The associative law of multiplication ismultiplicationoperationIt is one of many simple methods.When multiplying three numbers, first multiply the first two numbers, then multiply with another number, or first multiply the last two numbers, then multiply with another number, and the product remains unchanged.It's called the associative law of multiplication.It can be reduced to (ab) c=a (bc), (a · b) · c=a · (b · c), which can change theOperation order。The law of combination of multiplication in daily lifeapplicationNot many, mainly in some more complex operations play a simple role.
The associative law of multiplication ismultiplicationoperationIt is one of many simple methods.When multiplying three numbers, first multiply the first two numbers, then multiply with another number, or first multiply the last two numbers, then multiply with another number, and the product remains unchanged.It's called the associative law of multiplication.It can be reduced to (ab) c=a (bc), (a · b) · c=a · (b · c), which can change theOperation order。In daily life, the associative law of multiplication is not used very much, but plays a simple role in some complex operations.[1]
Representation
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Letters: (a × b) × c=a × (b × c)
Graphic representation: (☆× ◇) ×△=☆× (◇×△)
Operation method
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The associative law of multiplication is three numbersMultiplication, multiply the first two numbers first, or multiply the last two numbers first,productunchanged.
It is a simple calculation law, which is involved in the mathematics textbook of the People's Education Press for the fourth grade of primary school: in the multiplication operation of two numbers, in the order of calculation from left to right, two factors are multiplied, and the position of the exchange factor is unchanged.Specifically, when two numbers are multiplied, the position of the exchange factor is changed, and their product is unchanged.be calledCommutative law of multiplication。[2]
Expressed in letters: axb=bxa (note that inmultiplicationIn and numbers, the multiplication sign is expressed with ·, for example: (axb=bxa or: a · b=b · a).
It can changemultiplicationIn daily life, the commutative law of multiplication is seldom used in the order of operations.[3]
application
（1）factorIn general, the multiplication of exchange positions with zero in the middle or zero at the end can be used to simplify the calculation process.
(2) One of the factors is composed of repeated numbers, which is also easy to calculate by using the exchange law.
