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About John Zalewski
Expertise
I can help you solve problems involving fractions, decimals, ratios, and algebra. I can teach you how to do math faster, and even in your head. I can teach math definitions, and help you study, if necessary. Please do not ask any graphing, trigonometry, or calculus questions. Try to work through homework questions before asking for assistance.

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I routinely process numbers of all kinds in my head, without need of a calculator.

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I was an A math student while in high school.
 
   

You are here:  Experts > Science > Math for Kids > Basic Math > Mathmatical Reasoning

Basic Math - Mathmatical Reasoning


Expert: John Zalewski - 10/7/2008

Question
Why does the left to right rule mean that you don't always do multiplication before division or addition before subtraction?

Answer
Hello, Raven.

This is the phrase to remember: Please Excuse My Dear Aunt Sally.

P is for Parentheses, E is for Exponents, M is Multiplication, D is for Division, A is for Addition, and S is for Subtraction.


Parentheses and exponents always come before the last four. However, multiplication and division are actually grouped together, as are addition and subtraction.

In actuality, it reads "Parentheses Exponents (Multiplication and Division) (Addition and Subtraction)."


Division is done before multiplication, or subtraction before addition, if they are further left in the problem.

For example, in the problem 5/5x6, the answer is 6. First, you have to divide 5 by 5, getting an answer of 1, and then multiply 6 by 1, giving you 6.

Hope this helps.

Regards,
John

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