question_answer

Think, discuss and write:

(i) Is \[(16\div 4)\div 2=16\div (4\div 2)\]?

(ii) Is there an associative property for division?

(iii) Discuss with your friends. Think of \[(28\div 14)\div 2\] and \[28\div (14\div 2)\]?

Answer:

(i) L.H.S. \[(16\div 4)\div 2=\left( 16\times \frac{1}{4} \right)\div 2\]

\[=4\div 2=2\]

R.H.S. \[16\div (4\div 2)=16\div \left( 4\times \frac{1}{2} \right)\]

\[=16\div 2=8\]

\[2\ne 8\]

So        \[(16\div 4)\div 2\ne 16\div (4\div 2)\]

(ii) No, there is no associative property for division because from the above solution.

\[(16\div 4)\div 2\ne 16\div (4\div 2)\]

(iii) \[(28\div 14)\div 2\]  \[28\div (14\div 2)\]

\[=2\div 2\]               \[=28\div 7\]

\[=1\]                      \[=4\]

\[\therefore \]    \[(28\div 14)\div 2\ne 28\div (14\div 2)\]

Thus, associative property for division does not hold.