Difference between revisions of "1998 AJHSME Problems/Problem 5"
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Looking at the fifth digit after the decimal of each, we find that choices <math>C</math>, <math>D</math>, and <math>E</math> are eliminated. | Looking at the fifth digit after the decimal of each, we find that choices <math>C</math>, <math>D</math>, and <math>E</math> are eliminated. | ||
| − | Since B has a non-zero sixth digit after the decimal, unlike <math>A</math>, we conclude that <math>\boxed{B}</math> is the largest number. | + | Since <math>B</math> has a non-zero sixth digit after the decimal, unlike <math>A</math>, we conclude that <math>\boxed{B}</math> is the largest number. |
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== See also == | == See also == | ||
Latest revision as of 22:10, 13 January 2023
Contents
Problem
Which of the following numbers is largest?
Solution 1
Looking at the different answer choices, we have (up to 10 digits after the decimal)
:
:
:
:
:
By inspection, we can see that
is the largest number.
Solution 2
Looking at the fifth digit after the decimal of each, we find that choices
,
, and
are eliminated.
Since
has a non-zero sixth digit after the decimal, unlike
, we conclude that
is the largest number.
See also
| 1998 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.