Difference between revisions of "1998 CEMC Gauss (Grade 7) Problems/Problem 16"
Coolmath34 (talk | contribs) (Created page with "== Problem == Each of the digits 3, 5, 6, 7, and 8 is placed one to a box in the diagram. If the two digit number is subtracted from the three digit number, what is the smalle...") |
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== Solution == | == Solution == | ||
Make the 3-digit number as small as possible (356) and the 2-digit number as large as possible (87). The smallest difference is <math>\boxed{\text{(A)} \quad 269.}</math> | Make the 3-digit number as small as possible (356) and the 2-digit number as large as possible (87). The smallest difference is <math>\boxed{\text{(A)} \quad 269.}</math> | ||
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| + | [[Category: Introductory Number Theory Problems]] | ||
Latest revision as of 17:36, 22 January 2024
Problem
Each of the digits 3, 5, 6, 7, and 8 is placed one to a box in the diagram. If the two digit number is subtracted from the three digit number, what is the smallest difference?
[Align three boxes to the right and two boxes below so it looks like a three digit number subtracting a two digit number.]
Solution
Make the 3-digit number as small as possible (356) and the 2-digit number as large as possible (87). The smallest difference is 
