5x5+5x5+5-5x5 = 750 or 30?

[PeteinAlaska]

What is the correct answer?? With no "( )" in present in its original presentation should the math just be followed thru as 5x5 =25 +5 =30 x5 =150 +5 =155 -5 =150 x5 = 750? Or add in the "( )" and change the governance of the equation allowing for a correct answer of 30?

 

[i7Baby]

BOMDAS - Brackets, Of, Multiply, Divide, Add then Sunbtract in that order

 

[felix09]

30. Even without "()" multipication/division always takes priority

 

[bob hays]

do all the multiplication first and then add, so

5x5 + 5x5 + 5 - 5x5

25 + 25 + 5 - 25
50 - 20 = 30

 

[Someone Somewhere]

BEDMAS. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

5x5 + 5x5 + 5 - 5x5
 25 + 25  + 5 - 25
   50   +   5 - 25
       55     - 25
           30

I have seen some places say that division and multiplication are done simultaneously, and the same with addition/subtraction.

 

[bob hays]

^^that is true because they are the same degree of operation. For multiplication and division it is whichever operation comes first in the question

 

[Someone Somewhere]

I'll have to do some checking; I think it might not actually make a difference.

 

[PeteinAlaska]

Thank you all! I agree that BOMDAS sequence for math solution but I'm concerned with the way this is formatted for solution may not fit that rule set.
If I were a carpenter for instance this would be how a line of measurements would be presented when determining a wall leant for example. Each numeral being a measurement. Say in inches, the wall would be 750 inches or 62 feet 6 inches.
Why is this solution incorrect? Is it in correct? It seems to me that if 30 is presumed to be the correct answer its because the presentation of the problem has been changed by the presuming that brackets are included. If this is so why can't it then also be presented as 5x(5+5)x(5+5)-(5x5)? Is this presentation any more valid than that which provides the answer 30? From my point of view it has to be worked as its presented with an answer of 750. If a builder used BOMDAS to solve this nothing would get build correctly. Is it equally possible that bot 30 and 750 are correct depending what your solving for?
I'm not trying to be difficult here just trying to solve what I think may have more than one answer depending on what its being solved for.
Thanks to all for their comments and help! Pete sends ...

 

[Someone Somewhere]

I'm confused with your carpenter analogy, though I live in a Metric country.

No; there's only one answer. If you want a different answer, use different/more brackets.

We do not do maths from the beginning of the equation; much of mathematics is written upon the assumption that order does not matter.

 

[PeteinAlaska]

I agree with your assumption that order dosn't matter. I don't agree there is only one answer. Inch or metric isn't important here. I'm suggesting that how the list of numbers and operations is provided is yet another way to solve this. If I'm given a list of numbers like "five times five, plus five more, times five more, add an additional five, subtract five here, and times it all again by five" would it not look like 5x5+5x5+5-5x5 and have a correct answer of 750? If this is incorrect then I have been building large structure projects wrong for the past 36 years and the math and trig I use daily is wrong. All I'm trying to determine here is if the presentation of a problem may also suggest its solution?

 

[Someone Somewhere]

No, it wouldn't. Because of the commas, which are essentially brackets in english.

If you wanted to speak that, I would say five times five, plus five times five, plus five, minus five times five.

Yours would be expanded as ((((5x5) + 5) x 5) + 5) - 5) x 5 (you can remove some of the extra brackets).

 

[PeteinAlaska]

Ok, I think I have a better understanding of this now. Thank you one and all for your responses and insight. I will look forward to a time where I may be able to contribute to someone's question with equal knowlage and patience.
Best regards, Pete sends...

 

[peterorl]

Simply 30

 

[i7Baby]

Oh cumon SS - close this. Its getting stale.