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6 - 1 x 0 + 2 / 2 =

6 - 1 x 0 + 2 / 2

  • 1

    Votes: 208 39.0%
  • 2

    Votes: 4 0.8%
  • 3

    Votes: 1 0.2%
  • 4

    Votes: 14 2.6%
  • 5

    Votes: 84 15.8%
  • 6

    Votes: 28 5.3%
  • 7

    Votes: 190 35.6%
  • 8

    Votes: 1 0.2%
  • 9

    Votes: 3 0.6%

  • Total voters
    533






SeagullSongs

And it's all gone quiet..
Oct 10, 2011
6,937
Southampton
:lol: now you're just being silly.

EDIT - strangely your next post gets it right:

To be fair I was never taught that A+S and M+D (easier writing them that way) were of equal precedence, but I guess I've naturally interpreted it the right way anyway! My maths teacher always taught me to read a subtract sign as adding a negative number, so I'm not being that silly, it works and it still leads to the right answer.

Again using my above example for addition and subtraction, but it also works for multiplication and division when there's also a subtraction.

10 - 3 + 2

The correct answer is 9 (and not 5, which we get when we add 3 and 2 first to get 5,and then subtract it from 10 to get the final answer of 5), which is best understood by thinking of the problem as the sum of positive ten, negative three, and positive two.

10 + (-3) + 2


My own example:

10 - 5 x 2 can be read as:

10 - (5 x 2)
or 10 + (-5 x 2), both giving the answer of zero.

Doing calculus in A-level, it's actually much less confusing using the latter method when dealing with many different functions and having negatives of negatives of negatives of negatives, etc. :)
 
Last edited:




chucky1973

New member
Nov 3, 2010
8,829
Crawley
i dont get it, though the answer was 3.5!!!
6-1 = 5
x0 = 5
+2 = 7
/2 = 3.5

Am I being thick? (which out reading 4 165 messages!)
 














Triggaaar

Well-known member
Oct 24, 2005
52,121
Goldstone
To be fair I was never taught that A+S and M+D (easier writing them that way) were of equal precedence, but I guess I've naturally interpreted it the right way anyway!
Indeed. Doing addition before subtraction, and ignoring order, is simply wrong. I don't know if it matters if you always do subtraction before addition, perhaps someone can give an example if that does matter. Same with division and multiplication, does it matter if you do one before the other?

My maths teacher always taught me to read a subtract sign as adding a negative number, so I'm not being that silly, it works and it still leads to the right answer.
Ok, fair enough. I just got confused when you said -1 x 0, as I don't think I noticed/understood your + sign after the six.
 




teaboy

Well-known member
Jul 5, 2003
1,840
My house
No I actually don't. 100-10+10=100, right? -10+100+10=100 so does 10-10+100. I can not see how to get 80 at all.
Subtraction is simply the addition of a negative number.
2-1=1. This is the same as saying 2+(-1)=1. They are the same. The same applies for division. 10/5=2. This is the same as 10*0.2=2. They are the same as 1/5 IS 0.2. No?

100-10+10=100
100-(10+10)=80

It's about doing things in the correct order, or from left to right if the functions are of similar importance.
 






Triggaaar

Well-known member
Oct 24, 2005
52,121
Goldstone
No I actually don't. 100-10+10=100, right? -10+100+10=100 so does 10-10+100. I can not see how to get 80 at all.
Already answered above, but to explain some more:

Let's swap the + to a x:
100 - 10 x 10
here we all know you do the multiplication first so that simplifies to 100 - 100 which = 0.

Now swap the x back to a +, and if the order didn't matter, and you did addition before subtraction (because you say order doesn't matter), then
100 - 10 + 10 would simplify to 100 - 20 which = 80.

So you can see that you mustn't do the addition before the subtraction, unless it is to the left.

