Representation of Integers on a Number Line

Representation of integers on a number line is explained here step by step. In the number line the positive numbers are to the right side and the negative numbers are to the left side.

Thus, we have integers on the number line as shown in the below figure.

Working Rules Representation of Integers on a Number Line:


Step I: Draw a line and mark some points each at equal distance.

Step II: Marka point on it.

Step III: Points to the right of 0 are positive integers

               Mark them as +1, +2, +3, +4, +5, +6, ... etc.

Step IV: Points to the left of 0 are negative integers.

             Mark them as -1, -2, -3, -4, -5, -6, ... etc.

1. Draw a line and take a point 0 almost in the middle of it.

The Number Line

2. Mark some points at equal distances on either side of 0. Points to the right of 0 are positive and marked +1, +2, +3, +4, +5, +6, ... etc., or simply 1, 2, 3, 4, 5, 6 ...

Points to the left of 0 are negative and are marked -1, -2, -3, -4, -5, -6, ...

Clearly, 1 and -1 are at equal distances from 0, but they are placed in opposite directions

Similarly, 2 and 2 are at equal distances from 0, but they are placed in opposite directions and so on.

Consider the following to observe the representation of integers on a number line.


(i) In order to mark +2 on the number line, we move 2 points to the right side of the zero.




(ii) In order to mark -6 on the number line, we move 6 points to the left side of the zero.





(iii) In order to mark -1 on the number line, we move 1 point to the left side of the zero.





(iv) In order to mark +7 on the number line, we move 7 points to the right side of the zero.





(v) In order to mark -4 on the number line, we move 4 points to the left side of the zero.


These are the examples to represent integers on a number line.


Frequently asked questions on 

1. How to represent the number -3 on the number line?

Solution:

-3 on Number Line

To represent -3 on the line, we move 5 points to the left of 0.


2. How to find the distance (in units) between -5 and 5 on the number line?

Distance Between -5 and 5

Solution:

The distance between-5 and 5 on the number line is 10 units as shown in figure.


● Integers

Representation of Integers on a Number Line.

Addition of Integers on a Number Line.

Rules to Add Integers.

Rules to Subtract Integers.


You might like these







5th Grade Numbers Page

5th Grade Math Problems

From Representation of Integers on a Number Line to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Addition of Decimals | How to Add Decimals? | Adding Decimals|Addition

    Apr 24, 25 01:45 AM

    Addition of Decimals
    We will discuss here about the addition of decimals. Decimals are added in the same way as we add ordinary numbers. We arrange the digits in columns and then add as required. Let us consider some

    Read More

  2. Addition of Like Fractions | Examples | Videos | Worksheet | Fractions

    Apr 23, 25 09:23 AM

    Adding Like Fractions
    To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

    Read More

  3. Subtraction | How to Subtract 2-digit, 3-digit, 4-digit Numbers?|Steps

    Apr 23, 25 12:41 AM

    Subtraction Example
    The answer of a subtraction sum is called DIFFERENCE. How to subtract 2-digit numbers? Steps are shown to subtract 2-digit numbers.

    Read More

  4. Subtraction of 4-Digit Numbers | Subtract Numbers with Four Digit

    Apr 23, 25 12:38 AM

    Properties of Subtraction of 4-Digit Numbers
    We will learn about the subtraction of 4-digit numbers (without borrowing and with borrowing). We know when one number is subtracted from another number the result obtained is called the difference.

    Read More

  5. Subtraction with Regrouping | 4-Digit, 5-Digit and 6-Digit Subtraction

    Apr 23, 25 12:34 AM

     Subtraction of 5-Digit Numbers with Regrouping
    We will learn subtraction 4-digit, 5-digit and 6-digit numbers with regrouping. Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the…

    Read More