VIDEOS 1 TO 50

Number Line Basics Song – Learn Numbers – Learning Upgrade App

Published: 2016/02/10

Channel: Learning Upgrade App

Counting 1 - 10 on the Number Line With Froggy

Published: 2011/10/03

Channel: Complabteacher

How To Read Number Lines.mov

Published: 2012/08/31

Channel: tenframe

Placing Numbers on a Number Line

Published: 2010/09/02

Channel: deandreasmith2

Learn Addition Using Number Line | Elementary Maths Concept for Kids | Addition | Part 4

Published: 2016/08/26

Channel: Periwinkle

Rational Numbers on a Number Line - Part 1

Published: 2014/12/18

Channel: Don't Memorise

Fractions on a Number Line Song for 3rd Grade & 4th Grade

Published: 2017/09/25

Channel: NUMBEROCK Math Songs

Number Line - Numberphile

Published: 2013/07/30

Channel: Numberphile

Number line 1 | Multiplication and division | Arithmetic | Khan Academy

Published: 2015/08/14

Channel: Khan Academy

Understanding the Number Line - Part 1

Published: 2014/12/08

Channel: Don't Memorise

Number line addition for kindergarten / 1st grade math

Published: 2015/07/10

Channel: Math Mammoth

number line addition by Peter Weatherall

Published: 2008/11/13

Channel: Peter Weatherall

Number Line Song!

Published: 2013/12/13

Channel: Jennifer Fernbach

Number Line Word Problem - 1st and 2nd grade

Published: 2014/12/17

Channel: Math & Learning Videos 4 Kids

Learn Subtraction Using Number Line | Elementary Maths Concept for Kids | Subtraction | Part 5

Published: 2016/08/30

Channel: Periwinkle

Very Basics of Graphing Inequalities (on a number line)

Published: 2013/05/31

Channel: MathWOEs

Number Line Introduction

Published: 2015/02/08

Channel: Mathematics is Fun

Adding and Subtracting on an Open Number Line - Grade 2

Published: 2016/09/20

Channel: Mrs. Erica Jousan

Number line subtraction by Peter Weatherall

Published: 2008/11/13

Channel: Peter Weatherall

Rational Numbers on a Number Line - Part 2

Published: 2014/12/18

Channel: Don't Memorise

Learn Grade 1 - Maths - Number line

Published: 2011/10/17

Channel: KidsClassroom - Nursery Rhymes & Kids Songs

Adding and subtracting integers on the number line

Published: 2015/08/28

Channel: Manohar Moorthy

Integers on a Number Line!

Published: 2014/12/08

Channel: Don't Memorise

The Number Line

Published: 2011/03/18

Channel: mahalodotcom

How to Read a Number Line

Published: 2011/12/28

Channel: tenframe

Adding Integers Using a Number Line

Published: 2010/11/05

Channel: Mathispower4u

Absolute value and number lines | Negative numbers and absolute value | Pre-Algebra | Khan Academy

Published: 2010/05/06

Channel: Khan Academy

Math Antics - Negative Numbers

Published: 2014/09/24

Channel: mathantics

Adding and subtracting on number line word problems | Early Math | Khan Academy

Published: 2015/06/02

Channel: Khan Academy

Class 9th, Maths, locate √9.3 on the number line

Published: 2017/04/19

Channel: Gyan Abhiyan

Rational Numbers on a Number Line - Part 3

Published: 2014/12/18

Channel: Don't Memorise

Ordering Fractions on a Number Line

Published: 2014/11/06

Channel: Laura Stegmann

Fractions on a Number Line - Mr. Pearson Teaches 3rd Grade

Published: 2016/01/20

Channel: Mr. Pearson Teaches 3rd Grade

How do we Plot Root 2 on a Number Line?

Published: 2014/12/19

Channel: Don't Memorise

Represent √7 on the number line.

Published: 2017/04/21

Channel: Gyan Abhiyan

Dividing whole numbers by fractions using a number line

Published: 2016/02/08

Channel: Max Nazarian

Learn Division: Divide on a Number Line

Published: 2011/10/21

Channel: Iken Edu

Representing Fractions on Number line

Published: 2013/09/03

Channel: MathsSmart

Ratios and double number lines

Published: 2017/11/08

Channel: Khan Academy

How to represent irrational numbers on a number line?

Published: 2013/01/18

Channel: AppuSeriesAcademy

Multiplying With a Number Line

Published: 2014/04/04

Channel: Ramy Melhem

Root 2, Root 3, Root 5,.... on Number Line

Published: 2017/05/25

Channel: Guru Mantra

ES 2 Math 3-digit subtraction using a number line

Published: 2014/10/21

Channel: TheWCPSSAcademics

equivalent fractions on number line

Published: 2013/02/23

Channel: Jessie Ketchum

Inequalities on a number line - Corbettmaths

Published: 2013/05/17

Channel: corbettmaths

Multiplying fractions by whole numbers on the number line

Published: 2015/09/08

Channel: Khan Academy

Ex: Identify a Fraction on a Number Line

Published: 2011/10/17

Channel: Mathispower4u

Fractions on Number Lines - v2

Published: 2012/09/18

Channel: mikkadamia

Addition and subtraction with number lines | 2nd grade | Khan Academy

Published: 2017/08/14

Channel: Khan Academy

Learn Multiplication Facts using Number Line

Published: 2011/10/21

Channel: Iken Edu

In basic mathematics, a **number line** is a picture of a graduated straight line that serves as abstraction for real numbers, denoted by . Every point of a number line is assumed to correspond to a real number, and every real number to a point.^{[1]}

The integers are often shown as specially-marked points evenly spaced on the line. Although this image only shows the integers from −9 to 9, the line includes all real numbers, continuing forever in each direction, and also numbers not marked that are between the integers. It is often used as an aid in teaching simple addition and subtraction, especially involving negative numbers.

