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在整数加减法教学中,对于加法与减法是否互为逆运算的看法是不一致的,有的认为是,有的认为不是,认为“是”与“不是”的,各自的理由也不尽相同。下面谈谈我的浅见,仅供大家参考。 要判断加法与减法是否互为逆运算,只能依据逆运算的定义进行分析。逆运算的定义是:“如果给出集合A的一个代数运算,对于A的有序元素对a、b,有A中的一个元素c与它们对应,可以由这个代数运算得出两个代数运算,即是把a、b中的一个当作所求,而把c当作已知,这样得出的代数运算叫原来代数运算的逆运算。它的第一个逆运算是:对于元素对c、b使元素a与它们对
In the teaching of integer addition and subtraction, the opinions about whether addition and subtraction are mutually inverse are inconsistent. Some think it is that some think not, think “yes” and “no”, and their reasons are not the same . Here to talk about my humble opinion, for your reference. To determine whether the addition and subtraction each other inverse, can only be based on the definition of inverse analysis. The definition of the inverse operation is: "If we give an algebraic operation of set A, for an ordered element of A, a, b, there is an element c in A corresponding to them, and two algebraic operations can be derived from this algebraic operation , That is, one of a, b as the demand, and the c as known, so that the algebraic operation is called the original algebraic operation of the inverse. Its first inverse operation is: for the element c , B to element a with them