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Topic: Positive number

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Negative number

Algebraic number

Rational number

Real number

Irrational number

Real number

	Rational number - Wikipedia, the free encyclopedia
		In mathematics, a rational number (or informally fraction) is a ratio or quotient of two integers, usually written as the vulgar fraction a/b, where b is not zero.
		The decimal expansion of a rational number is eventually periodic (in the case of a finite expansion the zeroes which implicitly follow it form the periodic part).
		The rational numbers are an important example of a space which is not locally compact.
	en.wikipedia.org /wiki/Rational_number (684 words)

	Negative and non-negative numbers - Wikipedia, the free encyclopedia
		Multiplication of a negative number by a positive number yields a negative result: (−2) × 3 = −6.
		This is the earliest known mention of negative numbers in the East, the first indication in a western work was in the 3rd century in Greece.
		As recently as the 18th century, the Swiss mathematician Leonhard Euler believed that negative numbers were greater than infinity, and it was common practice to ignore any negative results returned by equations on the assumption that they were meaningless.
	en.wikipedia.org /wiki/Negative_and_non-negative_numbers (1212 words)

	Square root - Wikipedia, the free encyclopedia
		For a positive real number, the two square roots are the principle square root and the negative square root.
		For negative real numbers, the concept of imaginary and complex numbers has been developed to provide a mathematical framework to deal with the results.
		Square roots of positive integers are often irrational numbers, i.e., numbers not expressible as a quotient of two integers.
	en.wikipedia.org /wiki/Square_root (1170 words)

	Encyclopedia: Real number
		Real numbers may be rational or irrational; algebraic or transcendental; and positive, negative, or zero.
		In mathematics, an algebraic number relative to a field F is any element x of a given field K containing F such that x is a solution of a polynomial equation of the form anxn + an−1xn−1 + ··· + a1x + a0 = 0 where n is a positive integer called the degree...
		A floating-point number is a digital representation for a number in a certain subset of the rational numbers, and is often used to approximate an arbitrary real number on a computer.
	www.nationmaster.com /encyclopedia/real-number (5582 words)

	Negative and non-negative numbers : Positive number (Site not responding. Last check: 2007-09-06)
		A signed number is a number which has either a positive or negative sign (or in the case of zero, neither).
		Zero isn't a positive number, though in computing zero is sometimes treated as though it were a positive number (due to the way that numbers are typically represented).
		On a computer, the sign of a number (whether it is positive or negative) is usually expressed using the left-most bit.
	www.termsdefined.net /po/positive-number.html (1067 words)

	Positive and negative numbers
		The sign of a number refers to whether the number is positive or negative, for example, the sign of -3.2 is negative, and the sign of 442 is positive.
		Number coordinates are pairs of numbers that are used to determine points in a grid, relative to a special point called the origin.
		The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same.
	www.mathleague.com /help/posandneg/posandneg.htm (1681 words)

	Integers
		Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5,...
		The number of units a number is from zero on the number line.
		If the number of negative integers counted in step 1 is even, the product is just the product from step 2, if the number of negative integers is odd, the product is the opposite of the product in step 2 (give the product in step 2 a negative sign).
	www.mathleague.com /help/integers/integers.htm (1525 words)

	Nick's Mathematical Puzzles: Solution 92
		Hence the number of solutions of this equation is equal to the number of positive odd divisors of n.
		The total number of representations of n is therefore twice the number of positive odd divisors of n.
		That is, the number of ways in which n may be expressed as a sum of one or more consecutive positive integers is equal to the number of positive odd divisors of n.
	www.qbyte.org /puzzles/p092s.html (758 words)

	Negative and non-negative numbers - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-09-06)
		Nevertheless, Ancient India is then credited with the earliest known use and legitimization of negative numbers in mathematics after the era of the Indus Valley peoples, in Brahmagupta's BrahmaSphuta-Sidd'hanta [628], an Indian mathematical text.
		In Brahmagupta's work, it appears as if negative numbers evolved from a need to represent negative asset or debts.
		European mathematicians, for the most part, resisted the concept of negative numbers until the 17th century.
	www.sevenhills.us /project/wikipedia/index.php/Negative_number (1127 words)

