To prove : Commutative property applies to division or not.
Explanation of Solution
Formula used:
Commutative property is given by:
Proof:
Commutative Property:
According to commutative property an expression must give the same answer if we swap the operands. It can be applied to addition and multiplication.
Commutative property doesn’t apply to division.
This can be proved with the help of a simple example where,
Thus,
And if the values are swapped, that is
Thus,
which is not equal to the above value
Therefore,
Hence, it is proved that division is not commutative.
Chapter 1 Solutions
High School Math 2011 Algebra 1(prentice Hall) Student Edition
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