What are the algorithms for multiplication?

There are three kinds of multiplication algorithms: multiplication exchange law, multiplication association law and multiplication distribution law.

Multiplicative commutative law: Multiplicative commutative law is the multiplication of two numbers, the position of exchange factors, and their products remain unchanged.

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 remains unchanged.

Multiplication and distribution law: multiplying the sum of two numbers by the same number is equivalent to multiplying two addends by this number respectively, and then adding the two products, and the sum is unchanged.

Multiplication operation property

Multiply the product of several numbers by a number so that any factor in the product can be multiplied by this number, and then multiplied by other numbers, for example, (25×3×9)×4=25×4×3×9=2700.

Multiply a number by the difference between two numbers, so that the minuend and the minuend are multiplied by this number respectively, and then subtract the product, for example: (137-125) × 8 =137× 8-125× 8 = 96.