Difference between revisions of "1987 AJHSME Problems/Problem 6"

m
 
Line 12: Line 12:
 
{{AJHSME box|year=1987|num-b=5|num-a=7}}
 
{{AJHSME box|year=1987|num-b=5|num-a=7}}
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 +
{{MAA Notice}}

Latest revision as of 23:52, 4 July 2013

Problem

The smallest product one could obtain by multiplying two numbers in the set $\{ -7,-5,-1,1,3 \}$ is

$\text{(A)}\ -35 \qquad \text{(B)}\ -21 \qquad \text{(C)}\ -15 \qquad \text{(D)}\ -1 \qquad \text{(E)}\ 3$

Solution

To get the smallest possible product, we want to multiply the smallest negative number by the largest positive number. These are $-7$ and $3$, respectively, and their product is $-21$, which is $\boxed{\text{B}}$

See Also

1987 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png