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如果我们对有理数的加、减、乘、除、乘方运算仔细加以比较,就会发现,在有理数运算中,加减法是统一的,乘除法是统一的,而乘方运算则是特殊的乘法(相同因数相乘),只要理解了底数、指数的意义,乘方也就不难掌握了。由此可见,掌握有理数的加法和乘法运算是学好有理数运算的基础,而学会转化则是学好有理数运算的关键。
If we carefully compare the addition, subtraction, multiplication, division, and square operations of rational numbers, we will find that in rational number operations, the addition and subtraction are unified, the multiplication and division are unified, and the square operations are special. Multiplication (multiplication of the same factor), as long as you understand the meaning of the base and exponent, the power is not difficult to master. From this we can see that the addition and multiplication of rational numbers are the basis for learning rational numbers, and the transformation of learning is the key to learning rational numbers.