Unfortunately, questions such as these are a waste of time because they cause people to argue over precedence. So the correct answer is "state the precedence rules you want to use first -- then it's easy to calculate the answer.
This is however not exactly the case....PEMDAS or BODMAS is a universal rule
The nearly universal mathematical convention dictates the following order of operations (in order of which operators should be evaluated first):
Factorial.
Exponentiation.
Multiplication.
Division.
Addition.
Any parenthesized expressions are automatically higher ``priority'' than anything on the above list.
Then there is this one: -2^2
Is it 4 or -4?
It's not a standard, it's a convention, like I said I'm really curious if there are an standards organization that reference these conventions. Otherwise the standards you know to be true are nothing more than figments of imagination, they have to be ratified by an organization like the one that came up with and continues to evolve the set of SI units.It is the standard, though I'm constantly surprised how many people have never heard of it.
Definitely!!Hmm, this is worth looking further into....
I have a problem with this; the negative is a sign indicator not an operation. It would in fact be 4.According to the order of operations, exponents would come first, before subtraction. Therefore, it would equal -4. For it to be 4, it'd have to be (-2)^2. Most scientific calculators will give you an answer of -4 if you have -2^2.
I have a problem with this; the negative is a sign indicator not an operation. It would in fact be 4.
Yep, unary minus comes first. Got at least one of ya.
Could you state the standards you used to derive this information?A negative sign simply stands in for 0-x. Therefore, a negative is the same as subtraction. For example, let's say you're adding 2X and -X. You simply say 2X MINUS X, which equals 1X.
Could you state the standards you used to derive this information?
The positive square of ANY number positive or negative is always positive, This is one of the reasons RMS is so useful, sign goes out the window.
I wouldn't say that. This particular problem definitely has an exact answer. PEMDAS or BODMAS is a universal rule, meaning that regardless of where you are, it still holds true. Unfortunately, this rule wasn't taught to some of the members here, which causes the problem. But, regardless of how you look at this one, the answer is still definitely B.
I wouldn't say that. This particular problem definitely has an exact answer. PEMDAS or BODMAS is a universal rule, meaning that regardless of where you are, it still holds true. Unfortunately, this rule wasn't taught to some of the members here, which causes the problem. But, regardless of how you look at this one, the answer is still definitely B.
Hi,
I agree mostly so the correct answer is 41, but there are exceptions.
For example:
"In the following example we will use left to right order of calculations ignoring the normal rules of algebra:"
"40+40*0+1=1"
In this case what are we to do, contact the author and tell him that he got it wrong, or accept his rule for doing calculations?
What if we cant find him/her? Do we throw the book in the garbage?
Luckily this doesnt happen often in modern books or even older ones, but in hand calculators it does. Some of the cheaper ones dont want to have to keep track of multiplications and additions and whatever so they just spit out the answer after each new entry. Is it wrong? Yes it is, but if you know this in advance you can still use the calculator for many tasks anyway.
In the lack of any other context however i'd always assume multiplication and division before addition and subtraction even without parens, unless the author gave examples where it was clear he/she was using simple left to right calculation order.
I guess what i am trying to say is that we might run into both kinds of rules so we do have to be prepared just in case.
You're inferring something with no standards based proof...If you're squaring a negative number, than yes, I agree--it will always be positive. However, squaring a negative number means that you have the negative number first, and raise it to the second power. That would look like (-2)^2. -2^2 is completely different.
DerStrom... I am unable to find a standard for mathematical operations, only a convention, if this doesn't fundamentally bother you.... I don't agree or disagree with anyone; I share my thoughts as I see them.
What you know as absolute fact is not what everyone else does.. This is why standards exists in the first place! Which is why I'm surprised I haven't found any in regards to order of operations.
A negative sign simply stands in for 0-x. Therefore,
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