Until this viral debate on social media I never dreamed that people could come up with the idea of defining two different kinds of multiplications: implicit (juxtapositioned) and explicit. Where the implicit multiplication has higher precedence than the explicit multiplication.
I was tought: there are four basic operators: addition, subtraction, multiplication and division. Later on, we learned that it‘s allowed to be lazy and don‘t have to write the multiplication dot. But this lazyness is pure syntactic/ typesetting sugar and doesn‘t change the order of operations. We might not write the multiplication operator but it is (from a mathematical point of view) still there. And as it‘s still there, the order of operation is applied as if it was written - order of appearence aka left to write.

Until this viral debate on social media I never dreamed that people could come up with the idea of defining two different kinds of multiplications: implicit (juxtapositioned) and explicit. Where the implicit multiplication has higher precedence than the explicit multiplication.

I was tought: there are four basic operators: addition, subtraction, multiplication and division. Later on, we learned that it‘s allowed to be lazy and don‘t have to write the multiplication dot. But this lazyness is pure syntactic/ typesetting sugar and doesn‘t change the order of operations. We might not write the multiplication operator but it is (from a mathematical point of view) still there. And as it‘s still there, the order of operation is applied as if it was written - order of appearence aka left to write.