This series of worksheets focuses on understanding the order to which approach multiple operations in the same problem.

When you are performing mathematical calculations, there are a few things you must keep in mind. For starters, the order of operations through which you'll solve problems is crucial to understand. But when does such an instance happen? It's when you have a problem that requires multiple operations, such as 4+2×3. Now, the confusion arises whether you want to perform addition first, then multiplication, or vice versa. The answer is simple, and we'll follow the order rule known as PEMDAS. PEMDAS stands for "Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction," and it has a mnemonic phrase "Please Excuse My Dear Aunt Sally," for better understanding. Let's solve an example to get a better understanding. 4 + (2 + 1)2, 4 + (3)2, 4 + 9 = 13.

Your students will use these worksheets to review how to apply the proper order of operations for equations containing multiple operators. When you run into a problem that contains multiple operations in the same mathematical statement, we have to follow a consistent order in which we process each operation. It will almost always change the final outcome based on if you process the sum, difference, product, or quotient first or last. For example, if you were confronted with the problem: 3 + 6 × 4 ÷ 2. If you were to process the operations in order (addition, multiplication, and finally division) you answer would be 18. If you were to go right to left (division, multiplication, and finally addition) you would end up with an answer of 15. If you were to use basic PEMDAS we would process (multiplication first, division second, and end with addition) our final answer would be 15 as well. Please note that in terms of PEMDAS multiplication and division are at the same level so in the example we would process the mix of multiplication and division left to right. We can easily see that these facts can become very confusing for young learners.

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Order of Operations Worksheets

Below you will find 3 category pages and below those are over 100 printable sheets.

Double Digit and Three Terms Worksheet

Students will solve a series of exercises that feature double and triple digits as well as three terms. You will get twelve chances on these guys.

Practice

Remember to evaluate left to right when you have operations that are at the same level. Twelve problems are provided.

Drill

Students will solve order of operations problems with double-digits and three terms. Twelve problems are provided.

Working with Parentheses Worksheet

The parentheses will now become a big factor in what is going on here. Twelve problems are provided.

Practice

We will work on some tried and true obstacles that will help us better understand the concepts. Twelve problems are provided.

Drill

The parentheses will be key here. Twelve problems are provided.

Three Terms with Negative Numbers Worksheet

Remember to take a step back and think things through.

Practice

We start to work with negative numbers in our calculations. You will get twelve chances on these guys.

Drill

For this selection of equations three terms and negative numbers exists. Students will solve these order of operations problems. Twelve problems are provided.

Negative Numbers and Parentheses Worksheet

Remember that when at the same level multiplication and division should be processed left to right. Twelve problems are provided.

Practice

Students will practice solving order of operations problems with three ternms, negative numbers, and parentheses. Twelve problems are provided.

Drill

Learn to recognize the series of operations that affect the entire exercise. You will get twelve chances on these guys.

Three Terms with Negative Numbers Worksheet

Think through these calculations mentally before you write anything on your page. Twelve exercises for you in all.

Practice

We get more practice with this skill in a stellar practice activity. Twelve times to get better.

Drill

A series of operations must be processed for these equations with three terms, negative numbers, and single digit numbers.

One Digit, Three terms Worksheet

We will work through exercises that have been designed for the most basic of skills.

Single-digit Three Factors Practice

These types of problems can often frustrate you if you do not work on seeing the whole picture. You will get twelve chances on these guys.

Single-digit Three Factors Drill

Do not get stuck with all of these operations and get caught up in the simple math. Twelve problems for you to work with.

Single-digit Three Factors with Parentheses Worksheet

You will tackle order of operations problems that have three single digit terms and parentheses.

Practice

Do not get stuck with all of these operations and get caught up in the simple math.

Drill

Do not rely on math in your head to solve the problems that have many different terms.

More On Parentheses Worksheet

If some of these problems are not thought through before you start, you will get two different answers.

Practice

Take a few minutes to think your way through all of these problems as you approach them.

Drill

Some of these problems can be a bit deceptive. Twelve problems for you to work with.

Double Digits, Four Terms, Negative Numbers Worksheet

We get an opportunity to work on this skill more.

Practice

Students will practice solving order of operations problems that feature four terms, double-digit numbers, and negative numbers.

Drill

We started in a small setting with these types of exercise. Now we jump up a level. Twelve problems for you to work with.

Mixed Digits with Four Terms Worksheet

Students will solve problems that have four terms and mixed digits.

