1, the definition of multiplication and division
Multiplication: Multiplication is one of the basic mathematical operations. Multiplication is used to add a set of identical numbers. For example, three fives together can be written as 3x5. Here, "3" and "5" are multipliers and the result is a product.
Division: Division is the inverse of multiplication. Division is used when a number needs to be divided into several equal parts. For example, 15 divided by 3 can be written as 15÷3=5. Here, 15 is the dividend, 3 is the divisor and 5 is the quotient.
2, the relationship between multiplication and division
Reciprocal operation: multiplication and division are reciprocal operations, that is, one operation can undo the result of another operation. For example, if you multiply 3 and 5 to get 15, and then divide 15 by 3, you will get the original number 5.
Application of multiplication formula: In the second grade math class, students usually learn multiplication formula. These formulas can not only help them complete multiplication quickly, but also assist division. For example, if students know "3515", they can quickly calculate that 15 divided by 3 equals 5.
Application in practical problems
1, equivalence relation
When solving practical problems, multiplication and division are often used to express equivalence relations. For example, if each student needs 3 notebooks, then 3x 10 = 30 notebooks are needed to prepare 10 students. Conversely, if 30 notebooks need to be distributed to 10 students on average, each student will get 30÷ 10=3 notebooks.
2. Distribution and * * *
Multiplication and division are also very useful in allocating and sharing resources. For example, if there are 12 pieces of candy to be distributed to four children on average, each child will get 12÷4 =3 pieces of candy.
3. Solve the distribution problem in practical problems.
Resource allocation: In practical problems, students often need to solve the problem of resource allocation by multiplication and division. For example, if a school has 100 books and needs to distribute them to 20 students, then each student will get 5 books (100÷20=5). By using multiplication and division, students can allocate resources reasonably and ensure that every student can get the resources he needs.