题目
x and y are expressed as decimals. When (x+y) is rounded to hundredth decimal place, it is equal to x.
选项
C.The two quantities are equal.
D.The relationship cannot be determined from the information given.
解析
已知当\((x + y)\)四舍五入到百分位小数时等于\(x\)。这意味着\(y\)的值非常小,小到对\(x\)在百分位上没有产生影响。
当进行四舍五入到百分位时,\(y\)的绝对值必须小于\(0.005\),因为如果\(\vert y\vert\geq0.005\),那么\(x + y\)四舍五入到百分位时就会与\(x\)不同。所以\(- 0.0050.005\),所以\(y < 0.007\),即Quantity B is greater,答案为B。