<p>Before I say this though... i just want to say i bet someone will go find it on the internet or someone will say that "oh i knew that already" but i don't care. I found this out on my own and if its new then I am extremely happy. Ok here it is
You have a number (AB)^2
B is the last digit
A is every digit before
So if you have (128)^2 a = 12 and b= 8
now
square A square B and place them next to each other (in this case 14464)
Now times 12 x 8 (4th graders DO know their times tables) and times that by 2 (the part fourth graders may not know..) which equals 192
add a 0 to 192
14464 + 1920 = 16384 (may have done addition wrong. have to go)
Well there you go
It imo is easier than the foil method
I dont know how I figured this out but I am so happy i included it in the optional essay under an "idea created". This is my one thing I have that may make me different than an average applicant. At the same time though.. it may be an old formula that everyone knows.
So this is how I did it
(AB)^2 = A^2B^2 (don't multiply em' just place em' next to each other) + 2AB 0 (add the 0 on after you multipy the product between 2 A and B).
This is how I worded the formula except for the 'ems and some other minor things. And I showed 2 examples of it working.</p>
<p>10</p>
<p>.</p>
<p>Oh and don't bother trying to use it if you are in the RD (may sound very harsh NOT directed at anyone). My friend's sister had someone use something exactly in her essay. They both applied. The person who copied (not full copy just kind of half.. if you get what I mean) didn't get in. She got in. (It was Brown U. I don't know much about the college though.)</p>
<p>You're just writing an arbitrary 2 digit number as 10A + B, for 1 <= A <= 9 and 0 <= B <= 9 (along with A and B being integers). To square that, you'd have the quadratic: 100A^2 + 20AB + B^2. Based on the method you are using, you do not account for the fact that when 0 <= B <= 3, B^2 will be a one digit number. If that is the case, your method would produce the result: 10A^2 + 20AB + B^2, which for most cases (i.e., A != 0), would be wrong.</p>
<p>Oooohhhh PWNED!</p>
<p>:/</p>
<p>.</p>
<p>that's really cool</p>
<p>Its not foil... you do one less addition problem. I don't understand what you are talking about anyhow..</p>
<p>and no.. my method is not wrong. i have been using it since the eleventh grade to help me in certain clubs for fast mental math problems. AND NO. its NOT foil. I dont understand you. WHy dont you try out my formula before criticizing it momofchris? It always works. Its easier than foil. Its new. Again its NOT a quadratic. You probably ignored my whole post and read the last sentence. I too was amazed with this formula. But its not the quadratic equation.</p>
<p>try it with 12</p>
<p>1^2 2^2 = 14 + 2ab 0 = 14 + 2 * 1 *2 0</p>
<p>= 14 + 40 = 54 -> 12^2 does not = 54</p>
<p>mom of chris ur explanation is very good, and yes gyros your method is basically foiling. Most of what is different about yours is that you take out a ten.</p>
<p>Try any number that ends with 0, 1, 2, or 3. Like 110, 111, 112, or 113. Using your method you would get 1210, 1431, 1654, and 1879. The correct answers are 12100, 12321, 12544, and 12769.</p>
<p>The use of the quadratic was not to give an alternative method, but to show what you're really trying to do (in a more mathematically structured form).</p>
<p>Column A is the number, column B are the digits, Column C is the correct answer, column G is gyros formula, a yes in the next column indicates an error
A B C G<br>
1 0 1 1 1<br>
2 0 2 4 4<br>
3 0 3 9 9<br>
4 0 4 16 16<br>
5 0 5 25 25<br>
6 0 6 36 36<br>
7 0 7 49 49<br>
8 0 8 64 64<br>
9 0 9 81 81<br>
10 1 0 100 10 Yes
11 1 1 121 31 Yes
12 1 2 144 54 Yes
13 1 3 169 79 Yes
14 1 4 196 196
15 1 5 225 225
16 1 6 256 256
17 1 7 289 289
18 1 8 324 324
19 1 9 361 361
20 2 0 400 40 Yes
21 2 1 441 81 Yes
22 2 2 484 124 Yes
23 2 3 529 169 Yes
24 2 4 576 576
25 2 5 625 625
26 2 6 676 676
27 2 7 729 729
28 2 8 784 784
29 2 9 841 841
30 3 0 900 90 Yes
31 3 1 961 151 Yes
32 3 2 1024 214 Yes
