document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900031>Question 900031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. is negative5 over 6 a whole natural interger irrational rational or real number?<BR>\n" );
document.write( "2.is 39.99 a whole natural interger irrational rational or real number?<BR>\n" );
document.write( "3.square root of 5 a whole natural interger irrational rational or real number?<BR>\n" );
document.write( "4.-80 a whole natural interger irrational rational or real number?<BR>\n" );
document.write( "5.12 over 3 a whole natural interger irrational rational or real number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545766 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the following link will help you find what you want.<BR>\n" );
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document.write( "my answers are shown below:\r<BR>\n" );
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document.write( "1. is negative5 over 6 a whole natural integer irrational rational or real number?<BR>\n" );
document.write( "i believe this is rational because it is a ratio of two integers.<BR>\n" );
document.write( "2.is 39.99 a whole natural integer irrational rational or real number?<BR>\n" );
document.write( "this is a rational number since it can be expressed as a ratio of two integers.  the fractional equivalent would be 3999/100.<BR>\n" );
document.write( "3.square root of 5 a whole natural integer irrational rational or real number?<BR>\n" );
document.write( "square root of 5 is an irrational number because it cannot be expressed as a ratio of two integers other than 5 divided by 1.   division by 1 doesn't count.<BR>\n" );
document.write( "4.-80 a whole natural integer irrational rational or real number?<BR>\n" );
document.write( "-80 is an integer.  it not a whole number or a natural number because neither of those can be negative.<BR>\n" );
document.write( "5.12 over 3 a whole natural integer irrational rational or real number?<BR>\n" );
document.write( "this is actually a rational number because 5.12 can be expressed as a ratio of two integers and that divided by 3 can also be expressed as a ratio of integers.\<BR>\n" );
document.write( "5.12 = 125 / 25 and (128 / 25) / 3 equals 125 / 75.\r<BR>\n" );
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document.write( "definition of a natural number:<BR>\n" );
document.write( "a positive integer or zero.<BR>\n" );
document.write( "some definitions do not include 0.<BR>\n" );
document.write( "other do, such as this one.<BR>\n" );
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document.write( "definition of a whole number:<BR>\n" );
document.write( "Also called counting number. one of the positive integers or zero; any of the numbers (0, 1, 2, 3, …).\r<BR>\n" );
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document.write( "here's another definition that does not include 0 in the set of natural numbers.\r<BR>\n" );
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document.write( "Natural numbers: the counting numbers {1, 2, 3, .... }<BR>\n" );
document.write( "Whole numbers: zero, plus the counting number<BR>\n" );
document.write( "{0, 1, 2, 3, ... }<BR>\n" );
document.write( "Integers: the negative and positive whole numbers<BR>\n" );
document.write( "{... -3, -2, -1, 0, 1, 2, 3, ... }<BR>\n" );
document.write( "Rational numbers: Numbers of the form m/n, where m and n are integers and n is non-zero. (Note: All whole numbers are rational numbers because they can be expressed as themselves over 1, i.e. 5 = 5/1, 0 = 0/1, 1003 = 1003/1)<BR>\n" );
document.write( "Irrational numbers: Numbers which are not rational, and whose decimal representation neither terminates nor repeats (example: PI, sqrt(2) ).<BR>\n" );
document.write( "Real numbers: The set of all rational and irrational numbers.<BR>\n" );
document.write( "Complex numbers: For i^2 = sqrt(-1), all numbers of the form<BR>\n" );
document.write( "a + bi, where a and b are real numbers.\r<BR>\n" );
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document.write( "All natural numbers are whole numbers.<BR>\n" );
document.write( "All whole numbers are integers.<BR>\n" );
document.write( "All integers are rational numbers.<BR>\n" );
document.write( "All rational numbers are real numbers.<BR>\n" );
document.write( "All irrational numbers are real numbers.<BR>\n" );
document.write( "All real numbers are complex numbers (i.e. can be expressed as \"a + 0i\".\r<BR>\n" );
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document.write( "All irrational numbers are real numbers.<BR>\n" );
document.write( "All  </SPAN>\n" );
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