A, the formula meaning of the law of multiplication and distribution
This formula shows that when two numbers are added and then multiplied by the third number, the result is equal to two addends multiplied by the third number and then added.
Second, the formula explanation of the law of multiplication and distribution
Proof of 1, Multiplicative Distribution Law
Multiplication and distribution law is one of the basic mathematical algorithms. In order to prove the laws of multiplication and distribution, algebraic methods can be used. The left side of the equation can be expanded to get: (a+b) × c = a× c+b× C. This equation can be proved by algebraic transformation and multiplication and division. This process involves the application of multiplication law and distribution law of algebra, merging similar terms, simplifying and finally proving.
2. The application of the law of multiplication and distribution
Multiplication and distribution law is widely used in mathematics, which can simplify complex mathematical expressions and simplify the calculation process. When solving algebraic problems, we can use multiplication and division methods and distribution methods to simplify the problems and find the solutions faster. When solving practical problems, we can use multiplication and division and distribution to calculate the sum or average.
Application of multiplicative associative law and commutative law in real life.
1. Multiplicative associative laws and commutative laws
Multiplicative associative law and commutative law are two important multiplicative properties besides distributive law. Multiplication commutative law means that when two numbers are multiplied, the position of the commutative factor does not affect the size of the product, that is, A× B = B× A. These two laws are also widely used in algebraic operations.
Second, the application of the law of multiplication and distribution in real life
In addition to its application in mathematical operations, the law of multiplication and distribution is also widely used in real life.
When shopping, we can calculate the total price by multiplication and division; When calculating wages, we can use the law of multiplication and distribution to calculate the total wages; When calculating the cost, we can use the law of multiplication and distribution to calculate the total cost. These practical applications show the importance and universality of the multiplication table.