Is BODMAS something that was agreed upon or imposed in order to make mathematics uniform, or does it have a mathematical reason why it has to be?
Pedants' corner
user1492757084 · 15/02/2024 14:03
I thought it was BOMDAS. I was good at Maths though obviously not.
MaggieFS · 15/02/2024 14:21
Isn't it a great question. Perhaps everything we know maths to be is just because of this convention and perhaps we're all wrong, all of the time!
Dilbertian · 15/02/2024 16:57
Why is 2+3x4=14 right, but 2+3x4=20 is wrong?
TheNumberfaker · 15/02/2024 17:15
It’s because multiplication is repeated addition
5 x 2 = 2+2+2+2+2
orders(=powers, indices, exponents) are repeated multiplication
5^2=5x5
so you’re kind of doing the higher level ones first, and then brackets can override it as you need
Dilbertian · 15/02/2024 17:22
That makes sense.
So 2+3x4 can be simplified to 2+3+3+3+3, which wouldn't work if you simply did the operations in order from left to right.
TheNumberfaker · 15/02/2024 17:15
It’s because multiplication is repeated addition
5 x 2 = 2+2+2+2+2
orders(=powers, indices, exponents) are repeated multiplication
5^2=5x5
so you’re kind of doing the higher level ones first, and then brackets can override it as you need
Dilbertian · 15/02/2024 17:22
That makes sense.
So 2+3x4 can be simplified to 2+3+3+3+3, which wouldn't work if you simply did the operations in order from left to right.
TheNumberfaker · 15/02/2024 17:15
It’s because multiplication is repeated addition
5 x 2 = 2+2+2+2+2
orders(=powers, indices, exponents) are repeated multiplication
5^2=5x5
so you’re kind of doing the higher level ones first, and then brackets can override it as you need
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