Question

verify a×b=b×a if a=11/15,b=-7/6​

Answer 1

5+85+45/5-5':5"6'5*"5@

Answer 2

It is verified that multiplication is commutative i.e. "a * b = b * a"

Commutative Property of Operations :

• Operation 'x' is said to be communicative in nature if the order of operators does not matter
• Thus, 'a x b' = 'b x a', implies that the 'x' operation is commutative.
• Multiplication operation is commutative as "a * b" has the same result as "b * a".

Verifying Commutative Property for Multiplication :

Let us take the 2 operators a = 11/15 and b = (-7)/6

The operation between them is multiplication

LHS : ( a * b)    

         $= a * b$

         $=\frac{11}{15} * \frac{-7}{6}$

         $=\frac{11*(-7)}{15*6}$

         $=\frac{-77}{90}$

RHS : ( b * a)    

         $= b * a$

         $=\frac{-7}{6} * \frac{11}{15}$

         $=\frac{(-7)*11}{6*15}$

         $=\frac{-77}{90}$

As LHS = RHS, so it is verified that a * b = b * a.

Hence, it is proved that multiplication is commutative.

To learn more about Commutative property, visit

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