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Number Line

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A number line in mathematics refer to a straight line figure. This line can have many points in it as decimal numbers or real numbers. The points can be indicated by many integers. As shown in the below figure the space between the points are same on the line and it is represented by the real numbers. As we can see that the number line can have both positive and negative numbers on it and zero is the middle of number line.    

Number Line

Number Line Definition

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The number line definition is, "If the numbers are marked at the same interval on a line is called aa a number line". It is mainly used in simple mathematics operations. 

The use of number line is shows below,

Example,

Let any number $2.5 (or\ 2 \frac{1}{2} )$. This is on the number line somewhere half way between 2 and 3.

Using Number Line

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The number line can use many operations like addition, subtraction and so on. Number line can also work on negative numbers. If a number has no sign it usually means that it is a positive number. Always remember two thing when using number lines, first when you add, you move from left to right and second when you subtract, you move from right to left.

There are two basic rules for performing multiplication in a number line,

1) Two like signs become a positive sign.

2) Two unlike signs become a negative sign.

Drawing the Number Line

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For drawing a number line there are some basic steps are given below,
Step 1: First draw a straight line horizontally. 

Step 2:
 Mention 0 at the origin of number line.

Step 3:
 On origin's right hand side mention positive numbers on even space.

Step 4:
 On origin's left hand side mention negative numbers on even space.

Step 5:
 Mark all the given points on the number line.

Step 6:
 
Draw the solution. 

Comparing Numbers

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To compare numbers we use following terms and symbols. These terms and symbols are as follows,

1)
Greater than (>)

2)
Less than (<)

3)
 Greater than or equal to ($\geq$)

4)
Less than or equal ($\leq$)

5)
Equal (=)

Also the comparison of numbers we can be in the form of ascending order and descending order.
Question 1:

In quarterly examination Raja got 85 marks in Science and Ravi get 88 marks. Who get high mark and represent the greater mark in notation?

Solution:

Ravi has got 88 marks and Raja has got 85 marks. Let us represent these numbers on a number line and compare.

As we can see 88 is on the right of 85, hence, 88 is higher than 85. It can be written as 88 > 85.

Identifying Points

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Let us learn about identifying the points on a number line with this following example:
Question:

There are three persons on the origin namely as A, B, C. A walks backwards 2 points, B & C walks towards 4 points and 3 points respectively. Point out their current position.

Solution:

  Identifying Points

Portions of the Number Line

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The negative and positive number line model point is coordinates. The real number is declaring the number line. The negative number is represent the number line is left side. The positive number is represent the number line is right side. The number line is three parts. Those parts are

i)   Origin
ii)  Right side origin
iii) Left side origin

The following diagram is representing the negative and positive number line.
Portions of the Number Line
Origin

The origin of the number line is generally called as the zero point. The position of the zero is central part of the number line.
Right side of origin

The right side origin of the number line is generally called as the positive number line. The right side origin is represent the all number is greatest number. The positive number line sign is +. The structure of the right side origin is {+1, +2, +3....}. The example of the positive number line is +45, +89, +12 and etc.
Left side of origin

The left side origin of the number line is commonly called as the negative number line. The left side origin is represent the all numbers are smallest number. The negative number line sing is -. The structure of the left side origin is {-1, -2, -3....}. The example of the negative number line is -36, -61, -14 and etc.

Scaling

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Scaling comes under geometry mathematics. Scaling is define as, "Representation of points on a line with numbers arranged in some order". The directions of enlarging objects will be same. Scaling also known as uniform scaling or isotropic scaling. It's similar to the scale on a map (e.g. one tick mark on a map might mean 5 miles, or one inch might be 28 miles).