Order of Operations

1-2

Warm-UpsWrite an algebraic expression for each verbal expression.

1.  the product of the third power of a and the fourth          power of b

2.  six less than three times the square of y

3.  the sum of a and b increased by the quotient of b and a

4.  four times the sum of r and s increased by twice the difference of r and s

5.  triple the difference of 55 and the cube of w 

Vocabulary:

order of operations

Numerical expressions often contain more than one operation.  A rule is needed to let you know which operation to perform first.  This rule is called the order of operations.  

Order of Operations

Step 1:  Evaluate expressions inside grouping symbolsStep 2:  Evaluate all powersStep 3: Do all multiplications and/or divisions from left to right.Step 4:  Do all additions and/or subtractions from left to right.

PEMDAS

Please Excuse

MyDearAuntSally

Evaluate Expressions:

a.  6 +4 -2 *3                       

b.  48/2^3*3+5            

Grouping Symbols:

a.  (8-3) * 3(3+2)

           

b.  4 [12/ (6-2)]^2

           

Fraction Bar:

a.  2^5 - 6*2  3^3 - 5*3 - 2

           

Evaluate an algebraic expression:

a.  Evaluate:     2(x^2 - y) + z^2    if x=4, y=3, and z=2.

           

Architecture Ex.

Each of the four sides of the Great Pyramid at Giza, Egypt, is a triangle.  The base of each triangle originally measured 230 meters.  The height of each triangle originally measured 187 meters.  The area of any triangle is one-half the product of the length of the base b and the height h.  b.  Write an expression that represents the area of one side of the Great Pyramid.c.  Find the area of one side of the Great Pyramid.

Glencoe/McGraw-Hill 2003