有理数的运算是初中数学中最基础的运算.在有理数的运算中,若能正确、合理、灵活地运用乘法分配律,则可以简化计算过程,提高运算速度和准确性.一、正向应用例1计算:(-1/4+1/6-5/8+7/(24))×(-48).分析:此题若根据运算顺序,先算括号里面的,则需要通分,计算过程较麻烦.而-48是括号内各分母的倍数,若利用乘法分配律,则会使计算变得简捷,且不易出错.解:略. The operation of rational numbers is the most basic operation in junior high school mathematics. In rational number operations, if the multiplicative distribution law can be used correctly, reasonably, and flexibly, the calculation process can be simplified and the operation speed and accuracy can be improved. First, positive application example 1Calculation: (-1/4+1/6-5/8+7/(24))×(-48). Analysis: If this question is calculated according to the order of operations, the parentheses in the parentheses must be calculated. The process is more troublesome. And -48 is a multiple of the denominators in parentheses. If a multiplicative distribution law is used, it will make the calculation simple and error-prone. Solution: Slightly.