Difference between revisions of "1955 AHSME Problems/Problem 1"
(→Solution) |
Robotman1717 (talk | contribs) (→Solution) |
||
Line 5: | Line 5: | ||
==Solution== | ==Solution== | ||
− | First of all, <math>0.000000375 = 3.75 \times 10^{-7}</math> in scientific notation. This eliminates <math>\textbf{(A)}\ 3.75\times 10^{-7}</math>, <math>\textbf{(B)}\ 3\frac{3}{4}\times 10^{-7}</math>, and <math>\textbf{(C)}\ 375\times 10^{-9}</math> immediately. <math>\textbf{(E)}\ \frac{3}{80000000}</math> is a bit harder, but it can be rewritten as <math>\frac{3}{8} \cdot 10^{-7}</math>. Thus, as entered, the answer is <math>\ | + | First of all, <math>0.000000375 = 3.75 \times 10^{-7}</math> in scientific notation. This eliminates <math>\textbf{(A)}\ 3.75\times 10^{-7}</math>, <math>\textbf{(B)}\ 3\frac{3}{4}\times 10^{-7}</math>, and <math>\textbf{(C)}\ 375\times 10^{-9}</math> immediately. <math>\textbf{(E)}\ \frac{3}{80000000}</math> is a bit harder, but it can be rewritten as <math>\frac{3}{8} \cdot 10^{-7}</math>, which is the same as <math>\textbf{(D)}</math>. Thus, as entered, the answer is either <math>\textbf{(D)}</math> or <math>\textbf{(E)}</math>. The original contest had this error in it, although the desired answer was D. |
==See Also== | ==See Also== |
Revision as of 20:08, 4 October 2023
Problem
Which one of the following is not equivalent to ?
Solution
First of all, in scientific notation. This eliminates
,
, and
immediately.
is a bit harder, but it can be rewritten as
, which is the same as
. Thus, as entered, the answer is either
or
. The original contest had this error in it, although the desired answer was D.
See Also
1955 AHSC (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.