33 3 3 1089 279 Yes
34 3 4 1156 1156<br>
35 3 5 1225 1225<br>
36 3 6 1296 1296<br>
37 3 7 1369 1369<br>
38 3 8 1444 1444<br>
39 3 9 1521 1521<br>
40 4 0 1600 160 Yes
41 4 1 1681 241 Yes
42 4 2 1764 324 Yes
43 4 3 1849 409 Yes
44 4 4 1936 1936<br>
45 4 5 2025 2025<br>
46 4 6 2116 2116<br>
47 4 7 2209 2209<br>
48 4 8 2304 2304<br>
49 4 9 2401 2401<br>
50 5 0 2500 250 Yes
51 5 1 2601 351 Yes
52 5 2 2704 454 Yes
53 5 3 2809 559 Yes
54 5 4 2916 2916<br>
55 5 5 3025 3025<br>
56 5 6 3136 3136<br>
57 5 7 3249 3249<br>
58 5 8 3364 3364<br>
59 5 9 3481 3481<br>
60 6 0 3600 360 Yes
61 6 1 3721 481 Yes
62 6 2 3844 604 Yes
63 6 3 3969 729 Yes
64 6 4 4096 4096<br>
65 6 5 4225 4225<br>
66 6 6 4356 4356<br>
67 6 7 4489 4489<br>
68 6 8 4624 4624<br>
69 6 9 4761 4761<br>
70 7 0 4900 490 Yes
71 7 1 5041 631 Yes
72 7 2 5184 774 Yes
73 7 3 5329 919 Yes
74 7 4 5476 5476<br>
75 7 5 5625 5625<br>
76 7 6 5776 5776<br>
77 7 7 5929 5929<br>
78 7 8 6084 6084<br>
79 7 9 6241 6241<br>
80 8 0 6400 640 Yes
81 8 1 6561 801 Yes
82 8 2 6724 964 Yes
83 8 3 6889 1129 Yes
84 8 4 7056 7056<br>
85 8 5 7225 7225<br>
86 8 6 7396 7396<br>
87 8 7 7569 7569<br>
88 8 8 7744 7744<br>
89 8 9 7921 7921<br>
90 9 0 8100 810 Yes
91 9 1 8281 991 Yes
92 9 2 8464 1174 Yes
93 9 3 8649 1359 Yes
94 9 4 8836 8836<br>
95 9 5 9025 9025<br>
96 9 6 9216 9216<br>
97 9 7 9409 9409<br>
98 9 8 9604 9604<br>
99 9 9 9801 9801<br>
100 10 0 10000 1000 Yes
101 10 1 10201 1201 Yes
102 10 2 10404 1404 Yes
103 10 3 10609 1609 Yes
104 10 4 10816 10816<br>
105 10 5 11025 11025<br>
106 10 6 11236 11236<br>
107 10 7 11449 11449<br>
108 10 8 11664 11664<br>
109 10 9 11881 11881<br>
110 11 0 12100 1210 Yes
111 11 1 12321 1431 Yes
112 11 2 12544 1654 Yes
113 11 3 12769 1879 Yes
114 11 4 12996 12996<br>
115 11 5 13225 13225<br>
116 11 6 13456 13456<br>
117 11 7 13689 13689<br>
118 11 8 13924 13924<br>
119 11 9 14161 14161<br>
120 12 0 14400 1440 Yes
121 12 1 14641 1681 Yes
122 12 2 14884 1924 Yes
123 12 3 15129 2169 Yes
124 12 4 15376 15376<br>
125 12 5 15625 15625<br>
126 12 6 15876 15876<br>
127 12 7 16129 16129<br>
128 12 8 16384 16384</p>
<p>Ouch, it kinda sucks having your work ripped apart on CC :(</p>
<p>foiling parts of a multiplication is a common way people will approach mental multiplication problems, and there's many other "tricks" as well - except when doing mental arithmetic one should think algebraicly and not algorithmically or one will screw it up as seen here (and if thinking algebraicly you certainly wouldn't even consider foiling a trick)</p>
<p>I don't really understand how people could think their two-line arithmetic derivations are mathematically original
gyros: it's really cool that you're into this sort of thing, but the purpose of mathematical discovery is usually to synthesize and consolidate, instead of to make an empirical analysis and decide that it's really cool - you should have tried to understand why your little formula must work. We've all been saying your thing is trivial, but actually the purpose of math is to realize why everything is trivial (once you understand it deeply enough)</p>
<p>Now, what will the adcoms say? ;)
Ahhh, don't worry, maybe they won't even bother checking it.</p>
<p>Still sort of amusing, sorry :)</p>
<p>OH YES 12 squared works
I forgot
if you have a number that is single digit when squared, you add a 0 before it
so OWNED
104 + 40
I forgot to add this but
OWNED
I put it on the app though so :). ANd my formula works so again
OWNED
12^2 = 104 + 2 * 1 * 2 plus a 0.
*waits for someone to disprove the new one.
Oh crap now that I think about it I dont remember mentioning it on the app. Oh well hopefully they will understand it. Maybe I should send a note to them or something... can i even do this?</p>
<p>uh... lol
yes, foil works in any situation, if done properly.</p>
<p>But foil requires more work. You have to think of 2 numbers and do an extra addition problem. This is easier. it also works in any situation if done properly.</p>
<p>Um buddy.. ur gonna get "owned" on admissions. I would work on my other apps fast...</p>