EDIT: Thanks to a helpful comment I see why I was wrong.
This is very clearly incorrect.
Let A = 10 and B = C = D = 1.
Let π = 5
10 - 1 + 1 = 10 - 1 - 1 or 8 = 8
You need to relearn arithmetic.
Elaborate
10 - 1 + 1 = 10.
This isn’t helpful when my error was misremembering how to use the order of operations while showering. You should work on your communication skills before trying to correct my faulty math equations in the future.
Removed by mod
No need to be so hostile over a simple mix up bud.
I was trying to figure out how you came up with this - even given that you’re reh learning math - and thought “oh, maybe their native language is read right to left, so 1 + 1 = 2, and 10 - 2 = 8.” But then doing that you’d also go “1 - 1 = 0, and 10 - 0 = 0,” so I honestly don’t know how you’re getting there.
And then I thought, “maybe they think subtraction comes first”, but then (10 - 1) + 1 is 10, and (10 - 1) - 1 is 8.
I can’t think of any consistent rules that would produce this. You’d have to do:
- 10 - (1 + 1), and
- (10 - 1) - 1
I’m really curious about your thought process.
Incidentally, my wife was home schooled except her mother didn’t participate, so she never learned anything beyond basic addition and subtraction, and the single digit multiplication table. When she finally went for her GED she was in her 20’s, and we spent many, many hours together tutoring.
So, you’re getting a lot of negative reactions, but don’t let it get you down. Keep up with it; it’s valuable to learn.
BTW, my wife eventually graduated Summa Cum Laude in both her Bachelor’s and her Master’s degrees - non-STEM, so algebra was all she needed, but she fought hard for that 4.0, and she got it.
I am not sure how I mixed that up but for some reason in my head I was thinking “Do Addition then (should read “and”) Subtraction in order from left to right”. This is why it is a shower thought and why I am brushing up on my math. haha
This is the back story of the silliness from another comment. I simply misremembered what to do and did addition before subtraction instead of left to right. I am still not sure exactly why because I literally just read a section on order of operations and my brain did the rest. I am usually not so bad at math, but my brain can be my worst enemy. haha
did addition before subtraction instead of left to right
No, what you actually did was put it inside brackets, thus changing the number of terms. Doing addition first gives the exact same answer as doing subtraction first…
subtraction first 10-1+1=9+1=10
addition first 10+1-1=11-1=10
You did 10-(1+1), hence the wrong answer. It doesn’t matter which order you do it, though often students make mistakes with signs when they change the order, which is why we teach to do left to right.
The brackets are used to make the equation look cleaner, and the issue for declaring the statement true was doing Addition and Subtraction in the wrong order.
A - ( B x C ) + ( D x E ) = A - ( B x C ) - ( D x E )
Using your example:
10 - 1 + 1 = 10 doing the subtraction first. 10 - 1 + 1 = 8 doing the addition first.
When doing the other side of the equation:
10 - 1 - 1 = 8 regardless of order because it is all subtraction. edit: Brain still waking up it is not the same regardless of order, but you do it left to right making it incorrect to do 1-1 first.
By doing it out of order and incorrectly I was able to make my statement true that as long as A was greater than the sum of B-E both sides would be equal.
The brackets are used to make the equation look cleaner
No, they’re used to show deviations from the usual order of operations. If I want 2+3x4 to equal 20, then I have to write (2+3)x4.
10 - 1 + 1 = 8 doing the addition first
No it isn’t. 10+1-1=11-1=10 is doing the addition first. Note same answer. You in fact did 10-(1+1) - you added brackets which changed the answer, thus a wrong answer
10 - 1 - 1 = 8 regardless of order because it is all subtraction
Not all of it. You’re forgetting the 10 is really +10. -10-1-1 would be all subtraction. +10-1-1 is addition and subtraction.
it is not the same regardless of order
Yes it is! 😂 It is always the same regardless of order, as I have just shown you, again.
10-1+1=9+1=10
10+1-1=11-1=10
-1+1+10=0+10=10
1-1+10=0+10=10
1+10-1=11-1=10
-1+10+1=9+1=10
you do it left to right making it incorrect to do 1-1 first.
It’s NOT incorrect to do 10-1+1 or 10+1-1. It IS incorrect to do 10-(1+1), which is what you did
By doing it out of order and incorrectly I was able to make my statement true
It was solely because you did it incorrectly. Order doesn’t change anything.
I am not going to argue with you about it. This was resolved almost a month ago.
Read the original equation again, plug some numbers into it, and try again. If that doesn’t help, read the rest of the thread. If you still don’t get it I cannot help you.
Ah. So you gave addition a higher precedence than subtraction. That makes sense.
graduated Summa Cum Laude in […] her Master’s degrees
Graduate programs generally do not do Latin honors…
She graduated her Masters with a 4.0. I didn’t know graduate programs didn’t award a title, though. She did get extra tassels on her hat, so it was recognized, Latin honors or not.
Edit: her graduate program had an honors society, which was the equivalent of Summa for graduates. That’s what the tassels were for. I had to check with her: I didn’t myself rise to such lofty heights.
Top xx% may get “with distinction”. I held a 4.13 (capped at 4.0). I went on to teach at the institution for a few years after graduating as well. So I’ve spent a significant amount of time in academia.
But because of the higher standard for grad schools, typically requiring a 3.0+ to stay active (rather than the typical undergrad 2.0), latin honors dont make sense if the whole grad year is basically getting them. So they’re not commonly issued.
Are you assuming all addition operations come before all subtraction operations, regardless of order?
Are you trying to tell me that using the order of operations addition is not done before subtraction?
The standard order of operations is
- Parentheses
- Exponentiation
- Multiplication and division
- Addition and subtraction.
The operations on each row are equivalent, and are executed from left to right.
Thanks for being helpful. I am not sure how I mixed that up but for some reason in my head I was thinking “Do Addition then (should read “and”) Subtraction in order from left to right”. This is why it is a shower thought and why I am brushing up on my math. haha
If it helps to conceptualize, you can always replace subtraction and division with these equivalents without affecting the order:
a - b
= a + -b
= a + (-1*b)and
a / b
= a * b-1
= a * (1/b)
Q
