write down the properties of addition in about 200 words
Answers
Answer:
There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties. Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.
Step-by-step explanation:
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.
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
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
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
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.