1, additive commutative law: a+b = b+a.

2. Additive associative law: (a+b)+c=a+(b+c)

3. law of subtraction: a-(b-c) = a-b+c; a-(b+c)=a-b-c

4. Multiplicative commutative law: a× b = b× a.

5. Multiplicative associative law: (a×b)×c=a×(b×c) or a×b×c=a×(b×c).

6. Multiplication distribution law: (a+b)×c=a×c+b×c or (a-b) × c = a× c-b× c.

7. Inverse application of the law of multiplication and distribution: a×c+a×b=(a+b)×c or a× c-b× c = (a-b )× c.

8. Quotient invariance: a ÷ b ÷ c = a ÷ (b× c) = a ÷ c ÷ b; a \b×c = a \b \c

A series of laws in operation, collectively referred to as algorithms, can make calculation easier.

Extended data:

The meaning of the operation law:

Addition: The calculation of combining two or more numbers and quantities into one number and quantity is called addition.

Additive commutative law: When two numbers are added, the position of the addend is reversed and the sum remains the same.

Law of addition and association: when three numbers are added, the first two numbers are added first, or the last two numbers are added first, and the sum is unchanged. ?

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

Law of subtraction and association: a number subtracts two numbers continuously, and the last two numbers can be added first and then subtracted. Subtracting a number is equal to adding the reciprocal of this number. Subtracting one number and adding another number equals subtracting the difference between the two numbers.

Multiplication: The simple operation of finding the sum of several identical addends is called multiplication.

Multiplication and exchange law: when two numbers are multiplied, the position of the exchange factor remains unchanged.

Multiplication and association law: when three numbers are multiplied, you can multiply the first two numbers or the last two numbers first, and the product is unchanged. ?

Distribution law: Distribution law is a simple operation of multiplication, which can be used for fractions and decimals. When the sum of two numbers is multiplied by a number, it can be multiplied by this number first, and then added, and the product is unchanged. This is the so-called law of multiplication and division.

Division: knowing the product of two factors and one of them, the operation of finding the other factor is called division.

References:

Baidu Encyclopedia-Operating Rules