Welcome to Math 6

ORDER OF OPERATIONS

OBJECTIVE:

Each student will understand and use the order of operations.

The Connector…

We have spent a lot of time on understanding and practicing the basic operations of arithmetic.

This lesson will deal with how to approach more than one operation in the same problem.

The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

Order of Operations

1-Parentheses and Bracketsfrom the inside out

2-Exponents 3-Multiplication and Division

in the order they appear. 4-Addition and Subtraction

in the order they appear.

80 - 2 × 7 =              

6 × 4 + 6 =

18 ÷ 6 × (4 - 3) + 6=

14 - 8 + 3 + 8 × (24 ÷ 8)= 

 

Key Point:

Although P.E.M.D.A.S. lists multiplication before division, always work from left to right, multiplication or division first, whichever comes first in the problem.

Key Point:

Although P.E.M.D.A.S. lists addition before subtraction, always work from left to right, addition or subtraction first, whichever comes first in the problem.

ConclusionWhen expressions have more than one operation, we have to follow rules for the order of operations:

1- Simplify parentheses.

2- Simplify exponents.

3- Working from left to right, do all multiplication and division.

4- Finally, working from left to right, do all addition and subtraction.

Assignments

Solve the problems on the attached worksheets.