To compare two numbers or expressions, we have several fundamental methods. The subtraction method involves finding the difference between two values and comparing it with zero. If a minus b is positive, then a is greater than b. The division method compares the ratio of two positive numbers with one.
The subtraction method is based on a simple principle: to compare two numbers a and b, we calculate their difference a minus b. If the result is positive, then a is greater than b. If the result is zero, they are equal. If the result is negative, then a is less than b. This graph shows how the sign of the difference determines the relationship between the numbers.
作商法是比较两个正数大小的重要方法。我们计算a除以b的商，然后与1进行比较。如果商大于1，则a大于b；如果商等于1，则两数相等；如果商小于1，则a小于b。这种方法在处理分数或指数表达式时特别有效。