document.write( "Question 99564: Give an example of a number:
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\n" ); document.write( "\n" ); document.write( " b) that is a real number but not a rational number.
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Algebra.Com's Answer #72424 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Give an example of a number:
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document.write( "The integers are {...-3,-2,-1, 0, 1, 2, 3,...}\r\n" );
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document.write( "The whole numbers are {0, 1, 2, 3,...}\r\n" );
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document.write( "So any of the negative integers\r\n" );
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document.write( "{...-3,-2,-1}\r\n" );
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document.write( "would be an integer but not a whole number.\r\n" );
document.write( "So -1 would be the simplest example.\r\n" );
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\n" ); document.write( "b) that is a real number but not a rational number.
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document.write( "Any non-terminating decimal which does not eventually repeat\r\n" );
document.write( "one digit or block of digits forever is a real number which is\r\n" );
document.write( "not a rational number. For example, this non-terminating,\r\n" );
document.write( "non-repeating decimal:\r\n" );
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document.write( "1.101001000100001000001000000100000001···\r\n" );
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document.write( "is an example or a real number which is not rational.  \r\n" );
document.write( "Other examples are \"sqrt%282%29\" and \"pi\" for their \r\n" );
document.write( "decimal forms can be shown to be non-terminating as\r\n" );
document.write( "well as non-repeating.\r\n" );
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document.write( "Edwin
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