Difference between revisions of "1988 AHSME Problems/Problem 10"
(Created page with "==Problem== In an experiment, a scientific constant <math>C</math> is determined to be <math>2.43865</math> with an error of at most <math>\pm 0.00312</math>. The experimenter ...") |
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==Solution== | ==Solution== | ||
| − | + | If added together, we have: | |
| − | + | <cmath>2.43865+0.00312=2.44177</cmath> | |
| + | This rounds to <math>2.4</math>If they subtracted, we have: | ||
| + | <cmath>2.43865-0.00312=2.43553.</cmath> | ||
| + | This rounds to <math>2.4</math>. Therefore, we have the answer to be <math>\fbox{\textbf{(D) 2.4}}</math> | ||
== See also == | == See also == | ||
Revision as of 19:25, 18 May 2016
Problem
In an experiment, a scientific constant 
is determined to be 
with an error of at most 
.
The experimenter wishes to announce a value for in which every digit is significant.
That is, whatever is, the announced value must be the correct result when is rounded to that number of digits.
The most accurate value the experimenter can announce for is
Solution
If added together, we have:
![\[2.43865+0.00312=2.44177\]](http://latex.artofproblemsolving.com/2/a/d/2ad276e17b73c0bf5493e845f1e6e8c8cb0e446d.png)
This rounds to 
If they subtracted, we have:
![\[2.43865-0.00312=2.43553.\]](http://latex.artofproblemsolving.com/0/7/4/074ee5805842c7b4fdac50684dc0b37a215f1e55.png)
This rounds to . Therefore, we have the answer to be 
See also
| 1988 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