EDIT - obviously I appreciate that you could swap the -10 to a + -10, so your equation would go from 100 - 10 + 10 to 100 + -10+10, giving you the correct answer (100 + 0), and that's fine, but let's not pretend it's simply doing the addition first. It's finding a way around the problem of doing the addition first. So you can say the order doesn't matter if you apply my special work around, but that work around isn't a given. It's also easier subtract positive numbers in your head than it is to add negative numbers.
 
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Brightonfan1983

Well-known member
Jul 5, 2003
4,863
UK
Doing calculus in A-level, it's actually much less confusing using the latter method when dealing with many different functions and having negatives of negatives of negatives of negatives, etc. :)

That's interesting; I've never looked at it that way before but it certainly simplifies things.
 




Guinness Boy

Tofu eating wokerati
Helpful Moderator
NSC Patron
Jul 23, 2003
36,594
Up and Coming Sunny Portslade
As we're all posting the answer now it's 7. That's what I voted for pretty much because it was correct.
 


Acker79

Well-known member
NSC Patron
Nov 15, 2008
31,921
Brighton
How do you get 20 from -10+10!? You can get 20 from 10+10, but we don't have that one is -10 the other is 10.
-10+10=0 so does +10-10=0.

As someone else has already pointed out, it's not been taken as -10+10 it's been taken as 100 - (10+10).
 




Triggaaar

Well-known member
Oct 24, 2005
52,121
Goldstone
How do you get 20 from -10+10!?
There is no negative 10. That's where you're getting this all wrong. You want to create a negative 10 because that's the way you like to do it, but it's not in the equation to start with.

The equation is 100 - 10 + 10.
If that was a negative 10 (I'm telling you it's not), then the operation between 100 and negative 10 would be missing. If it was a negative 10 it would need a + sign before it: 100 + -10 + 10, but that + sign is not there.

Let's do this with words instead of symbols:
100 less 10 plus 10 (you can see there is no negative 10 there).
That should equal 80, but if we were to do the plus operation first, we'd have 10 plus 10 equals 20, so the equation would simplify to 100 less 20.

You can get 20 from 10+10, but we don't have that one is -10 the other is 10.
That is wrong, as I've explained above. For it to be a -10 there would need to be another operation before it, telling you what to do with that -10. Is it 100 times -10, or divided by -10? No, it's 100 minus 10 (or 100 plus -10).
 


Shifty89

New member
Sep 29, 2007
228
Already answered above, but to explain some more:

Let's swap the + to a x:
100 - 10 x 10
here we all know you do the multiplication first so that simplifies to 100 - 100 which = 0.

Now swap the x back to a +, and if the order didn't matter, and you did addition before subtraction (because you say order doesn't matter), then
100 - 10 + 10 would simplify to 100 - 20 which = 80.

So you can see that you mustn't do the addition before the subtraction, unless it is to the left.

EDIT - obviously I appreciate that you could swap the -10 to a + -10, so your equation would go from 100 - 10 + 10 to 100 + -10+10, giving you the correct answer (100 + 0), and that's fine, but let's not pretend it's simply doing the addition first. It's finding a way around the problem of doing the addition first. So you can say the order doesn't matter if you apply my special work around, but that work around isn't a given. It's also easier subtract positive numbers in your head than it is to add negative numbers.

Look buddy, it DOES NOT MATTER what order you do addition/subtraction and multiplication/division in (multiplication/division before addition/subtraction of course), provided of course that you are able to add/ subtract and multiply/divide properly, which you appear to be unable to do.

When you say doing addition first is equivalent to
100 -(10 + 10) you are wrong!
the '-' sign is attached to the 10 it preceeds, it is a negative number! If you want to put the brackets in that way you will have to factor out a -1 from ALL numbers within the brackets, like so
100 - 10 + 10 = 100 - (10 - 10).

Doing addition first the equation would be as such
100 - 10 + 10 = 110 - 10 = 100
and doing subtraction first
100 - 10 + 10 = 90 + 10 = 100
THE SAME (correct) ANSWER!

Please feel free to take notes and ask questions by raising your hand.
 


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