The concepts of multiplication and association law: when three numbers are multiplied, the first two numbers are multiplied first and then multiplied, or the last two numbers are multiplied first and then multiplied, and the product is unchanged.
The law of multiplicative association is a kind of multiplication operation and one of many simple methods. It can change the order of multiplication. In daily life, the application of multiplicative associative law is not extensive, but mainly plays a simple role in some complex operations.
Extended data:
Other operating laws:
Additive associative law: a+b+c=a+(b+c)
Multiplicative commutative law: a×b=b×a
Multiplication and distribution law: a×c+b×c=(a+b)×c
The essence of subtraction: a-b-c=a-(b+c)
The nature of division: (a÷b)÷c=a÷(b×c)
Quotient invariance: a ÷ b = (a× c) ÷ (b× c) = (a ÷ c) ÷ (b ÷ c) (c ≠ 0)
The nature of removing brackets in multiplication and division;
(1) The product of a number divided by two numbers is equal to the number divided by two factors of the product in turn.
a/(b*c)=a/b/c
② The quotient of a number divided by two numbers is equal to the number multiplied by the dividend in the quotient and the divisor in the divisor.
a/(b/c)=a/b*c