This may seem like a really stupid question, but I am unable to rationalize with myself as to why the commutative property exists when multiplying 2 real number.
Take for example:
$2 * 5 = 10$
This actually means that if we add $2$ $5$ times we will get $10$.
But its kind of amazing when we can say for sure that if we add $5$ $2$ times we will also get $10$.
What is the reason for this property, I know I may be over-thinking this, but I can't understand intuitively why this happens.
I know that $5$ actually "contains" $2$ but how does that guarantee commutative property ?
For example matrix multiplication is not commutative, yet real number multiplication is.
Am I just overthinking something simple?
Need some clarity.