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Encyclopedia > Number line

A number line, invented by John Wallis, is a one-dimensional picture in which the integers are shown as specially-marked points evenly spaced on a line. Although this image only shows the integers from -9 to 9, the line includes all real numbers, continuing "forever" in each direction. It is often used as an aid in teaching simple addition or subtraction, especially involving negative numbers. John Wallis John Wallis (November 22, 1616 - October 28, 1703) was an English mathematician who is given partial credit for the development of modern calculus. ... :For other senses of this word, see dimension (disambiguation). ... The integers are commonly denoted by the above symbol. ... 3 + 2 = 5 with apples, a popular choice in textbooks[1] Addition is the mathematical operation of combining or adding two numbers to obtain an equal simple amount or total. ... 5 - 2 = 3 Subtraction is one of the four basic arithmetic operations; it is essentially the opposite of addition. ... A negative number is a number that is less than zero, such as −3. ...

Number Line
Number Line

It is divided into two symmetric halves by the origin, i.e. the number zero. Image File history File links No higher resolution available. ... In mathematics, the origin of a coordinate system is the point where the axes of the system intersect. ... 0 (zero) is both a number and a numerical digit used to represent that number in numerals. ...


Drawing the number line

The number line is most often represented as being horizontal. Customarily, positive numbers lie on the right side of zero, and negative numbers lie on the left side of zero. An arrow on either end of the drawing is meant to suggest that the line continues to positive and negative infinity, even though one's paper, chalkboard, or screen does not. Horizontal is an orientation relating to, or in parallel with the horizon, and thus perpendicular to the vertical. ... In common usage positive is sometimes used in affirmation, as a synonym for yes or to express certainty. Look up Positive on Wiktionary, the free dictionary In mathematics, a number is called positive if it is bigger than zero. ... This article or section is not written in the formal tone expected of an encyclopedia article. ...


The set of all numbers on the number line is otherwise known as the set of the reals, denoted by R. The real numbers consist of irrational and rational numbers, as well as integers, whole numbers, and the natural numbers (the counting numbers). In mathematics, the real numbers may be described informally as numbers that can be given by an infinite decimal representation, such as 2. ... In mathematics, an irrational number is any real number that is not a rational number, i. ... In mathematics, a rational number (or informally fraction) is a ratio of two integers, usually written as the vulgar fraction a/b, where b is not zero. ... The integers consist of the positive natural numbers (1, 2, 3, …) the negative natural numbers (−1, −2, −3, ...) and the number zero. ... The integers consist of the positive natural numbers (1, 2, 3, …) the negative natural numbers (−1, −2, −3, ...) and the number zero. ... Natural number can mean either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). Natural numbers have two main purposes: they can be used for counting (there are 3 apples on the table), or they can be used for ordering (this is...


See also


  Results from FactBites:
 
Extended real number line - Wikipedia, the free encyclopedia (817 words)
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].
  More results at FactBites »


 

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