22015, 1/1101 ȸ¿ø°¡ÀÔ  ·Î±×ÀΠ 
   BlueWhale
   ¸ÞÀÏ ¹¹¶ó°í º¸³»¼Ì³Ä´Â ºÐÀÌ À־...

http://www.hackerschool.org/HS_Boards/zboard.php?AllArticle=true&no=20681 [º¹»ç]


Dear Dr.Auroux

This is international student who goes to high school in California.
Recently there was an argument with one math problem in Korea.
Which is 48/2(9+3).
There are two kinds of group of people who argue that the answer is 288 and 2.
In my opinion the answer is 2.

Since 2(9+3) = {2*(9+3)}, since i get rid of mutiplication sign, i had to get rid of parentheses.
¡Å48/2(9+3) ¡Á 48/2*12

¡ñ48/2(9+3) = 48/{2(9+3)}

¡Å48/2(9+3) = 2 , 48/2(9+3) ¡Á 288
This is how i got 2.
But, how People think is 48/2*(9+3), and they have to divide them first and multiply the 12.
This is how arguement started and I wanted a clear conclusion, so I research people who can give me a clear conclusion, and I was able to find you.
I would really appreciate for your time and reply.
Thank you.

Sincerely,
Jun Baik

À̶ó°í ¾îÁ¦ º¸³Â´Âµ¥ ¿À´Ã ´äÀåÀÌ

Dear Jun,

There isn't a clear conclusion. The expresison "48/2(9+3)" is ambiguous and one should not write this kind of formula without further clarification by adding more parentheses. Both interpretations are valid.

Denis
À̶ó°í ¿Ô±º¿ä...
Èì... ¹®Á¦°¡ ¾Ö¸Å¸ðÈ£ Çϴٴ±º¿ä... °í·Î ´äÀº 2¿Í 288 µÑ´Ù µÉ¼ö Àִٳ׿ä. Èì... ³ª¶û ³»Ä£±¸¶û ÆäÀ̽º ºÏ¿¡¼­ 1½Ã°£µ¿¾È ¶°µç°Ç ¹¹°¡ µÇ´Â°É±î¿ä ¤Ð¤Ì

