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Just to say that if you want a traditional 'times' sign, similar to the letter 'x', then there are a couple of ways of getting it. You could use Character Palette, and search under Symbols > Mathematical Symbols to find your sign top row, third from the left. Alternatively, there's this web page where it's second row, second from the left ...
The multiplication sign * might be familiar as the multiplication for programmer, but I'm not sure about ordinary user. I don't know if I should use * or x for multiplication. The purpose is to provide user detail of how each field will be used:
Generally the multiplication sign is dropped for convenience. I suspect part of the reason for it in physics (which is where a lot of mathematical notation got its start) is that you can multiply anything together, but other operations have requirements on units. So you end up doing a lot more multiplying.
According to Doctor Peterson of The Math Forum, using juxtaposition to denote multiplication arises out of the spoken form of saying $2x$ as "two-ex". Jeff Miller says that this can be found as early as the 15th century in Europe, and as early as the 10th century in India.
With this interpretation 1 ÷ 2x is equal to (1 ÷ 2)x.1[6] However, in some of the academic literature, multiplication denoted by juxtaposition (also known as implied multiplication) is interpreted as having higher precedence than division, so that 1 ÷ 2x equals 1 ÷ (2x), not (1 ÷ 2)x. For example, the manuscript submission instructions for ...
Full stop as multiplication sign. 1. What does the multiplication in cosets mean? 0.
I google "latex symbols" when I need something I can't recall. That'll give you many lists and tips. For example, if you choose the first hit, the AoPS list and look for the sum symbol you'll find the product symbol right below it.
$\begingroup$ Actually exactly the difference between addition and multiplication symbols may be helpful. In Germany multiplication is dot only, and division is a colon (i.e. two dots). Plus and minus are the same as everywhere. This allows to state the arithmetic precedence rules with only three words: "Punkt vor Strich", "dot before line".
$\begingroup$ You have arrived at the correct answer for what is written, however the multiplication sign DOES make a difference if it's written, because it then becomes 4:2x(1+1)=4:2x2=2x2=4, and that was the original question - does being written without a multiplication sign make a difference to the precedence, and the answer is yes, it does.
Even on the page of that instution, the use of full stop (in addition to x) as the multiplication sign is promoted. I started programming six years ago, and probably that's the reason I don't feel comfortable using full stop as multiplication.