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.
You need to login to perform this action.
You will be redirected in
3 sec