Pre-Algebra : Order of Operations
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #121 : Order Of Operations
Solve the equation below:
When solving an order of operations question use the GEMDAS method.
G = Grouping Symbols
E = Exponets
M/D = Multiplication OR Division from left to right.
A/S = Addition OR Subtraction from left to right.
Example Question #121 : Order Of Operations
Solve using the order of operations:
The order of operations is the order in which you must solve a problem. The order is defined as
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
where we solve parentheses first, followed by exponents, and so on. Following the order of operations, we get
Example Question #121 : Order Of Operations
Solve using the order of operations:
The order of operations is a specific order in which you must solve a problem. It is defined as
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
where you solve parentheses first, followed by exponents, and so on.
So, following this order, we get
PARENTHESES
MULTIPLICATION
DIVISION
SUBTRACTION
Example Question #121 : Order Of Operations
What is the solution to the following problem?
This problem requires proper order of operations. Remember the acronym for the order of operations: PEMDAS. This acronym will help you to remember the proper order for solving problems:
- Parentheses
- Exponents
- Multiplication and Division (whichever comes first as you read the problem from left to right)
- Addition and Subtraction (whichever comes first as you read the problem from left to right)
Step 1: Parentheses
Step 2: Exponents
Step 3: Multiplication
Step 4: Addition
Example Question #122 : Order Of Operations
Fifty friends are renting a restaurant venue for a graduation party. Rental of the venue requires a 
First, let's write an equation that will calculate the cost for each person.
We need to calculate the number of hours that the students plan to rent the venue from 
Let's add these values together to calculate our x-variable (i.e. the number of hours that the students will rent the venue).
Now, we can substitute in the number of hours that the students will rent the venue and calculate the cost that each student should expect to pay.
Last, we need to divide this total cost by the number of students.
Example Question #123 : Order Of Operations
Fahrenheit temperature can be converted to its Celsius equivalent using the following formula:
Similarly, Celsius temperature can be converted to its Fahrenheit equivalent using another formula:
A scientist knows that nickel melts at the following temperature:
In order to complete an experiment, the scientist needs to know this temperature in degrees Fahrenheit. What is the melting point of nickel in degrees Fahrenheit?
None of these
Since we are converting from Celsius to Fahrenheit, we need to use the following formula:
Substitute the value for the melting point of nickel in degrees Celsius and solve.
According to the order of operations, we need to perform the multiplication/division operations first.
Simplify.
Solve.
Example Question #161 : Common Core Math: Grade 5
Select the equation that reflects the phrase below.
First subtract 
Because we want to subtract 28 and 17 first, we need to set that off into parentheses due to the order of operation rules. Remember: without parentheses, division would come before subtraction. The parentheses around (28 - 17) tells you that the subtraction comes first, then we can do the division by 3.
Example Question #2 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2
Select the equation that reflects the phrase below.
First add 
Because we want to add 
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