Addition of Numbers using Number Line

Addition of numbers using number line will help us to learn how a number line can be used for addition.

Addition of numbers can be well understood with the help of the number line. Keep in mind the following rules of movements on the number line.

(i) In order to add a positive number, we move the same number of steps to the right on the number line as the value of the number.

(ii) In order to add a negative number, we move the same number of steps to the left on the number line as the value of the number.


Addition of numbers using number line in different situation:

1. Addition of a positive number to a positive number,

For example: (+2) + (+3)

Addition of Numbers using Number Line

First of all, for +2, count 2 units to the right of zero (because right side is for the positive sign). Then for +3 move three units to the right of +2. Thus, we reach at +5.

Therefore, (+2) + (+3) = +5 or simply we can write, 5.

 

2. Addition of a positive number to a negative number,

For example: (+3) + (-4).

Addition of a Positive Number to a Negative Number using Number Line

For +3, move 3 units to the right of zero and then for -4, move 4 units to the left of 3.

Thus, we reach at -1.

Therefore (+3) + (-4) = -1.

 

3. Addition of a negative number to a positive number,

For example: (-4) + (+3)

Addition of a Negative Number to a Positive Number using Number Line

For -4, move 4 units to the left of zero and then for +3, move 3 units to the right of -4.

Thus, we reach at -1.

 Therefore (-4) + (+3) = -1.

 

4. Addition of a negative number to a negative number,

For example: (-2) + (-4)

Addition of a Negative Number to a Negative Number using Number Line

For -2, start from zero and move two units to the left and then again for -4, move 4 units to the left of -2. Thus, we reach at -6.

Therefore (-2) + (-4) = -6.








6th Grade Math Practice

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