Consider the given statement:
8+3.4=3.4+8
We have to identify the property used in this statement.
1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that . This property is not used in the given statement.
2. Inverse property of addition: A number 'a' is said to have an inverse '-a' if . This property is not used in the given statement.
3. Inverse property of multiplication: A number 'a' is said to have an inverse '' if
. This property is not used in the given statement.
4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that .
In the given statement, 8+3.4=3.4+8
which is expressed as 8+12 = 12+8, this statement holds commutative property of addition as whether 8 is added to 12 or 12 is added to 8, the result is same.
So, Commutative property of addition is illustrated in this statement.