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在一次教研活动中,老师们讨论了下面一个问题:2(余100)=700÷300=7÷3=2(余1)这个式子是对还是错?如果错,错在哪里?要把这个问题讲清楚,还得从数集的角度入手:从问题表述的形式可以看出,这里的运算是整数除法中的有余数的除法。存在的数集是整数集。在整数范围内有:700÷300=2(余100)7÷3=2(余1)所以700÷300≠7÷3故上面给出的等式不成立。下这样的断语,往往使人难以接受。因此想再解
In a teaching and research activity, the teachers discussed the following question: 2 (more than 100) = 700 ÷ 300 = 7 ÷ 3 = 2 (more than 1) Is this formula right or wrong? If wrong, where is it wrong? This problem is clear, but also from the perspective of the number of sets: From the form of the problem statement can be seen that the operation here is integer division of the remainder of the division. The number set is an integer set. 700 ÷ 300 ≠ 7 ÷ 3 Therefore, the equation given above does not hold. Under such a statement, often unacceptable. So want to solve again