document.write( "Question 211404This question is from textbook California Algebra 1
\n" ); document.write( ": Could you help me Determine wheather each set of numbers is closed under the indecated operation\r
\n" ); document.write( "\n" ); document.write( "Irrational,addition
\n" ); document.write( "natural,addition
\n" ); document.write( "irrational,multiplcation
\n" ); document.write( "integers,subtraction
\n" ); document.write( "rational, multiplcation \n" ); document.write( "

Algebra.Com's Answer #159784 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "Could you help me Determine whether each set of \r\n" );
document.write( "numbers is closed under the indicated operation\r\n" );
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document.write( "Irrational,addition\r\n" );
document.write( "\r\n" );
document.write( "The question is \r\n" );
document.write( "\r\n" );
document.write( "\"Can you add your way out of the set of\r\n" );
document.write( "irrational numbers?  \r\n" );
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document.write( "The answer is \"Yes you can.\"  \r\n" );
document.write( "\r\n" );
document.write( " is irrational and so is \r\n" );
document.write( "but if you add them you get , which is\r\n" );
document.write( "rational, so you have added your way out of \r\n" );
document.write( "the irrational numbers. That's means it's NOT \r\n" );
document.write( "CLOSED.   \r\n" );
document.write( "-----------------------\r\n" );
document.write( "natural,addition\r\n" );
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document.write( "The question is \r\n" );
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document.write( "\"Can you add your way out of the set of\r\n" );
document.write( "natural numbers?  \r\n" );
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document.write( "The answer is \"No you can't\".  If you add any two \r\n" );
document.write( "natural numbers you always get another natural number.  \r\n" );
document.write( "That means it is CLOSED.\r\n" );
document.write( "-----------------------\r\n" );
document.write( "irrational,multiplcation\r\n" );
document.write( "\r\n" );
document.write( "The question is \r\n" );
document.write( "\r\n" );
document.write( "\"Can you multiply your way out of the set of\r\n" );
document.write( "irrational numbers?  \r\n" );
document.write( "\r\n" );
document.write( "The answer is \"Yes you can.\"  \r\n" );
document.write( "\r\n" );
document.write( " is irrational and so is \r\n" );
document.write( "but if you multiply them you get , which is \r\n" );
document.write( "rational, so you have muliplied your way out of the \r\n" );
document.write( "irrational numbers. That's means it's NOT CLOSED.  \r\n" );
document.write( "-----------------------\r\n" );
document.write( "integers,subtraction\r\n" );
document.write( "\r\n" );
document.write( "The question is \r\n" );
document.write( "\r\n" );
document.write( "\"Can you subtract your way out of the set of\r\n" );
document.write( "integers?  \r\n" );
document.write( "\r\n" );
document.write( "The answer is \"No you can't\".  If you subtract any two \r\n" );
document.write( "integers you always get another integer.  \r\n" );
document.write( "That means it is CLOSED.\r\n" );
document.write( "\r\n" );
document.write( "-----------------------\r\n" );
document.write( "rational, multiplcation\r\n" );
document.write( "\r\n" );
document.write( "The question is \r\n" );
document.write( "\r\n" );
document.write( "\"Can you multiply your way out of the set of\r\n" );
document.write( "rational numbers?  \r\n" );
document.write( "\r\n" );
document.write( "The answer is \"No you can't\".  If you multiply any two \r\n" );
document.write( "rational numbers you always get another rational number.  \r\n" );
document.write( "That means it is CLOSED.\r\n" );
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document.write( "Edwin

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