of subtraction.

a-b-c=a-(b+c)

1 Subtract or add a number to a number, add or subtract the same number, and the number remains the same, i.e. a b+b=a or a+b-b

The sum of 2 n numbers can be subtracted from any addition (if it can be subtracted) and added with the rest of the additions, e.g. (a+b+c) d=(a d)+b+c

3 The sum of n numbers can be subtracted from a number, and each addition in the sum can be subtracted from this number, e.g. a (b+c+d) = a b c d

4 The difference between two numbers may be subtracted from a number, and the number subtracted from the difference (if it can be subtracted) may be added to the difference. Or add the subtraction in the difference first, and then subtract the subtracted number in the difference, i.e., a (b c) = a b + c or a (b c) = a + c b

Subtraction is giving, that is, selflessness, or addition and subtraction, arithmetic, but generally we are a subtraction person, which is for our own benefit.

For a person, don't care about the formalism, you will be much easier to do the appropriate subtraction.

Do a good job of addition and subtraction for the benefit of the people.

There are two answers, without considering that the numbers in each arithmetic test cannot be repeated

Answer 1: 84-16=68.

According to the last digit of 68 is 8, and the mantissa of the subtracted number is 4, it can be concluded that the mantissa of the subtraction should be 6, and then according to the subtraction and the subtraction are both 2 digits, it can be deduced in reverse, assuming that the subtraction is 16, the reduced number is 84, which is the answer one.

Answer 2: 94-26=68.

Assuming that the subtraction is 26, it can be concluded that the subtraction is 94, which is the answer 2; Further up is not feasible, because at this point the reduction to three digits does not meet the requirements of the question. However, it is required that the blind number in each calculation test cannot be repeated, and at least 6 in answer 1 and answer 2 are repeated, so there is no answer to this question, and it may be that there is an error in the question.

When doing this kind of problem, you can first observe the relationship between the three numbers of the subtracted number, the subtraction number and the difference, and then reverse the deduction to list all the possible options, and then filter the answers according to the meaning of the question to get the final answer.

Subtraction formula. 1. The subtracted number subtracted difference;

2. Difference + subtraction = subtraction.

3. The difference between the subtracted and the subtracted;

Subtraction-related properties.

1. Anti-exchange rate: Subtraction is anti-exchange, if a and b are any two numbers, then.

a-b)=-b-a)

2. Anti-knotting: Subtraction is anti-conjunctive, and when trying to redefine subtraction, then.

a-b-c=a-(b+c）

Horizontally: unchanged - smaller = larger (minus unchanged, minus smaller, difference larger), vertical: bigger - unchanged = larger (subtracted larger, minus unchanged, difference larger).

The subtraction table looks at the morning bucket horizontally, and the subtraction is the same, and the difference is the same. The subtraction table looks horizontally, the rise is the same as the subtraction, and the subtraction increases at the same time, and the difference remains the same, and the subtraction is the same horizontally, and the subtraction is the same vertically.

Subtraction is anti-commutative, meaning that changing the order changes the symbol of the answer. It does not have a conjunction, that is, when a minus is more than two numbers, the order of subtraction is important.

Subtracting 0 does not change a number. Subtraction also follows the rules of referencing for related operations such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers, and summarizing by real numbers and other things.

a-b-c=a-(b+c) is the anti-commutative law of subtraction.

If you subtract the difference between two numbers from one number, you can subtract the subtracted number in the difference from this number (if it can be subtracted), and then grind it to add the subtraction in the difference; Or add the subtraction in the difference first, and then subtract the subtracted number in the difference, i.e., a (b c) = a b + c or a (b c) = a + c b

Other operational properties of subtraction:

1 A number is subtracted from a number, and the same number is added, and the number does not change, i.e. (a b)+b=a

2 Add a certain number to a certain number, and then subtract the same number, and a certain number does not change, that is, (a+b)-b=a.

The sum of 3 n numbers can be subtracted from any addition (if it can be subtracted) and then added with the rest of the additions, e.g., bridge stove (a+b+c)-d=(a-d)+b+c.

4 The sum of n numbers can be subtracted from a number, and each addition in the sum can be subtracted from this number, e.g. a (b+c+d)=a b c d

The above content reference: Encyclopedia - Subtraction.

Subtraction properties: Subtract two numbers in a row from a number, you can subtract the sum of these two numbers, or you can subtract the first minus first, and then subtract the second minus from the scattered brigade.

The property formula for subtraction: a-b-c=a-(b+c). Kai stool.