	Mathematical Number Types and Systems [encyclopedia] (Site not responding. Last check: 2007-09-06)
		Every rational number can be represented as a repeating or periodic decimal— that is, as a number in the decimal notation, which after a certain point consists of the infinite repetition of a finite block of digits.
		Similarly, the ratio of the circumference to the diameter of a circle is not a rational number.
		To represent the complex number a + bi geometrically, the x-axis is used as the axis of the real number a, and the y-axis serves as the axis of the pure imaginary bi; the complex number, therefore, corresponds to the point P with the rectangular coordinates a and b.
	kosmoi.com /Mathematics/Number (1606 words)

	Representation of numbers
		Almost without fail, numbers are represented by two voltage levels which can represent a one or a zero (an interesting exception to this rule is the new memory device recently announced by Intel which uses one of four possible voltage levels, thereby increasing the amount of information that can be stored in a given space).
		Note that this representationis easily extended to represent all positive numbers by having the digits to the left of the decimal point represent the integer part, and the digits to the right representing the fractional part.
		Signed binary fractions are easily extended to include all numbers by representing the number to the left of the decimal point as a 2's complement integer, and the number to the right of the decimal point as a positive fraction.
	www.swarthmore.edu /NatSci/echeeve1/Ref/BinaryMath/NumSys.html (2515 words)

	Principal square root of positive real number
		The positive square root of a positive real number is called a principal square root.
		In common usage, the square root of a positive real number is taken as the principal square root.
		This is why in school, the square root of, say, 4 is taken as +2.
	www.mathpath.org /concepts/principal.square.root.htm (270 words)

	MathSteps: Grade 6: Negative Numbers: What Is It?
		A positive number means a move to the right on the number line, while a negative number means a move to the left.
		When subtracting with negative numbers on a number line, the subtraction sign means to go in the opposite direction of the directed distance that follows.
		Thus, when the dividend and divisor are either both positive or both negative, the quotient is positive, and when one is positive and the other negative, the quotient is negative.
	www.eduplace.com /math/mathsteps/6/b (588 words)

	Numerology: Soul Urge Number - positive/ negative traits Heart's desire
		This number is made up from the vowels (a, e, i, o and u) in your full birth name just as it is recorded on your birth certificate.The sum of all of these letter, converted to numbers, and reduced to a single number or a master number is your Soul Urge.
		With a number 7 Soul Urge you are very fond of reading, and retreating to periods of being alone and away from the disruptions of the outer world.
		This number is not one that is giving in a material or a practical sense, but rather one who desires to help mankind with a more abstract commodity such as religion, spiritualism, occult studies, or even psychic abilities.
	numerology.findyourfate.com /soulurge-number.htm (2336 words)

	ADDITION AND SUBTRACTION OF REAL NUMBERS-Chapter 1 Section 4 (Site not responding. Last check: 2007-09-06)
		A positive number represents a distance to the right on the number line, starting from zero (zero is also called the origin since it is the starting point).
		We view a negative number as a displacement to the left on the number line, so we follow the same procedure as before but when we add a negative number we take that many steps to the left instead of the right.
		Subtraction is just the opposite: Subtraction of a positive number moves to the left, and subtracting a negative moves to the right.
	www.rose.edu /faculty/gjackson/elealg/each1-4.htm (568 words)

	ipedia.com: Negative and non-negative numbers Article (Site not responding. Last check: 2007-09-06)
		Note that some numbers are neither negative nor non-negative, for example the imaginary unit i.
		Zero is not a positive number, though in computing zero is sometimes treated as though it were a positive number (due to the way that numbers are typically represented).
		It is possible to define a function sgn(x) on the real numbers which is 1 for positive numbers, -1 for negative numbers and 0 for zero (sometimes called the signum function):
	www.ipedia.com /negative_and_non_negative_numbers.html (938 words)

	Numbers - Signed Integers - In Depth (Site not responding. Last check: 2007-09-06)
		An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.
		The arrows on each end of the number line show us that the line stretches to infinity in both the negative and positive direction.
		Every number on the number line also has an absolute value, which simply means how far that number is from zero.
	www.math.com /school/subject1/lessons/S1U1L10DP.html (377 words)

	Houghton Mifflin Mathematics Grade 6: Chapter 5: Operations With Integers: What Is It?
		When adding a positive and a negative number, you can tell whether the sum is positive or negative by using the number line to visualize which number is farther from zero.
		When subtracting with negative numbers on a number line, the subtraction sign means to go in the opposite direction of the sign that follows.
		Thus, when the dividend and divisor are both positive or both negative, the quotient is positive, and when one is positive and the other negative, the quotient is negative.
	www.eduplace.com /math/mhm/6/05 (556 words)

