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Answer:
There are four properties of addition of whole numbers.
Closure Property
Commutative Property
Associative Property
Additive Identity Property
Answer:
Properties Of Addition - Definition with Examples
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Properties of Addition?
There are four properties of addition of whole numbers.
Closure Property
Commutative Property
Associative Property
Additive Identity Property
Before we start with the properties, let us revise what are whole numbers.
Whole numbers
Natural numbers (Counting numbers), including 0, form the set of .
whole numbers
Closure Property:
The sum of the addition of two or more whole numbers is always a whole number.
Whole Number + Whole Number = Whole Number
For example, 2 + 4 = 6
closure property of whole number
Here, both 2 and 4 whole numbers and their sum is 6, which also is a whole number.
Commutative Property
When we add two or more whole numbers, their sum is the same regardless of the order of the addends.
Example 1: 2 + 4 = 4 + 2 = 6
commutative property of whole number example 1
commutative property of whole number example 2
The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order.
Associative Property
When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
For example (4 + 2) + 3 = (4 + 3) + 2
associative property example 1
associative property example 2
Here, the addends are 2, 4 and 3. So, as per the associative property, the sum of the three numbers will remain the same, no matter how we group them.
So, (2 + 4) = 3 = (4 + 3) + 2 = 9
Additive Identity Property
On adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number.
For example, 3 + 0 = 3
additive identity property example 1
additive identity property example 2
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