  Hit : 8749     Date : 2011/04/26 03:06



    
try1938
¿Í.. ¸ÞÀÏÁÖ¼Òµµ µÉ±î¿ä?!
2011/04/26  
/x7375696e6567 ¹¹ »ç½Ç »ó¼ö¸¦ °¡Áö°í a(b+c) ¿Í°°Àº Ç¥±â¹ýÀ» »ç¿ëÇϴ°ŠºÎÅͰ¡
¹®Á¦¿´´ø ¹®Á¦
2011/04/26  
BlueWhale try1938//À½.. ¸ÞÀÏÁÖ¼Ò¿ä? Á¦¸ÞÀÏÀÌ¿ä? ¾Æ´Ï¸é ±× ±³¼öÀÇ ¸ÞÀÏ¿ä?
/x7375696e6567//±³¼öÀÇ ¸»¿¡ µû¸£¸é È®½ÇÇÑ ´äÀ» À§Çؼ­´Â °ýÈ£°¡ Ãß°¡°¡ µÇ¾ß ÇѴٴµ¥?
2011/04/27  
jz BlueWhale // ÀÌ ±³¼ö°¡ ¸»ÇÑ°Ô /x7375696e6567´ÔÀÌ ¸»ÇѰŶû °°Àº ¸Æ¶ôÀÌÁÒ.. a(b+c) ¿Í °°ÀÌ ¾Ö¸ÅÇÑ Ç¥±âÀÚü°¡ ¹®Á¦ÀÌ´Ï È®½ÇÇÏ°Ô °ýÈ£¸¦ Ãß°¡Ç϶ó´Â°ÅÁÒ. 2011/04/27  
BlueWhale a(b+c)°¡ ¾Ö¸Å¸ðÈ£ ÇѰ͵µ ÀÖÁö¸¸ ³ª´©±â¶ó´Â ºÎÈ£ÀÚü°¡ ¸Å¿ì ¾Ö¸Å¸ðÈ£ÇÑ ºÎÈ£¶ó°í Çϴ±º¿ä ¤¾¤¾ 2011/04/27  
/x7375696e6567 °ýÈ£¸¦ Ãß°¡Çؾߵȴٴ°Ç
¾Æ¸¶ 48/(2(3+9))
ÀÌ·¸°Ô Ãß°¡ ÇØ¾ß µÈ´Ù´Â °É²¨¾ß
±Ùµ¥ ±×·¡µµ ¼ýÀÚ¸¦ a(b+c) ¹æ½ÄÀ¸·Î Ç¥±âÇÏ´Â°Ç À߸øµÆÀ½
a(b+c) °¡ µÈ´Ù°íÇϸé
ab + ac ·Îµµ Ç¥±â°¡ µÅ¾ßÇѴٴ°ǵ¥
Àú±â ½ÄÀ» ¿¹·Îµé¸é 2(9+3)
= 29 + 23 ÀÌ ¼º¸³ ÇØ¾ß µÈ´Ù´Â°ÅÁö
2011/04/27  
/x7375696e6567 ¾²°í³ª´Ï±î ¾öû ÀÌ»óÇϱäÇѵ¥
³»¸»Àº a(b+c) ¶ó°íÇϸé a¿Í b, a ¿Í c¸¦ ºÙ¿©½á¾ß ÇѴٴ¶æ
2011/04/27  
BlueWhale ¼ýÀÚ¸¦ ±×·¸°Ô Ç¥±âÇÏ´Â°Ô À߸ø µÈ°Ç ¾Æ´Ñµ¥;;; ±×Àú °ýÈ£°¡ (48/2)(9+3)À̶ó°í ³ªÅ¸³»°Å³ª 48/2(9+3)À̶ó°í ³ªÅ¸³»¾ß ¸íÈ®ÇÑ ´äÀ» ³»¸±¼ö ÀÖ´Ù´Â°Ô ´Ù¸¦ »ÓÀÌÁö ¤·¤»? 2011/04/27  
/x7375696e6567 ¤·¤µ¤· ¤·¤»
¤»¤»¤»¤»¤»
2011/04/28  
BlueWhale ¾ÆÀ̰í ÂøÇψª¤»¤»¤»¤»¤» 2011/04/28  
BlueWhale ¼ýÀÚ¸¦ ±×·¸°Ô Ç¥±âÇÏ´Â°Ç ±×Àú ºÐ¹è¹ýÄ¢À» »ý°¢Çس»¸é ±×¸® ÀÌ»óÇѰ͵µ ¾Æ´Ï°í ±×Àú ¼ýÀÚ¸¦ abÀÌ·±½ÄÀ¸·Î ³ªÅ¸³»±ä Á» ±×·¸´Ù´Â°Ô ¹®Á¦Áö ¿Ö³Ä¸é 53 ÀÌ·¯¸é ÀÌ°Ç 15°¡ ¾Æ´Ï¶ó 53ÀÌÀÚ³ª? 2011/04/28  
smile_mut ¿ì¿Í! ¾È³çÇϼ¼¿ä Àúµµ CA ¿¡ »ç´Â °íµùÀε¥ ¤»¤»
¾î´À Çб³´Ù´Ï¼¼¿ä?
2011/04/28  
BlueWhale À½... ¤»¤»¤»¤» ¸»¾ÈÇÒ·¡¿ä ±×³É OC³²ºÎ(¹éÀÎõÁö)»ì¾Æ¿ä ¤»¤»¤» 2011/04/28  
try1938
±³¼ö´ÔÀÌ¿ä.¤»¤» ±Ã±Ý.!
2011/04/28  
BlueWhale ±×ºÐÀÇ ¸ÞÀÏÀº Á¦ ¸ÞÀÏÀÌ ¾Æ´Ï±â ¶§¹®¿¡...µå¸±¼ø ¾ø°í ±¸±Û °Ë»öÇØ º¸¼Å¿ä Àú±â À̸§ ´Ù ³ª¿Í ÀÖ³×¿ä ¤¾ 2011/04/29  
smile_mut Àúµµ OC (orange county) ¿¡ »ì¾Æ¿ä. ¤» Àü fullerton ÀÌ¿©¼­ Çѱ¹ÀΠõÁö ¤» 2011/04/29