@Proton2: Spaces have nothing to do with it at all. Wolfram Alpha treats 48/2*(9+3) exactly the same. http://www.wolframalpha.com/input/?i=48%2F2*%289%2B3%29

Since the order of operations defines division and multiplication as having the same precedence, they must be treated from left to right, that is, you must divide in this case before multiplying.

What does temperature have to do with it? Absolutely zero.

I think I trust Wolfram Alpha over OneNote, even if I didn't already know BEDMAS.

Even if you are having trouble believing that it should be left to right in this case (aside from the parenthesis (or bracketed) portion, consider:

48 * (1/2) * (9+3) = 48 * (1/2) * 12 = 48 * 0.5 * 12 = 48 * 12 * 0.5 = 48 * 12 * (1/2) = 576/2 = 288

And,

48 * ((1/2) * (9+3)) = 48 * ((1/2) * 12) = 48 * (0.5 * 12) = 48 * = 288

There are many rational ways to evaluate the expression using left to right precedence of the multiplication and division operators. However, the only way to get 2 is to assume everything to the right of the divisor is automatically part of the divisor because it's not in parenthesis, and ignore left to right order when evaluating the expression and that's wrong, because consider what kind of mess we'd be in if we didn't choose either left to right or right to left! What if we have:

48*1/2*1/4?

Left to right,

48*1/2*1/4 = ((((48*1)/2)*1)/4) = (((48/2)*1)/4) = ((24)*1)/4) = (24/4) = 6, or alternatively:

(48*1)/2*1/4 = (48/2)*1/4 = (24*1)/4 = 24/4 = 6, or you don't even need to consider the brackets:

48/2*1/4 = 24*1/4 = 24/4 = 6, and the result is always the same.

Assuming everything to the right of the divisor, however is not nearly as intuitive:

48*1/(2*1/4) = 48*1/(2/4) = 48*(1/0.5) = 48*2 = 96

Or, how about 8/2/4/5*2/6*1/8/1*5*1/1/1/1*5? Left to right it's simple, just perform each operation in order from left to right.

LTR:

8/2/4/5*2/6*1/8/1*5*1/1/1/1*5 = 4/4/5*2/6*1/8/1*5*1/1/1/1*5 = 1/5*2/5*2/6*1/8/1*5*1/1/1/1*5 = 0.20*2/5*2/6*1/8/1*5*1/1/1/1*5 = .40/5*2/6*1/8/1*5*1/1/1/1*5 = 0.08*2/6*1/8/1*5*1/1/1/1*5 = 0.16/6*1/8/1*5*1/1/1/1*5 = 0.0266...*1/8/1*5*1/1/1/1*5 = 0.0266.../8/1*5*1/1/1/1*5 = (1/300)/1*5*1/1/1/1*5) = (1/300)*(5*1/1/1/1*5) = (1/300)*(5*5) = (1/300)*25

= 25/300 = 0.0833....

(I took a shortcut, seeing that 0.0266.../8 = 1/300). A pain to type out, but on a calculator it's easy to verify.

However, assuming everything left of the divisor as part of the divisor is **crazy,** and no fun at all. Try it and see for yourself ... I started and I certainly don't want to do it. It's just not rational to do it that way; we have to choose, left to right, or right to left. It happens that we have chosen left to right.