	Numbers - Adding and Subtracting Integers - In Depth (Site not responding. Last check: 2007-09-06)
		The negative of a negative is the opposite positive number.
		If you start at positive four on the number line and move seven units to the right, you end up at positive eleven.
		If you start at positive five on the real number line and move eight units to the left, you end up at negative three.
	www.math.com /school/subject1/lessons/S1U1L11DP.html (398 words)

	Arithmetic and Graphing
		Addition by a positive number, c, shifts the number line in the positive direction by c units; the standard mathematical term for this is a translation.
		Multiplication by a positive number, c > 1, stretches the number line (away from the origin) by a factor of c.
		Multiplication by -1 flips the number line; the standard mathematical term for this is a reflection.
	campus.northpark.edu /math/PreCalculus/Functions/Graphing/Arithmetic (821 words)

	[No title] (Site not responding. Last check: 2007-09-06)
		On a number line, the negative numbers are to the left and the positive numbers are to the right.
		Positive multiplied or divided by a positive is a positive
		Positive multiplied or divided by a negative is a negative.
	www.mtsu.edu /~mhiggs/070dir/91.html (252 words)

	Adding and Subtracting, Positive and Negative, Numbers: Frame 4 (Site not responding. Last check: 2007-09-06)
		But now the real number line also has negative numbers to the left of 0, getting more negative as we walk to the left.
		Since we usually deal with positive numbers, assuming that a number is positive makes life simpler for us.
		Often, when we do this, we put the plus sign and the number inside parentheses to show that they go together; they are one number, a postive number.
	www.is.wayne.edu /olmt/addsub/addsub4.htm (340 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-09-06)
		Date: 8/9/96 at 20:37:45 From: terry holman Subject: Manipulating Positive and Negative Numbers I am having a little trouble understanding the rules for adding, subtracting, multiplying, and dividing positive and negative numbers.
		When the negative number is first it gets a little tricky, but you can figure it out: -1 + 3 = 3 + -1 = 3 - 1 = 2 If the negative number is bigger, the final answer will be negative.
		Now, the first thing to remember for multiplication is that if you multiply a positive number by a negative number, you get a negative number.
	mathforum.org /library/drmath/view/57864.html (525 words)

	All Elementary Mathematics - Study Guide - Algebra - Operations with negative and positive numbers... (Site not responding. Last check: 2007-09-06)
		2) at addition of two numbers with different signs their absolute values are subtracted (the smaller from the greater) and a sign of a number, having a greater absolute value is chosen.
		Multiplication: at multiplication of two numbers their absolute values are multiplied, and a product has the sign “ + ”, if signs of factors are the same, and “ – “, if the signs are different.
		Division: at division of two numbers the first absolute value is divided by the second and a quotient has the sign “ + ”, if signs of dividend and divisor are the same, and “ – “, if they are different.
	www.bymath.com /studyguide/alg/sec/alg2.html (377 words)

	Integers
		The arrows on each end of the number line mean that you can keep counting in either direction.
		Subtracting a negative number is just like adding a positive number.
		multiply or divide a positive number with a negative number,
	www.factmonster.com /ipka/A0876848.html (293 words)

	Relevance of the Number of Positive Bottles in Determining Clinical Significance of Coagulase-Negative Staphylococci in ...
		Relevance of the Number of Positive Bottles in Determining Clinical Significance of Coagulase-Negative Staphylococci in Blood Cultures -- Mirrett et al.
		The clinical significance of positive blood cultures: a comprehensive analysis of 500 episodes of bacteremia and fungemia in adults.
		The clinical significance of positive blood cultures in the 1990s: a prospective comprehensive evaluation of the microbiology, epidemiology, and outcome of bacteremia and fungemia in adults.
	jcm.asm.org /cgi/content/full/39/9/3279 (1890 words)

	DevGuru JavaScript OBJECT: Number
		The Number object is an object wrapper for primitive numeric values, allowing for their manipulation.
		Numbers larger than this are represented as infinity.
		The Number object also inherits the watch and unwatch methods from the Object object.
	www.devguru.com /Technologies/ecmascript/quickref/number.html (361 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)

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