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 [tex]a+(b+c) = (a+b)+c[/tex]. 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 [tex]a+(-a)=0[/tex]. This property is not used in the given statement.
3. Inverse property of multiplication: A number 'a' is said to have an inverse '[tex]\frac{1}{a}[/tex]' if [tex]a \times \frac{1}{a}=1[/tex]. 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 [tex]a+b = b+a[/tex].
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.
