AMC 8 1992 Problem 3

AMC8 1992 年第 3 题

表达式与运算★☆☆☆☆

What is the largest difference that can be formed by subtracting two numbers chosen from the set

\{ -16,-4,0,2,4,12 \}

从集合

\{-16,-4,0,2,4,12\}

中选两个数相减，能形成的最大差是多少？

正确答案 · Correct Answer

解析 · Solution

Solution 1

To maximize anything of the form a-b, we maximize

a

and minimize

b

. The maximal element of the set is 12 and the minimal element is -16, so the maximal difference is

12-(-16)=28\rightarrow \text{D}.

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