# Pre-Algebra : Order of Operations

## Example Questions

### Example Question #121 : Operations

Solve the equation below:

Explanation:

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 #122 : Operations

Solve using the order of operations:

Explanation:

The order of operations is the order in which you must solve a problem.  The order is defined as

PARENTHESES

EXPONENTS

MULTIPLICATION

DIVISION

SUBTRACTION

where we solve parentheses first, followed by exponents, and so on.  Following the order of operations, we get

### Example Question #121 : Operations And Properties

Solve using the order of operations:

Explanation:

The order of operations is a specific order in which you must solve a problem.  It is defined as

PARENTHESES

EXPONENTS

MULTIPLICATION

DIVISION

SUBTRACTION

where you solve parentheses first, followed by exponents, and so on.

So, following this order, we get

PARENTHESES

MULTIPLICATION

DIVISION

SUBTRACTION

### Example Question #124 : Operations

What is the solution to the following problem?

Explanation:

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:

1. Parentheses
2. Exponents
3. Multiplication and Division (whichever comes first as you read the problem from left to right)
4. Addition and Subtraction (whichever comes first as you read the problem from left to right)

Step 1: Parentheses

Step 2: Exponents

Step 3: Multiplication

### Example Question #125 : Operations

Fifty friends are renting a restaurant venue for a graduation party. Rental of the venue requires a  up-front deposit plus a  per hour operation cost. The friends have booked the venue from  to . If the friends have agreed to split the cost evenly, how much money should each person expect to pay?

Explanation:

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  to .

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 #121 : 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

Explanation:

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 #121 : Order Of Operations

Select the equation that reflects the phrase below.

First subtract  and , then divide by .

Explanation:

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 #8 : 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  and , then multiply by