It is also frustrating when different calculators have different orders of operations and dont tell you.
Yeah, but to be fair most of them do tell you the order of operations they use, they just bury it in a million lines of text about it. If they could all just check with some Maths teachers/textbooks first then it wouldn't be necessary. Instead we're left trying to work out which ones are right and which ones aren't. Any calculator that gives you an option to switch on/off "implicit multiplication", then just run as fast as you can the other way! :-)
I recall that there is a myriad of memes of the form 'what is 4-2*3' under which there is always a never ending discussion of confidently incorrect dumbasses denying the existence of the multiplication before addition rule.
Isn't the "-" order of operations the same as a multiply ? I think I learned powers take priority over the "-" so your calculator would be right.
But either way if it can cause confusion you should use parentheses.
Every calculator I've used has separate negative and subtraction keys for this purpose. There is no order of operations to follow, it's just a squaring a number
I learned negative as being a separate operation where we need to apply the order of operations. I think it was something like :
-2 is a diminutive for -1x2 so it uses the order of operations of a multiplication.
My calculator is the official one used in schools in France (ti-83 premium ce) and it says -2^2 = -4 with the negative key.
I don't think it would make a mistake in such a simple concept.
But whatever these concepts can change depending on the field, country, level of education. What I mean is : it's unclear, so use parentheses. So (-2)^2 or -(2^2) are the correct ways to write it.
I think it was something like : -2 is a diminutive for -1x2
Correct. Things that are usually left out of Maths expressions are plus signs, ones as multipliers/indices, and un-needed brackets. e.g. I could more fully write this as -1(4)², but that just simplifies to -4²
I would never write -n². Either ‐(n²) or (-n)². Order of operations shouldn't be some sort of gotcha to trick people into misinterpreting you, it's the intuitive reading of a well constructed mathematical expression.
Ah, I wasn't thinking of calculators that let you type in a full expression. When I was in school, only fancy graphing calculators had that feature. A typical scientific calculator didn't have juxtaposition, so you'd have to enter 6÷2(1+2) as 6÷2×(1+2), and you'd get 9 as the answer because ÷ and × have equal precedence and just go left to right.
you’d get 9 as the answer because ÷ and × have equal precedence and just go left to right
Well, more precisely you broke up the single term 2(1+2) into 2 terms - 2 and (1+2) - when you inserted the multiplication symbol, which sends the (1+2) from being in the denominator to being in the numerator. Terms are separated by operators and joined by grouping symbols.