Guido

Lesson: Order of Operations

 

When a numerical expression has two or more operations, there is a specific order in which these operations must be done.

 

When doing PEMDAS:

 

1-parentheses are done first
2-exponents are done next
3-multiplication and division are done as they are encountered from left to right.
4-addition and subtraction are done as they are encountered from left to right.

 

Doing "order of operations" is needed when

working with such math topics as evaluating formulas, solving equations, evaluating algebraic expressions, and simplifying monomials and polynomials. 

 

PEMDAS = Parenthesis, Exponents, (Multiplication/Division), (Add/Subtract)...in that order.

 

The reason (multiplication & division) and (addition & subtract) are "grouped" in sets of parentheses is that when those operations are next to each other you do the math from left to right not from right to left.  You do not always do multiplication or addition first.  It may be the case where division will be done BEFORE multiplication or subtraction will be done BEFORE addition. 

 

Sample A:

 

8 - 6 + 2 = 

 

2 + 2 = 4

 

Sample B:

 

2 + 3[ 5 + (4 - 1)2] =

2 + 3[5 + (3)2] =

2 + 3[5 + 9] =

2 + 3[14] =

2 + 42 = 44

====================

5 Practice Problems:

(1) 4 + 6 (3+1)2 =

(2) 75 - 2(5+3) =

(3) 3 + 22(1+9) = 
 
(4) (24 - 6)/(3 - 2) =
 
5)   62 + 73 + 83 =
 
Have fun!


 

   

 

 

     

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