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Math Test
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Feb 22, 2019 11:21:08   #
Dikdik Loc: Winnipeg, Canada
 
bobmcculloch wrote:
Seems that's the way I learned the rules.


Shouldn't be...

Dik

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Feb 22, 2019 11:36:11   #
John_F Loc: Minneapolis, MN
 
The final -3 +3 cancel one another. As the posed problem contains no ()s to direct the order of calculation every order is permissible of which the simplest takes priority. One could factor out 3 which would yield 3((1+3)-1+1) = 3(4) = 12

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Feb 22, 2019 11:39:45   #
Dikdik Loc: Winnipeg, Canada
 
John_F wrote:
The final -3 +3 cancel one another. As the posed problem contains no ()s to direct the order of calculation every order is permissible of which the simplest takes priority. One could factor out 3 which would yield 3((1+3)-1+1) = 3(4) = 12


I'd have done 3 + (3*3) -3 +3

Dik

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Feb 22, 2019 12:01:16   #
Jeffers
 
Plug the problem into separate Excel cells, once with parentheses, once without. In both cases you get 12. Plug it into a cell phone calculator without parentheses. Again 12. Apparently, machines know how to apply the rule in the absence of parentheses.

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Feb 22, 2019 12:05:44   #
markngolf Loc: Bridgewater, NJ
 
jerryc41 wrote:
This type of computation drives a friend of mine crazy, and he refuses to accept the correct answer.


7th grade/8th grade/Alg1 concepts of order of operations are the key. It's really simple. Providing no parentheses, exponents first, multiplication and divisions - left to right 2nd - then last are additions and subtractions, left to right. So:
1. 3+3x3-3+3 = 3+9-3+3 = 12-3+3 = 9+3 = 12
Mark

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Feb 22, 2019 12:27:36   #
John_F Loc: Minneapolis, MN
 
Add to exponents any other operators like square roots, trig functions, integrals, differentiations, etc.


markngolf wrote:
7th grade/8th grade/Alg1 concepts of order of operations are the key. It's really simple. Providing no parentheses, exponents first, multiplication and divisions - left to right 2nd - then last are additions and subtractions, left to right. So:
1. 3+3x3-3+3 = 3+9-3+3 = 12-3+3 = 9+3 = 12
Mark

Reply
Feb 22, 2019 12:29:59   #
markngolf Loc: Bridgewater, NJ
 
John_F wrote:
Add to exponents any other operators like square roots, trig functions, integrals, differentiations, etc.


Yes, of course. However, those components are not needed to simplify the expression.
Mark

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Feb 22, 2019 12:32:49   #
brent46 Loc: Grand Island, NY
 
b

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Feb 22, 2019 12:48:29   #
markngolf Loc: Bridgewater, NJ
 
Jeffers wrote:
Plug the problem into separate Excel cells, once with parentheses, once without. In both cases you get 12. Plug it into a cell phone calculator without parentheses. Again 12. Apparently, machines know how to apply the rule in the absence of parentheses.


The devices don't know how to simplify the expression. The code written in the devices know how.
Mark

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Feb 22, 2019 12:55:06   #
flyguy Loc: Las Cruces, New Mexico
 
Shellback wrote:
PEMDAS or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Start Divide/Multiply from left side to right side since they perform equally.

Start Add/Subtract from left side to right side since they perform equally.

First part of an equation is start solving inside the 'Brackets'.
Example; (6 + 4) × 5
First solve inside ‘brackets’ 6 + 4 = 10, then 10 × 5 = 50.


So answer for 3+3*3-3+3 = 12

Multiplication
3*3=9
=
3+9-3+3

Addition
3+9=12
=
12-3+3=15-3

Subtraction
15-3=12

Hence the answer is 12
PEMDAS or br Parentheses br Exponents br Multip... (show quote)



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Feb 22, 2019 13:10:38   #
Amielee Loc: Eastern Washington State
 
The rule is Please Excuse My Dear Aunt Sally: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. The order in which operations are performed. The answer is 12 but my Office Depot calculator gives 18 as the answer. My Casio calculator give 12 as the answer. The Casio is correct.

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Feb 22, 2019 13:18:27   #
frankraney Loc: Clovis, Ca.
 
jerryc41 wrote:
This type of computation drives a friend of mine crazy, and he refuses to accept the correct answer.


B, 12.

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Feb 22, 2019 13:19:10   #
whatdat Loc: Del Valle, Tx.
 
18

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Feb 22, 2019 13:39:20   #
Bykewrydr Loc: Alberta
 
b

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Feb 22, 2019 14:06:42   #
nekon Loc: Carterton, New Zealand
 
The way this is written:

3+3*3=18, - 3+3=12

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