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在小学数学教材中,“商不变性质”,就是被除数和除数同时扩大(或缩小)相同的倍数,商不变。用字母来表示:a÷b=c时,(a(?)d)÷(b(?)d)=c(不变)。运用这一性质来解题,能使计算过程大大简化,收到化难为易的效果。如: 650÷25 =(650×4)÷(25×4) =2600÷100 =26 但是,当被除数不能被除数整除时,得到的商是不完全的商,余数不是零,运用这个商不变的性质进行计算,学生往往容易出错。如:
In primary school mathematics textbooks, the “invariable nature of business” means that the same multiples of the dividend and the divisor are expanded (or contracted) at the same time, and the quotient is unchanged. Letters denote: a ÷ b = c, (a (?) D) ÷ (b (?) D) = c (unchanged). The use of this property to solve problems can make the calculation process greatly simplified and received the effect of making it difficult for us. Such as: 650 ÷ 25 = (650 × 4) ÷ (25 × 4) = 2600 ÷ 100 = 26 However, when the dividend can not be divisible by divisor, the quotient obtained is incomplete quotient, the remainder is not zero, the use of this quotient The nature of the calculations, students tend to be prone to error. Such as: