The Facts On File Algebra Handbook

CHARTS & TABLES Operations of Squares – P.E.M.D.A.S.

CHARTS & TABLES Operations of Squares – P.E.M.D.A.S.

P.E.M.D.A.S.

The order of operations used to evaluate any expression is called

P.E.M.D.A.S. An easy way to remember the order of operations is

“Please Excuse MyDear Aunt Sally,” and it stands for doing the

math in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

It is important to remember to always do the multiplication and

division before doing any addition and subtraction, so when both

multiplication and addition are inside the parentheses, the

multiplication needs to be done first. Here is an example of an

expression evaluated using P.E.M.D.A.S.:

(8 + 3 ×5) – 4 ÷ 2

Parentheses:

(8 + 3× 5 )– 4 ÷ 2

Multiplication:

(8 + 3 ×5)– 4 ÷ 2

(8 + 15) – 4 ÷2

Addition:

(8 + 15)– 4÷2

(23) – 4 ÷ 2

Division:

(23) – 4 ÷2

(23) – 2

Subtraction:

(23) – 2 = 21

Operations of Squares

Multiplication

√–a×√–b =√–a×b

For example, √

• 4 ×√
  
  
  • 9 =√– 4 ––×9 =√
    
    
    • 36
      √
    
    
    
    
  
  
  
  


• 
  

  ab = √–a×√–b
  For example, √

  
  


• 
  

  36 = √

  
  


• 
  

  4 ×√

  
  


• 
  

  9
  Addition
  √–a +√–a = 2√–a