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	Real number article - Real number mathematics numbers one-to-one correspondence points line number - What-Means.com (Site not responding. Last check: 2007-10-22)
		In mathematics, the real numbers are intuitively defined as numbers that are in one-to-one correspondence with the points on an infinite line—the number line.
		Negative numbers began to be generally accepted in the 1600s and were invented by Muslim mathematicians.
		Occasionally, formal elements +∞ and -∞ are added to the reals to form the extended real number line, a compact space which is not a field but retains many of the properties of the real numbers.
	www.what-means.com /encyclopedia/Real_number (1981 words)

	Extended real number line - Wikipedia, the free encyclopedia
		The extended real number line is obtained from the real number line R by adding two elements: +∞ and −∞ (which are not considered to be real numbers).
		This limiting behaviour is similar to the limit of a function at a real number, except that there is no "number" to which x is approaching.
		R is a compact Hausdorff space homeomorphic to the unit interval [0, 1].
	en.wikipedia.org /wiki/Extended_real_number_line (817 words)

	Positive and negative numbers
		The number line is a line labeled with positive and negative numbers in increasing order from left to right, that extends in both directions.
		The number of units a number is from zero on the number line.
		Number coordinates are pairs of numbers that are used to determine points in a grid, relative to a special point called the origin.
	www.mathleague.com /help/posandneg/posandneg.htm (1681 words)

	Extended real number line - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-10-22)
		is obtained from the real number line R by adding two elements: +∞ and −∞ (which are not considered to be real numbers).
		The extended real number line turns into a totally ordered set by defining −∞ ≤ a ≤ +∞ for all a.
		R is a compact Hausdorff space homeomorphic to the unit interval.
	encyclopedia.worldsearch.com /extended_real_number_line.htm (515 words)

	Negative Number (Site not responding. Last check: 2007-10-22)
		Number line is a horizontal line composed of an origin and tick marks (units) of equal distance.
		The origin divides the number line into two regions: the region to the right of the origin is the positive side; the region to the left of the origin is the negative side.
		For instance, the number -5 is graphed and labeled as the point P. Point P is located 5 units from the left of the origin O. -5 is the coordinate of P; P is the graph of -5.
	www.gomath.com /htdocs/lesson/negative_lesson1.htm (215 words)

	Howstuffworks "What do digits in phone numbers mean?"
		The telephone number that you dial to call somebody is basically an address, similar to the IP address of a computer or the street address of your home.
		Line number - This is the number assigned at the switch level to the phone line that you are using.
		Since the number is assigned to the line and not to the phone itself, you can easily change phones or add more phones to the same line.
	www.howstuffworks.com /question659.htm (761 words)

	Locating Rational Numbers On the Number Line (Site not responding. Last check: 2007-10-22)
		This lesson is about how to locate the rational number on the number line which is a fractional part of the next integer.
		Divide the line segment between k and the k+1 position into n equal parts, which can always be done by straight edge and compass construction, by marking off n equal parts on a y-axis and marking off the length of the line segment on the x-axis.
		For negative rational numbers teach the same strategy and instruct the student that this rational number is on the left side of the zero number.
	www.iit.edu /~smile/ma8720.html (404 words)

	Identify Mixed Fractions
		You are to write the fraction in mixed number form with a whole number, numerator, and denominator.
		The whole numbers in the illustration are 0, 1, 2, and 3.
		Besides looking at the number line, there are other methods can be used to arrive at the answer.
	www.visualfractions.com /MixedFraction.html (215 words)

	Who Can Find the Number On the Number Line?
		Decide based on your class' ability to work in small group the number of children which you would like to have in each group and have markers counted out by the number of members in that group so that each member of a group is writing in the same color.
		Circulate to observe that children are pointing to the correct response on the number line.
		Ask students to circle the count by 2, 5 or 10 numbers on their number line in different colored markers and to predict what numbers would come next in the sequence.
	www.glc.k12.ga.us /BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=12706 (1212 words)

	Representation of Decimals on a Number Line
		To represent a decimal on a number line, divide each segment of the number line into ten equal parts.
		To represent 8.4 on a number line, divide the segment between 8 and 9 into ten equal parts.
		[ Representation of Decimals on a Number Line ]
	www.mathsteacher.com.au /year7/ch06_decimals/02_num/line.htm (260 words)

