# 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.

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.

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

Solution:

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?

Solution:

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

Representation of Integers on a Number Line.

Addition of Integers on a Number Line.

Rules to Subtract Integers.

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