Really? You want to do that again? Ok, fine… If I have 1 2 litre bottle of milk, and 4 3 litre bottles of milk - i.e. 2+3x4 - how many litres of milk do I have?
you would with the standard order of operations
The definition of 5 as being 1+1+1+1+1 has nothing to do with order of operations.
there is no law of the universe that makes 5 look like that
No, but there is a rule of Maths which defines it.
switch the definitions of the symbols 5 and 4 if we did it all at once and revised old math expressions to match the new standard
In other words everything would be the same as now but we just switched the notation around. I already said that to you a while back. Now you’re getting it.
there is no reason the order of operations is what it is other than that is how someone decided to write it
Got nothing to do with how it’s written - Maths is written differently in many different countries, and yet the underlying order of operations rules are universal.
I’m not saying you can take any expression and get the same answer by doing addition before multiplication
And if it’s not the same answer then it’s wrong. You’re nearly had it.
I’m saying you can take any problem and get the correct answer by doing addition before multiplication
And I told you you can’t. Waiting on a proof from you. Start with 2+3x4 - show me how you can get the correct answer by doing addition first - it’s a nice simple one. :-)
that means I would use the expression 2+(3x4) because 2+3x4
They’re literally the same thing.
All I am saying is that you can still use numbers to solve problems with an altered order of operations, or by altering any part of the system of notation
And I told you that it’s impossible. Changing the notation doesn’t change the Maths.
As you can see, I used my altered math notation to find the correct answer
BWAHAHAHAHA! Nope! I see you putting brackets around the multiplication to make sure it gets done first - same as if you hadn’t used brackets at all! It’s the exact same notation we use now, just with some redundant brackets added to it! And, predictably, you left the addition for last.
Ok, let’s take your example and do addition first (like you claimed can be done)…
15²+50²=15x15+50x50=15x65x50=48,750. But 15²+50² is 2,725 according to my calculator. Ooooh, different answers - I wonder which one is right… I wonder which one is right…???
Thanks for proving it can only be done by following the order of operations rules (just like I’ve been saying to you all along). Bye now.