Addition of Numbers without using a Number Line is possible when you understand the signs. When you go for the addition of big numbers, the number line is not convenient for addition. In such cases, you must go through the addition of numbers without using a number line.
To save time on the addition of large numbers, one must go through the normal addition process than the number line process. The complete article will let you know how to add numbers without using a number line. 6th Grade Math articles are available on our website for free of cost. Read all the concepts on our website online and offline.
Also, check
- Addition of Numbers using Number Line
- Subtraction of Numbers using Number Line
- Addition of Integers on a Number Line
Rules for Addition of Numbers without using Number Line | How to Add without a Number Line?
We have given different rules for the addition of numbers. Carefully read and remember all the rules to add numbers without using number lines.
Rule 1: Addition of a Positive Number to a Positive Number
To add a positive number with a positive number, the numbers need to add with a positive sign. Then, write down the sum of the numbers as the output.
Example 1:
Add +8 and +2
Solution:
Given numbers are +8 and +2 which have two positive signs.
So, add two numbers (+8) + (+2) = 8 + 2 = 10.
Therefore, the answer is 10 or +10.
Example 2:
Add +3 and +6
Solution:
Given numbers are +3 and +6 which have two positive signs.
So, add two numbers (+3) + (+6) = 3 + 6 = 9.
Therefore, the answer is 9 or +9.
Rule 2: Addition of a Positive Number to a Negative Number
To add a positive number with a negative number, first, check out the signs of the numbers. Then, the numbers need to subtract. Subtract the smaller number from the bigger number. Finally, write down the output of the numbers as an answer.
Example 1:
Add +6 and -3
Solution:
Given numbers are +6 and -3 which have one positive sign and one negative sign.
Find out the bigger number and the smaller number. 6 is the bigger number and 3 is the smaller number.
Subtract the smaller number from the bigger number.
(+6) + (-3) = 6 – 3 = 3.
Therefore, the answer is 3.
Example 2:
Add +5 and -1
Solution:
Given numbers are +5 and -1 which have one positive sign and one negative sign.
Find out the bigger number and the smaller number. 5 is the bigger number and 1 is the smaller number.
Subtract the smaller number from the bigger number.
(+5) + (-1) = 5 – 1 = 4.
Therefore, the answer is 4.
Rule 3: Addition of a Negative Number to a Positive Number
To add a negative number with a positive number, first, check out the signs of the numbers. Then, the numbers need to subtract. Subtract the smaller number from the bigger number. Finally, write down the output of the numbers as an answer. Attach the sign of the bigger number to the answer.
Example 1:
Add -7 and +2
Solution:
Given numbers are -7 and +2 which have one positive sign and one negative sign.
Find out the bigger number and the smaller number. 7 is the bigger number and 2 is the smaller number.
Here the bigger number is negative.
(-7) + (2) = -7 + 2 = -5. Subtracting 2 from 7 gives you 5. As the bigger number 7 has the negative sign attach – before 5.
Therefore, the answer is -5.
Example 2:
Add -9 and +7
Solution:
Given numbers are -9 and +7 which have one positive sign and one negative sign.
Find out the bigger number and the smaller number. 9 is the bigger number and 7 is the smaller number.
Here the bigger number is negative.
(-9) + (7) = -9 + 7 = -2. Subtracting 7 from 9 gives you 2. As the bigger number 9 has the negative sign attach – before 2.
Therefore, the answer is -2.
Rule 4: Addition of a Negative Number to a
Negative Number
To add a negative number with a negative number, the numbers need to add and attach a negative sign to the output. Then, write down the sum of the numbers as the output with a negative sign.
Example 1:
Add -3 and -5
Solution:
Given numbers are -3 and -5 which have negative signs.
So, add two numbers (-3) + (-5) = -3 + -5 = -8. Addition of 3 and 5 gives you 8. As both the numbers consists negative sign, attach – before 8.
Therefore, the answer is -8.
Example 2:
Add -1 and -3
Solution:
Given numbers are -1 and -3 which have negative signs.
So, add two numbers (-1) + (-3) = -1 + -3 = -4. Addition of 1 and 3 gives you 4. As both the numbers consists negative sign, attach – before 4.
Therefore, the answer is -4.
FAQs on Add Numbers without Using Number Line
1. How to Add Numbers?
We have different methods to add numbers. Either using a number line or without a number line, we can add numbers.
2. How do you add numbers without using a number line?
We can add numbers without using a number line by knowing the sign of the numbers. If both numbers are positive, then we can add the numbers. If both numbers are negative, then the numbers are added and given a “-” sign before it. If one number is a positive number and a negative number, then the numbers are subtracted, then the biggest number sign is attached to the output.
3. What is the Sum?
The output of the addition is called the sum of a number.
4. What is the sum of the numbers 27 and 23?
The sum of the numbers 27 and 23 is 27 + 23 = 50.
Summary
Read out the complete article and know how to add numbers without a number line. Any big number can be added in minutes if you know the process of addition. Also, you can take the practice tests on our website for better practice.