document.write( "Question 1156837: Hello my name is Karla I am from the 9th grade I am really stuck on this problem. \r
\n" ); document.write( "\n" ); document.write( "What is the next smallest integer that is a perfect cube less than -1?\r
\n" ); document.write( "\n" ); document.write( "I have tried looking up the answer but I have yet to find what I am looking for. If you can please help me find out the answer. And if you do would you please explain it to me because I am quite confused on it. Thank you to whomever helps me on this math work
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Algebra.Com's Answer #779586 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Hello Karla.\r
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document.write( "There is NO \"next smallest integer that is a perfect cube less than -1\".\r\n" );
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document.write( "It sounds strange, but let's look together.\r\n" );
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document.write( "There is -8 = .  It is an integer, a perfect cube and less than -1.\r\n" );
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document.write( "There is -27 = .  It is an integer, a perfect cube and less than -1 and less than -8.\r\n" );
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document.write( "There is -64 = .  It is an integer, a perfect cube and less than -1 and less than -27.\r\n" );
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document.write( "There is -125 = .  It is an integer, a perfect cube and less than -1 and less than -64.\r\n" );
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document.write( "       And so on . . . . . . . .\r\n" );
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document.write( "For any such example and for any such given integer, there is another integer, which is a perfect cube \r\n" );
document.write( "and less than -1 and less than the given integer.\r\n" );
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document.write( "It exactly means that THERE IS NO the smallest such an integer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Hi, Karla, hello again.\r
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\n" ); document.write( "\n" ); document.write( "I reconsidered my previous answer, which is above.\r
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document.write( "I looked in GOOGLE, and Google explained me that\r\n" );
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document.write( "    - the term \"next largest\" means \"the second after the largest\", i.e., in an ordered list in the descending order, \"the second from the top\".\r\n" );
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document.write( "    - \"next smallest\" means \"the next greater than the smallest\", i.e., in an ordered list in the descending order, \"the second from the bottom\".\r\n" );
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document.write( "Now, if you apply this knowledge to your problem, you will see that in this problem, there is NO such a number, \r\n" );
document.write( "which is \"next smallest integer that is a perfect cube less than -1\".\r\n" );
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document.write( "There is no such a number, simply because there is no \"bottom\" in this (ordered) list.\r\n" );
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document.write( "There is  \"next largest\" in this problem, and it is -8 = (-2)^3,\r\n" );
document.write( "but there is no \"next smallest\" in this case.\r\n" );
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document.write( "This prose was in use, probably, at the Shakespearean time and at the era of steam and iron.\r\n" );
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document.write( "In modern life, nobody uses this language.\r\n" );
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