This is not the document you are looking for? Use the search form below to find more!

Report

# Real Numbers chart

Document Description
A Real number is a value that represents a quantity along a continuous line. The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers such as √2 (1.41421356... the square root of two, an irrational algebraic number) and π (3.14159265..., a transcendental number). Real numbers can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced. Any real number can be determined by a possibly infinite decimal representation such as that of 8.632, where each consecutive digit is measured in units one tenth the size of the previous one. The real line can be thought of as a part of the complex plane, and correspondingly.
File Details
• File size: 206.38kb
• Pages: 3
• Tags: real numbers chart, properties of division, subtracting fractions from whole numbers
• content preview
Submitter
Embed Code:

Related Documents

## Properties of Real Numbers

by: hakem, 42 pages

Properties of Real Numbers You'll Learn To: Properties of Real Numbers Vocabulary 1) real numbers 2) rational numbers 3) irrational numbers Classify real numbers. ...

## Segments and Properties of Real Numbers (Geometry 2_2)

by: isabel, 29 pages

Segments and Properties of Real Numbers You will learn to apply the properties of real numbers to the measure of segments. What You'll Learn 1) Betweenness 2) Equation 3) ...

## HP 50g Graphing Calculator User's Manual

by: williamstt, 184 pages

You have in your hands a compact symbolic and numerical computer that will facilitate calculation and mathematical analysis of problems in a variety of disciplines, from elementary mathematics to ...

## hp 49g graphing calculator user's manual

by: williamstt, 175 pages

You have in your hands a compact symbolic and numerical computer that will facilitate calculation and mathematical analysis of problems in a variety of disciplines, from elementary mathematics to ...

## Solving Inequalities (Algebra 2)

by: aleksander, 68 pages

Solving Inequalities Solving Inequalities Vocabulary 1) set-builder notation 2) interval notation Solve inequalities. For any two real numbers, a and ...

## Linear Equations

by: mahesh4528, 3 pages

What is a linear equation: An equation is a condition on a variable. A variable takes on different values; its value is not fixed .Variables are denoted usually by letter of alphabets, such as x, y ...

## Equation of a line

by: mahesh4528, 3 pages

The standard form of line equation is Ax + By = C where A, B and C are real numbers and x , y are variables. Here A > 0 . This standard fom of line Equation of a line s used in algebra. The standard ...

## Linear Equations

by: mahesh4528, 3 pages

What is a linear equation: An equation is a condition on a variable. A variable takes on different values; its value is not fixed .Variables are denoted usually by letter of alphabets, such as x, y ...

## Solving Linear Equations

by: mahesh4528, 3 pages

What is a Solving linear equation: An equation is a condition on a variable. A variable takes on different values; its value is not fixed . Variables are denoted usually by letter of alphabets, such ...

## Solving Linear Equations

by: mahesh4528, 3 pages

What is a Solving linear equation: An equation is a condition on a variable. A variable takes on different values; its value is not fixed . Variables are denoted usually by letter of alphabets, such ...

Content Preview
Real Numbers chart
Real Numbers chart
A Real number is a value that represents a quantity along a continuous line. The real numbers include
all the rational numbers, such as the integer -5 and the fraction 4/3, and all the irrational numbers such
as 2 (1.41421356... the square root of two, an irrational algebraic number) and (3.14159265..., a
transcendental number). Real numbers can be thought of as points on an infinitely long line called the
number line or real line, where the points corresponding to integers are equally spaced. Any real
number can be determined by a possibly infinite decimal representation such as that of 8.632, where
each consecutive digit is measured in units one tenth the size of the previous one. The real line can be
thought of as a part of the complex plane, and correspondingly.
These descriptions of the real numbers are not sufficiently rigorous by the modern standards of pure
mathematics. The discovery of a suitably rigorous definition of the real numbers -- indeed, the
realization that a better definition was needed -- was one of the most important developments of 19th
century mathematics. The currently standard axiomatic definition is that real numbers form the unique
complete totally ordered field (R,+,*,<), up to isomorphism,[1] Whereas popular constructive
definitions of real numbers include declaring them as equivalence classes of Cauchy sequences of
rational numbers, Dedekind cuts, or certain infinite "decimal representations", together with precise
interpretations for the arithmetic operations and the order relation.
Know More About :- Properties of Division

Math.Edurite.com
Page : 1/3

A real number may be either rational or irrational; either algebraic or transcendental; and
either positive, negative, or zero. Real numbers are used to measure continuous quantities.
They may in theory be expressed by decimal representations that have an infinite sequence
of digits to the right of the decimal point; these are often represented in the same form as
324.823122147... The el ipsis (three dots) indicate that there would still be more digits to
come.More formally, real numbers have the two basic properties of being an ordered field,
and having the least upper bound property. The first says that real numbers comprise a field,
with addition and multiplication as wel as division by nonzero numbers, which can be total y
ordered on a number line in a way compatible with addition and multiplication. The second
says that if a nonempty set of real numbers has an upper bound, then it has a least upper
bound. The second condition distinguishes the real numbers from the rational numbers.The
set of rational numbers whose square is less than 2 is a set with an upper bound (e.g. 1.5)
but no least upper bound: hence the rational numbers do not satisfy the least upper bound .

Math.Edurite.com
Page : 2/3

ThankYou
Math.Edurite.Com

# Document Outline

• ﾿

Real Numbers chart

Share Real Numbers chart to:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Real Numbers chart as:

From:

To:

Share Real Numbers chart.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

Share Real Numbers chart as:

Copy html code above and paste to your web page.