题目

x and y are expressed as decimals. When (x+y) is rounded to hundredth decimal place, it is equal to x.


Quantity A

y

Quantity B

0.007

选项

A.

Quantity A is greater.

B.

Quantity B is greater.

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。
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