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前几日,在练习简便计算时,有这样一道题目:159÷3+141÷3,关于这道题目能不能简算的问题,学生争执不下。一部分学生认为,这道题可以和乘法一样运用分配律进行简算,另一部分学生则认为不能简算,除法没有分配律。大家争得面红耳赤,看来这个问题有必要好好讨论一下。生1:我认为除法有分配律,因为乘法分配律的标准形式是:(a+b)×c=a×c+b×c,那么我们只要把乘法变成除法就是(a+b)÷c=a÷c+b÷c。举个例子,(8+4)÷2=8÷2+4÷2=6,(12+6)÷3=12÷3+6÷3=6,(10—5)÷5=10÷5—5÷5=1,所以除法有分配律。生2:我也认为有,但是c÷(a-b)却不等于c÷a-c÷b,除法分配律必须在特殊的情况下才行,它也许不叫除法分配律。但我觉得它的标准形式是:(a+
A few days ago, in the practice of simple calculation, there is such a topic: 159 ÷ 3 +141 ÷ 3, on this topic can not be a simple question, the students can not dispute. Some students think that this question can be used in the same way as the multiplication method to apply the distribution law, while others think it can not be calculated in a simple manner. The division does not have a distribution law. Everyone won the prize. It seems that this issue needs to be discussed well. Health 1: I think the division of the law of division, because the standard form of the law of multiplication distribution is: (a + b) × c = a × c + b × c, then we simply multiplication into division is (a + b) ÷ c = a ÷ c + b ÷ c. For example, (8 + 4) ÷ 2 = 8 ÷ 2 + 4 ÷ 2 = 6, (12 + 6) ÷ 3 = 12 ÷ 3 + 6 ÷ 3 = 6, (10-5) ÷ 5 = 10 ÷ 5-5 ÷ 5 = 1, so the division law has distribution. Health 2: I also think there, but c ÷ (a-b) is not equal to c ÷ a-c ÷ b, division of distribution law must be in exceptional circumstances Caixing, it may not be called divisor distribution law. But I think its standard form is: (a +