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I am always doing

that which I can not do,

in order that I may

learn how to do it.

that which I can not do,

in order that I may

learn how to do it.

Pablo Picasso 1881 - 1973

Spanish artist

Spanish artist

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**Evaluating algebraic expressions can be a simple process,**but
needs to follow an order of operations to get the right answer.

The sequence details the order you follow to

add, subtract, multiply, and divide. The order is:

**P.E.M.D.A.S**.
**Parenthesis |
Exponents |
Multiplication |
Division |
Addition |
Subtraction**

- Perform the operations inside a parenthesis first
- Then exponents
- Then multiplication and division, from left to right
- Then addition and subtraction, from left to right
- You can also create a little phrase to memorize, as the
sequence:
*Please Excuse My Dear Aunt Sally*

**3 * ( 5 + 8 ) - 2 ^{2} / 4 + 3**

**P**arenthesis first: 5 + 8 = 13

**3 * 13 - 22 / 4
+ 3**

**E**xponent next: square the 2 or 2^{2} = 4

**3 * 13 - 4 / 4 + 3**

**M**ultiplication and **D**ivision next (3 * 13) (4 / 4)

left to
right:

**39 - 1 + 3**

**A**ddition and **S**ubtraction next

left to right:

**39 - 1 + 3 = 41**

Note that we first subtracted 1 from 39 (*left to right!*),

then added the 3 for the correct answer, **41**.

Word problems, exercise I | Word problems, II | Word problems, III |

Evaluating algebraic expressions-P.E.M.D.A.S. | | P.E.M.D.A.S. II |

P.E.M.D.A.S. III | Creating and developing spreadsheets | Sudoku 数独