What are the Properties of Addition?
The properties of addition are useful when we add 2 or more values to get their sum. As we add the given values, we come across different rules that make the calculation easier. These rules are known as the properties of addition. Let us learn about the various types of properties that are used in addition.
1) Commutative Property of Addition
The commutative property of addition states that even when the order of the addends is changed, the sum remains the same.This means that changing the order of the addends does not change the value of the sum.
For example, 12 + 7 = 19, and 7 + 12 = 19. Here, it can be seen that even after changing the order of the addends, 12 and 7, the sum remains to be 19.
2) Associative Property of Addition
The associative property of addition states that the manner in which three or more numbers are grouped does not change the sum.In other words, while adding a given set of numbers, we can group them in any combination, the sum will remain the same.
For example, if we add 4 + (8 + 9) we get the sum as 21. Now, if we group the numbers as (4 + 8) + 9, even then we get the sum as 21.
3) Identity Property of Addition
The identity property of addition states that when 0 is added to any number, the sum is the number itself.In other words, the addend does not change its identity when it is added to zero. This property is also known as Zero Property of Addition
For example, 27 + 0 = 27; or 0 + 76 = 76.
Note :
- The identity element of addition is number '0'.
- Addition of two whole numbers except for zero will always give a bigger number.
- When you add numbers (except 0) on a number line, the result will always shift you to the right.
