# Addition of Numbers using Number Line – Rules, Steps, Examples | How do you Add Numbers on a Number Line?

The addition of Numbers using Number Line has different rules. It is possible to add positive numbers, negative numbers, and also positive with negative numbers. But one must take care while adding numbers on a number line. If you move on the wrong side while adding numbers, you may get the wrong results and your effort will become useless. So, follow our entire article and get clarity on the addition of Numbers using Number Line.

We have simplified the addition process on a number line and given a detailed explanation for every addition concept. To know the detailed concept on a number line, check out our 6th Grade Math concepts.

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## Rules to Add Numbers on a Number Line

The below rules are important to represent the addition of numbers on a number line.
(i) To add a positive number, we need to move to the right side of the number line as we increase the value.
(ii) To add a negative number, we need to move to the left side of the number line as we decrease the value.

### How to Add Numbers using Number Line?

The step-by-step procedure is given here to represent the addition of numbers on a number line.

1. Firstly, draw a straight line and label the numbers with equal intervals.
2. Note down the two numbers. Represent the first number on the number line.
3. Then, represent the second number on the number line.
4. Move the number from first to second according to the sign of the number.

#### 1. Addition of Positive Numbers on a Number Line

(i) Take two positive numbers.
(ii) Firstly, represent the smallest positive number on the number line.
(iii) Then, move to the number of units that is equal to the second number from the first number to the right.
(iv) At last, note down the final number to know the addition of two positive numbers.

Example 1: Add 3 and 5.

Solution: Represent the number 3 on the number line. Move 5 units to the right side on the number line from number 3. You will reach the number 8.

Therefore, 3 + 5 = 8.

Example 2: Add 1 and 2.

Solution: Represent the number 1 on the number line. Move 2 units to the right side on the number line from number 1. You will reach number 3.

Therefore,1 + 2 = 3.

#### 2. Addition of Positive Number & Negative Number on a Number Line

(i) Take one positive number and one negative number.
(ii) Firstly, represent the negative number on the number line.
(iii) Then, move to the number of units that is equal to the second number from the first number to the right.
(iv) At last, note down the final number to know the addition of a positive number and a negative number.

Example 1: Add 4 and -6.

Solution: Represent the negative number -6 on the number line. Move 4 units to the right side on the number line from number -6. You will reach the number -2.

Therefore, -6 + 4 = -2.

Example 2: Add -5 and 10.

Solution: Represent the negative number -5 on the number line. Move 10 units to the right side on the number line from number -5. You will reach the number 5.

Therefore, 10 – 5 = 5.

#### 3. Addition of Negative Numbers on a Number Line

(i) Take two negative numbers.
(ii) Firstly, represent the negative number on the number line.
(iii) Then, move to the number of units that is equal to the second number from the first negative number to the left.
(iv) At last, note down the final number to know the addition of two negative numbers.

Example 1: Add -5 and -3.

Solution: Represent the negative number -3 on the number line. Move 5 units to the left side on the number line from number -3. You will reach the number -8.

Therefore, -3 – 5 = -8.

Example 2: Add -1 and -7.

Solution: Represent the negative number -1 on the number line. Move 7 units to the left side on the number line from number -1. You will reach the number -8.

Therefore, -1 -7 = -8.

### Addition using Number Line Examples

Check out the below examples to learn how to add numbers on a number line.

Question 1.
Find out the addition of the below numbers using the number line.

Solution:
Given that 2 + 5
Represent 2 on the number line, then move right side with 5 units to know the addition of 2 and 5.

Therefore, 2 + 5 = 7
Given that 4 + 2
Represent 2 on the number line, then move right side with 4 units to know the addition of 2 and 4.

Therefore, 2 + 4 = 6
Given that 3 + 5
Represent 3 on the number line, then move right side with 5 units to know the addition of 3 and 5.

Therefore, 3 + 5 = 8.

Question 2.
If a tortoise wants to move from the -5 units to the right side. How many steps to reach number 1?

Solution:
Given that a tortoise wants to move from the -5 units to the right side.
The tortoise moved up to number 1.
-5 + —- = 1
So, the tortoise moved 6 units to reach number 1.

### FAQs on Adding Numbers using Number Line

Â 1. Is it possible to Add Natural numbers, whole numbers, and integers using a number line?

Yes, it is possible to add Natural numbers, whole numbers, and integers using a number line.

2. Can I add a negative and positive number on a number line?

Yes, one can add a negative and positive number on a number line.

3. What is a number line?

A number line consists of a straight line with different numbers which are apart with the same interval.

4. How will you add 5 and 6 on a number line? Explain?

The addition of 5 and 6 are started by placing the number 5 on a number line. Then, we need to move 6 units from the number 5. Finally, add total units to find the addition of 5 and 6.
5 + 6 = 11.