Compared with integer division, decimal division has one more decimal point to deal with. The key to solving fractional division is to convert decimals into integers. Take the following example to calculate 3.5 ÷ 0.5: Multiply both the divisor and the dividend by appropriate multiples to make the divisor an integer. In this example, multiply 0.5 by 10 to get 5, and then multiply 3.5 by 10 to get 35. Convert the original division problem into an integer division problem, that is, 35 ÷ 5. Next, perform ordinary integer division. In this example, 35 ÷ 5 = 7.
Determine the decimal point position of quotient according to the original decimal point position. In this example, the decimal point of the divided quotient should be between one digit and ten digits, and the quotient is 7.0. It can be seen that the key of fractional division is to convert both divisor and dividend into integers with appropriate multiples, and finally determine the decimal point position of quotient. When learning fractional division in grade five, students need to keep in mind that the position of decimal point will not change, and only need to convert decimal point into integer for ordinary integer division.
Decimal division is also very important in daily life. For example, when shopping, we often encounter the problem of discounts. In order to determine the discount price, we need to use fractional division. In quantitative problems, such as calculating the average fuel consumption in litres of gasoline per kilometer, fractional division is also needed. Mastering decimal division is of great significance to children's math study and daily life. It not only helps children understand the operation law and nature of decimals, but also enhances their ability to solve practical problems.
The importance of learning mathematics
Mathematics has cultivated our logical thinking and analytical ability. Mathematics is an accurate subject, which requires us to use logical reasoning and thinking ability to solve problems. By studying mathematics, we can cultivate our ability to think, analyze and solve problems in depth and improve our logical thinking level. Mathematics is the foundation of other disciplines. Mathematics is an important tool and language in natural science, engineering technology, economics and other fields.
Understanding and mastering the principles and methods of mathematics can help us better understand and apply the knowledge of other disciplines and lay a solid foundation for studying and studying other disciplines. Mathematics has cultivated our problem-solving ability and creativity. The problem-solving process in mathematics curriculum trains our problem-solving ability when facing difficulties and challenges. Proof and promotion activities in mathematics also need our creativity and innovative thinking to stimulate our imagination and creativity.