definition of real numbers


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"Definition of real numbers" Introduction


From   Wikipedia , TutorVista
Wikipedia
definition of real numbers : Definition. Main article: Construction of the real numbers. [edit...   More from Wikipedia

Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line,..
Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers..

"Definition of real numbers" Videos


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  NY Regents 2009 Released Test Questions 22, 23, 24, and 25. Linear inequalities solution sets, definition of real number properties, and combinatorics. ... NY Regents Math Jan 2009 22 23 24 25 linear inequality solution set biconditional definition properties real numbers associativity combinations arrangements
  . Returning to the circle example: a circle can be thought of as being drawn as the end-point on the minute hand of a clock, thus it is 1-dimensional. To construct the plane one needs two steps: drag a point to construct the real numbers, then drag the real numbers to produce the plane. Consider the above inductive construction from a practical point of view -- ie: with concrete objects that one can play with in one's hands. Start with a point, drag it to get a line. Drag a line to get a ...

"Definition of real numbers" Questions & Answers


From   Yahoo Answers
Question : Googled it..but lot of confusion and variance... so juz help me with the correct and precise definition....

Answer : any number that is not imaginary. That means it does not have an i in it. all rational and irrational numbers are real. an example of an imaginary number is the root of parabola that does not cross the x-axis, like the square root of -2. my bad, i originally put square root of 2...   More from Yahoo Answers

Question : definition of integers,rational numbers, whole numbers etc..

Answer : Whole numbers are the numbers 0, 1, 2, 3, etc. A subset of whole numbers is "natural numbers," which are all the whole numbers except zero. Integers are all the whole numbers and also their negatives ( -1, -2, -3, etc.) Rational numbers are all the integers and also other numbers that can be expressed as a fraction. Rational numbers can also be expressed as a decimal that either "terminates or repeats," like 4/3 = 1.333 with 3 repeating, or 1/2 = 0.5 Real Numbers are all the rational numbers and also irrational numbers such as square root of 2, or pi --- numbers that have a place on the number line, yet can't be expressed as a fraction. Irrational numbers, when expressed as decimals, neither terminate nor repeat. Pi, for instance, is 3.1415926... and going on forever with no repeating pattern. So that's the "real number system." Beyond real numbers are complex numbers, which include all the real numbers, as well as imaginary numbers (multiples of i = square root of -1), and numbers....   More from Yahoo Answers

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