1. Simplify calculation: By using multiples, we can transform complex numerical problems into simpler forms. For example, when we need to calculate the multiple of a number, we can multiply the number directly without adding or multiplying them one by one.
2. Representation of proportional relationship: multiples can be used to represent the proportional relationship between two numbers. For example, one number is twice that of another number, and we can express this relationship by multiples, that is, the first number is twice that of the second number.
3. Construct fractions and decimals: multiples can be used to construct fractions and decimals. For example, when we need to convert an integer into a fraction, we can divide the integer by an appropriate multiple and the result is a fraction. Similarly, when we need to convert a fraction into a decimal, we can multiply this fraction by an appropriate multiple to get a decimal.
4. Representation of power operation: multiples can also be used to represent power operation. For example, when we need to calculate the power of a number, we can directly multiply this number by its own power, and the result is the power of this number.
5. Solving practical problems: multiples also play an important role in solving practical problems. For example, when we need to calculate the number of an object, we can use multiples to indicate the number of increases or decreases. In addition, multiples can also be used to calculate practical problems such as percentage, interest rate and discount.
In a word, multiples are widely used in mathematical research, which can help us simplify calculations, express proportional relations, construct fractions and decimals, express power operations and solve practical problems.