	MathSteps: Grade 7: Absolute Value: What Is It?
		The number line is not just a way to show distance from zero, it's also a good way to graph absolute value.
		When you graph on the number line, an open dot indicates that the number is not part of the graph.
		When you graph on the number line, a closed dot indicates that the number is part of the graph.
	www.eduplace.com /math/mathsteps/7/b (327 words)

	Education World ® Lesson Plan: Number Line Game
		Each student uses a homemade number line (numbered from -20 to +20, with negative numbers written in red and positive numbers written in fl), a colored clothespin, and a set of 2 or 4 dice.
		The first student who passes the number 20 on the number line is the winner.
		The first student to move his or her clothespin off the number line (on the positive side) is the winner.
	www.education-world.com /a_tsl/archives/04-1/lesson007.shtml (590 words)

	Identify Fractions
		Identify Fractions uses number lines to demonstrate the meaning of numerator and denominator.
		The denominator tells us the total number of equal parts into which the unit is divided.
		The line between the numerator and denominator is known as the fraction bar.
	www.visualfractions.com /EnterFraction.html (130 words)

	More on Fractions
		Number lines can be used to show the solution set to certain problems, especially those with infinite solution sets.
		Number lines are useful to convey such things as x > 2.
		The number of digits in the repeating unit of a nonterminating but repeating decimal fraction is an area of interesting study.
	www.andrews.edu /~calkins/math/webtexts/numb08.htm (1526 words)

	Rename in Higher Terms
		Rename Higher uses number lines to demonstrate how a fraction can be renamed in higher terms.
		The arrow along the second number line is the same distance as the first.
		Although there are more parts in the second number line the parts are smaller, making the two fractions equivalent.
	www.visualfractions.com /RenameHigher.html (192 words)

	Integers
		The number line can be used to represent the set of integers.
		These numbers are to the right of zero on the number line.
		These numbers are to the left of zero on the number line.
	www.mathgoodies.com /lessons/vol5/intro_integers.html (528 words)

	Biology/Chemistry
		First draw the positive side of the number line on the board.
		0, and the negative numbers are to the left of zero.
		When you move in the negative direction on the number line, it does not mean that you are going backwards, but simply that you have changed direction.
	www.iit.edu /~smile/phma0100.htm (496 words)

	PEC: Lesson Plans for Physical Education (Site not responding. Last check: 2007-10-22)
		Give them each a paper number (one team has red numbers and one team has blue numbers) in the correct order so that when you give them out they will be standing in the proper order for a number line.
		When you hold up a number, the teams must go to their area and form that number with their bodies in a standing position.
		The concept of a number line is seen by visual assessment.
	www.pecentral.org /lessonideas/ViewLesson.asp?ID=1281 (500 words)

	Maths Online
		Use these buttons to hide or reveal the numbers (top button) or the smaller increments on the number line.
		Drag the number line by using the invisible button below the number line.
		Identify and estimate decimal fractions on a number line.
	www.mathsonline.co.uk /freesite_tour/resource/whiteboard/decimals/dec_notes.html (133 words)

	The Real Number System (Site not responding. Last check: 2007-10-22)
		Since the Real Numbers were invented to account for all possible measurements along a line, it is not surprising that we can understand a lot about them in terms of a picture of such a line.
		The key points are the Origin (which corresponds to the number 0), and the point one unit away in the "positive" direction (which corresponds to the number 1).
		The numbers corresponding to these positions are called "irrational" (because they are not ratios of integers).
	www.langara.bc.ca /mathstats/resource/onWeb/precalculus/reals/numline.htm (263 words)

	The Chisholm Trail Bookstore : Books in Oklahoma
		The spine is torn at the rear hinge.
		The book shows very lit tle wear with a light blue line one the bottom edge of the text block which may or may not be a remainder line.
		The book is lightly worn with a fl remainder line extending from the bottom edge of th e text block to the front and rear cover.
	www.ctbooksstore.com /reportg.html (14289 words)