In advanced mathematics, the expressions *real number line*, or *real line* are typically used to indicate the above-mentioned concept that every point on a straight line corresponds to a single real number, and vice versa.

A number line is usually represented as being horizontal, but in a Cartesian coordinate plane the vertical axis (y-axis) is also a number line.^{[2]} According to one convention, positive numbers always lie on the right side of zero, negative numbers always lie on the left side of zero, and arrowheads on both ends of the line are meant to suggest that the line continues indefinitely in the positive and negative directions. Another convention uses only one arrowhead which indicates the direction in which numbers grow.^{[2]} The line continues indefinitely in the positive and negative directions according to the rules of geometry which define a line without endpoints as an *infinite line*, a line with one endpoint as a *ray*, and a line with two endpoints as a *line segment*.

If a particular number is farther to the right on the number line than is another number, then the first number is greater than the second (equivalently, the second is less than the first). The distance between them is the magnitude of their difference—that is, it measures the first number minus the second one, or equivalently the absolute value of the second number minus the first one. Taking this difference is the process of subtraction.

Thus, for example, the length of a line segment between 0 and some other number represents the magnitude of the latter number.

Two numbers can be added by "picking up" the length from 0 to one of the numbers, and putting it down again with the end that was 0 placed on top of the other number.

Two numbers can be multiplied as in this example: To multiply 5 × 3, note that this is the same as 5 + 5 + 5, so pick up the length from 0 to 5 and place it to the right of 5, and then pick up that length again and place it to the right of the previous result. This gives a result that is 3 combined lengths of 5 each; since the process ends at 15, we find that 5 × 3 = 15.

Division can be performed as in the following example: To divide 6 by 2—that is, to find out how many times 2 goes into 6—note that the length from 0 to 2 lies at the beginning of the length from 0 to 6; pick up the former length and put it down again to the right of its original position, with the end formerly at 0 now placed at 2, and then move the length to the right of its latest position again. This puts the right end of the length 2 at the right end of the length from 0 to 6. Since three lengths of 2 filled the length 6, 2 goes into 6 three times (that is, 6 ÷ 2 = 3).

The section of the number line between two numbers is called an interval. If the section includes both numbers it is said to be a closed interval, while if it excludes both numbers it is called an open interval. If it includes one of the numbers but not the other one, it is called a half-open interval.

All the points extending forever in one direction from a particular point are together known as a ray. If the ray includes the particular point, it is a closed ray; otherwise it is an open ray.

On the number line, the distance between two points is the unit length if and only if the difference of the represented numbers equals 1. Other choices are possible.

One of the most common choices is the *logarithmic scale*, which is a representation of the *positive* numbers on a line, such that the distance of two points is the unit length, if the ratio of the represented numbers has a fixed value, typically 10. In such a logarithmic scale, the origin represents 1; one inch to the right, one has 10, one inch to the right of 10 one has 10×10 = 100, then 10×100 = 1000 = 10^{3}, then 10×1000 = 10,000 = 10^{3}, etc. Similarly, one inch to the left of 1, one has 1/10 = 10^{–1}, then 1/100 = 10^{–2}, etc.

This approach is useful, when one want to represent, on the same figure, values with very different order of magnitude. For example, one requires a logarithmic scale for representing simultaneously the size of the different bodies that exist in the Universe, typically, a photon, an electron, an atom, a molecule, a human, the Earth, the Solar System, a galaxy, and the visible Universe.

Logarithmic scales are used in slide rules for multiplying or dividing numbers by adding or subtracting lengths on logarithmic scales.

A line drawn through the origin at right angles to the real number line can be used to represent the imaginary numbers. This line, called imaginary line, extends the number line to a complex number plane, with points representing complex numbers.

Alternatively, one real number line can be drawn horizontally to denote possible values of one real number, commonly called *x*, and another real number line can be drawn vertically to denote possible values of another real number, commonly called *y*. Together these lines form what is known as a Cartesian coordinate system, and any point in the plane represents the value of a pair of real numbers. Further, the Cartesian coordinate system can itself be extended by visualizing a third number line "coming out of the screen (or page)", measuring a third variable called *z*. Positive numbers are closer to the viewer's eyes than the screen is, while negative numbers are "behind the screen"; larger number are farther from the screen. Then any point in the three-dimensional space that we live in represents the values of a trio of real numbers.

- Chronology
- Complex plane
- Cuisenaire rods
- Extended real number line
- Hyperreal number line
- Number form (neurological phenomenon)
- The construction of a decimal number

**^**Stewart, James B.; Redlin, Lothar; Watson, Saleem (2008).*College Algebra*(5th ed.). Brooks Cole. pp. 13–19. ISBN 0-495-56521-0.- ^
^{a}^{b}Introduction to the x,y-plane "Purplemath" Retrieved 2015-11-13

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