Order of Operations

Order of Operations

Standard

6.N.11    Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols (+, –, x, ÷).  

 

Cluster

 

Vocabular

Grouping Symbols- symbols such as parenthese, brackets or fraction bars used to group parts of an expression.

Order of Operations- The order in which to perform operations when there is more than one operation in an expression. 

Objective

To learn the order of operations 

Lesson 

The order in which to solve an equations when there is more than one operation in a problem.

Parenthese            Please           

Exponents             Excuse

Multiply                My

Divide                  Dear

Add                     Aunt

Subtract               Sally

 

The rules for the Order of Operations are as follows:

1. Do all work in parentheses first.
2. Find the value of each expression with an exponent.
3. Do all the multiplications and divisions in order from left to right.
4. Do all the additions and subtractions in order from left to right.

 

EX.

 Evaluate 3 + 6 x (5 + 4) ÷ 3 - 7 using the order of operations.

Solution:     
Step 1:      3 + 6 x
(5 + 4) ÷ 3 - 7  =  3 + 6 x 9 ÷ 3 - 7 Parentheses
Step 2:      3 +
6 x 9 ÷ 3 - 7     =     3 + 54 ÷ 3 - 7    Multiplication
Step 3:      3 +
54 ÷ 3 - 7     =     3 + 18 - 7    Division
Step 4:     
3 + 18 - 7     =     21 - 7    Addition
Step 5:     
21 - 7     =     14    Subtraction

Practice 

If you need more practice, use the Online Tutorial used with our Text Book

Click on Learn the Lesson

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