Difference between revisions of "1986 AJHSME Problems/Problem 20"
5849206328x (talk | contribs) (New page: ==Problem== The value of the expression <math>\frac{(304)^5}{(29.7)(399)^4}</math> is closest to <math>\text{(A)}\ .003 \qquad \text{(B)}\ .03 \qquad \text{(C)}\ .3 \qquad \text{(D)}\ 3 ...) |
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==Solution== | ==Solution== | ||
− | {{ | + | <cmath> \frac{(304)^5}{(29.7)(399)^4} \approx \frac{300^5}{30\cdot400^4} = \frac{3^5 \cdot 10^{10}}{3\cdot 4^4 \cdot 10^9} = \frac{3^4\cdot 10}{4^4} = \frac{810}{256}</cmath> |
+ | Which is closest to <math>3\rightarrow\boxed{\text{D}}</math>. | ||
+ | |||
+ | (The original expression is approximately equal to <math>3.44921198</math>.) | ||
==See Also== | ==See Also== | ||
− | [[ | + | {{AJHSME box|year=1986|num-b=19|num-a=21}} |
+ | [[Category:Introductory Algebra Problems]] | ||
+ | {{MAA Notice}} |
Latest revision as of 20:28, 3 July 2013
Problem
The value of the expression is closest to
Solution
Which is closest to .
(The original expression is approximately equal to .)
See Also
1986 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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 |
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