### "Implicit" multiplication

The International Organization for Standardization (ISO) has a document ISO 80000-2 whose topic is "Mathematical signs and symbols to be used in the natural sciences and technology".

It says (in a 2020 version), regarding the two standard symbols for multiplication, "Either symbol may be omitted if no misunderstanding is possible". It does not follow up by saying that when the symbol has been omitted the multiplication automatically rises to a higher level of precedence.

Consider four expressions:
4+(5-2)
4-(5-2)
4*(5-2)
4/(5-2)
The notational convention is that in one of those four cases the operator adjacent to the opening bracket can be omitted. That case is multiplication.

The idea that omitting the operator automatically gives it higher precedence than division is ludicrous. Omitting the operator can not, and should not, change its meaning.

Of course, it is true that algebraic notations such as xy or 2x are considered grouped. But the similarity of, for example 2(3), to such algebraic expressions superficial, and is not a basis for considering 2(3) grouped.

That's my perspective, anyway.