	Inequalities. Set Notation etc.
		If we draw a line, designate a point on the line to be zero, and choose a scale, then every point on the line corresponds uniquely to a real number, and vice versa:
		A bigger number will always be found to the right of a smaller number.
		The number -2 is excluded from the set, so you see an "empty bubble"; the number 5 is included in the set, so the bubble at 5 is "filled in."
	www.sosmath.com /algebra/inequalities/ineq02/ineq02.html (657 words)

	Counting and Place Value
		Students will use number flips to show the number symbol that corresponds with the number of objects shown on the board.
		Copy the numbers showing on the boards on the strips of paper, putting the ones on the right side of the fold and the tens on the left, and underline each number as follows: 00, 01, 02 and so on.
		They will be able to read and/or write the numbers from 00 to 99, indicating that 1 ten and 1 is the same as eleven, 1 ten and 2 is the same as twelve, etc. Conclusions: The procedure described can be extended to the hundreds, thousands, etc. for higher grade levels.
	www.iit.edu /~smile/ma9405.html (710 words)

	Physics and Astronomy Forums - Number Line
		In the first line you have one two, thus the second line is 12 (one two).
		In the second line you have one one and one two, thus the third line is 1112 (one one one two).
		If you only know the numbers in the series to 2 decimal places though, first year undergraduate error analysis will tell you that you cant know the 6th term to more than 5 significant figures.
	www.physlink.com /Community/Forums/printthread.cfm?Forum=17&Topic=967 (971 words)

	Rename in Lowest Terms
		The largest number that divides evenly into both 6 and 9 is 3.
		After an equivalent fraction in lowest terms is entered, the number line for the second fraction will appear.
		Although there are less parts in the second number line, the parts are larger, making the two fractions equivalent.
	visualfractions.com /RenameLowest.html (229 words)

	FCC WTB: Wireless Local Number Portability (Site not responding. Last check: 2007-10-22)
		Wireless consumers who wish to port their phone number must contact the prospective new carrier, who will start the process of porting by contacting the consumer's current carrier.
		That is, within the largest 100 MSAs (link to top 100 list, MSA counties list), customers have been able to port their numbers between wireless carriers, and to and from wireline carriers as well.
		However, consumers are still legally bound by their existing service agreements and should be familiar with any fees they may incur for canceling an existing contract before deciding to port a number to a new carrier.
	wireless.fcc.gov /wlnp (296 words)

	Math 1010 on-line - The Real Number Line
		A positive number x corresponds to a point x units away from the origin to the right, and a negative number -x corresponds to a point on the line x units away from the origin to the left.
		We said that the number corresponds to a point on the real number line, but actually there is no useful distinction between a real number and its corresponding point on the real number line.
		Hence we may also say that a real number is on the real line, and a point on the real number line is a real number.
	www.math.utah.edu /online/1010/line (488 words)

	Science News Online - Ivars Peterson's MathLand - 11/16/96 (Site not responding. Last check: 2007-10-22)
		Number sequences present all sorts of intriguing puzzles and patterns.
		Consider, for example, the sequence of counting numbers: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16.
		Notice that the numbers down the left side, 1 2 6 24 120, are the factorial numbers: 1 (1 x 2) (1 x 2 x 3) (1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5) or, in general, (1 x 2 x 3 x … x n).
	www.sciencenews.org /pages/sn_arch/11_16_96/mathland.htm (582 words)

	Number line (Site not responding. Last check: 2007-10-22)
		It is often used as an aid in teaching simple addition or subtraction, especially involving negative numbers.
		The number line is most often represented as being horizontal (though it need not be so).
		Customarily, positive numbers lie on the right side of zero, and negative numbers lie on the left side of zero (though it need not be so).
	www.sciencedaily.com /encyclopedia/number_line (142 words)

	E-Example 4.5.2: Learning About Number Relationships (Site not responding. Last check: 2007-10-22)
		A major learning goal for students in the primary grades is to develop an understanding of properties of, and relationships among, numbers.
		In this first part, Displaying Number Patterns, the same patterns are displayed on a calculator and on a hundred board simultaneously.
		Gradually, the students recognized that when they reached their first three-digit number, whether it was 100 or another number, their task was completed.
	standards.nctm.org /document/eexamples/chap4/4.5 (857 words)

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