SOLUTION: is the commutative property true for the operation of subtraction? multiplication n division?

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Question 187446: is the commutative property true for the operation of subtraction? multiplication n division?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Subtraction is NOT commutative. Here's a counter example:

3-2=1 while 2-3=-1

Since 1%3C%3E-1, this means that 3-2%3C%3E2-3. So subtraction is NOT commutative.


Multiplication is commutative (it's been proven), but division is NOT commutative


Counter Example:

10%2F2=5 while 2%2F10=1%2F5=0.2

Since 5%3C%3E0.2, this means that 10%2F2%3C%3E2%2F10. So division is NOT commutative.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The commutative property only applies to addition and multiplication.

Commutative Property of Addition:



Commutative Property of Multiplication:



Of course, this causes us no problems whatsoever because, for those of us who understand the concepts of signed numbers and reciprocals, there is no such thing as subtraction and division.

Subtraction is actually addition of the additive inverse, in other words:



Which operation is not commutative because:



But the operation is really:



Which is commutative because:



Likewise, division is simply multiplication by the reciprocal.

Division is not commutative:



But



is really:



and this operation is commutative because:







John