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## MAP Recommended Practice

### Course: MAP Recommended Practice>Unit 17

Lesson 11: Order of operations

# Worked example: Order of operations (PEMDAS)

The order of operations (PEMDAS) is essential for solving complex math problems. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (same level), and Addition and Subtraction (same level). By following these steps, you can simplify and accurately solve mathematical expressions, ensuring a correct final answer. Created by Sal Khan.

## Want to join the conversation?

• Do square roots count as exponents? Or are they in a separate spot, and if so, where is that spot?
• They are the same - a square root is the same as raising a number to the half power so it is a type of exponent.
• why did Sal say a hairy beastly problem?
• Hi, Alex,

A "hairy beastly problem" refers to a difficult or challenging problem. It sounds weird but it isn't.

-Logical
• Does Pemdas Equal P: Parentheses E: Exponents M: Multiplication D: Division A: Addition S: Subtraction?
• Yes, PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.
• 7x2 + (7+3(5-2)) / 4x2
7x2 + (7+3x3) / 4x2
7x2 + 16 / 4x2
14 + 16 / 8
14 + 2
=16 Did I get it that time
• what you did wrong was that you did 4*2 before 16/4
In Pemdas it says multiplication then division but their actually the same level. If you would've watched the other videos, he would've explained it to you.
7 * 2 + (7+3(5-2)) /4 * 2
first solve 5-2=3 because it's in parenthesis.
7 * 2 + (7+3*3) /4 * 2
then solve 3*3=9 because multiplication and division come before addition and subtraction
7 * 2 + (7+9) / 4 * 2
then solve 7+9=16 because it's in parenthesis
7 * 2 + 16 /4 * 2
then solve 7*2=14 Because Multi comes before + and -
14 + 16 /4 * 2
after, solve 16/4=4 notice I did division before the Multiplication. why because the one that comes first is the one you solve first. Even if M comes before D in Pemdas.
14 + 4 * 2
then solve 4*2=8 because peMdas
14 + 8
last but not least solve 14+8=22 because it's the last expression.
• When you have parentheses within parentheses, isn't one supposed to use brackets and also parentheses? Or does it not matter?
• I might use brackets instead of curved parentheses for better discernment, but it is not really a rule (as in not really a rule of mathematics). Also, if after using the parentheses, just use brackets for the second group/section, and not both.

Furthermore, "{" and "}" are more used in creating lists of numbers, rather than basic parentheses "(" and ")". However, the best thing to do for any group/pair is to "begin" and "end" with the same type of brackets, regardless of their level/order.

For example, if I happen to have three different levels which I have orders (that do not follow the regular order of operations), I might use something like {[(9+7)*2]-5} The overall expression is read "9 plus 7 (equals 16), times 2 (equals 32), minus 5 (equals 27).
• Parenthesies is the same as brackets, right?
and in BODMAS, what does 'O' stand for?
• So Melanie, O in BODMAS stands for operations. Hope this helps! Its a little different from PEMDAS, but the concept is basically the same.
• i use BODMAS
• Different countries use different letters to represent the order of operations, but the meaning is still the same.

Have a blessed, wonderful day!
• (5)(4) is apparently 5x4 . Where is the lesson on this website about not needing the "x"
and why you use "." (dot) to mean multiplication as well? Thanks
• We do not use x for the multiplication symbol because it may be confused with the variable _x_.
`https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-intro-to-variables/v/why-aren-t-we-using-the-multiplication-sign`
• What does BODMAS stand for ; (
• Brackets, Order(Exponent), Division, Multiplication, Addition, Subtraction
Remember that Division and multiplication can happen in any order, while addition and subtraction have the same order of preference, so you must go from left to right; however, other than that, follow the rule.