Practice

You may note that division is not found in many cases.

Drill

Solve all twelve problems that incorporate everything that we have talked about so far.

Four Terms of Single Digits and Negative Numbers Worksheet

We will build a solid foundation off of these types of problems.

Practice

These are the promising skills you will begin and end with.

Drill

We take a step closer to algebra skills full on.

Single Digit Four Term Worksheet

Students will solve order of operations problems that have four terms and single digits.

Practice

Students will practice solving order of operations calculations in a select setting.

Drill

remember all of the concepts we have explored with this topic.

Two-step Problems Worksheet

Students will solve two-step problems.

Practice

We bump up the difficulty with two-step problems.

Drill

Students will solve order of operations problems requiring two steps.

Two-step Problems Intermediate Skills Worksheet

We would say these exercises start to bump to the next level.

Practice

Students will practice solving intermediate-level two-step order of operations problems.

Drill

We get in some more work with these types of problems.

Two-step Problems Basic Skills Worksheet

Students will solve twelve basic level problems to work on.

Practice

These problems will help you learn how to get these problems all set to go.

Drill

We will get after these order of operations problems.

Two-step Problems with Parentheses Worksheet

Do not let the parentheses position confuse you. Start breaking things down inside them.

Lesson

When there are parentheses, it is always evaluated first. This lesson walks you through it.

Lesson and One

We get more practice with processing these questions with parentheses.

Using Order of Operations Lesson

This worksheet explains what "Operations" means things like add, subtract, multiply, divide, squaring, etc. If it isn't a number, it is probably an operation.

Lesson and Practice

Students will evaluate the given expressions using order of operations. A sample problem is solved and two practice problems are provided.

Order of Operations Two-Steps Lesson

This worksheet will help you build a strategy to work on this with. A sample problem is solved.

Lesson and Practice

See if it helps you process these left to right, unless you see a division and multiplication symbol next to each other. A sample problem is solved and two practice problems are provided.

Two Steps Worksheet

Students will solve problems using two step order of operations skills.

Warm Up

A nice way to introduce and review this skill. Ten problems are provided.

Order of Operations Two-Steps Drill

Students will solve this series of ten problems that are provided.

Order Matters

Does the order matter? Check by calculating the answer in 2 or 3 different orders.

Advanced Worksheet

Students will solve problems by carrying out operations in the correct order. Ten problems are provided.

Practice the Skill

Write the expression using multiplication or exponents. Find the value

Advanced Practice

Some of these problems are pretty complicated.

Make It Real Worksheet

Put a parenthesis into the equation to make it true.

Practice

Students will practice carrying out operations in the correct order.

Basic Lesson

This series of problems will get working through everything.

3 Steps Try the Skill

Students will practice solving equations containing multiple operations. Three problems are provided.

Order of Operations 3-Steps Lesson

This worksheet explains how to solve problems using three-step order of operations. A sample problem is solved.

Extra Practice

You will get even more reps in with this sheet.

Worksheet

These are pretty complex ways to approach it. Ten problems are provided.

Practice

Students will practice carrying out three step operations in the correct order.

Drill

For these equations you will run through multiple operations. Eight problems are provided.

Warm Up

To perform any arithmetic operation we follow "PEMDAS" rule, the steps are as follows.

Using Order of Operations Worksheet

Rule 1: First perform any calculations inside parentheses (brackets).

Rule 2

Rule 2: Next perform all multiplications and divisions, working from left to right.

Ruke 3 Practice

Rule 3: Lastly, perform all additions and subtractions, working from left to right.

Order of Operations 4 Steps Worksheet

Students will solve problems by carrying out operations over a series of four steps Ten problems are provided.

Practice

More practice processing 4 step order of operations in the correct order.

Drill

Write the expression to match each instruction. For example: First add 30 and 40, then subtract the sum from 100.

Basic Warm Up

We examine how to process a four term order of operations problem. Three problems are provided.

Using Order of Operations Drill

Complete the operations within the parentheses () first. Eight problems are provided.

Class Sheet

More work on this series of order of operations problems. We have ten chances to practice here.

Your Practice

Who can not use more help and practice with this skill?

Worksheet

Students will solve eight simple order of operations problems.

Challenge

These three problems will help you better understand the course of the problems that are out there.

Drill

For equations containing multiple operations, students will carry out operations in the correct order. Eight problems are provided.

Order of Operations and Equations

Write an expression for the given condition. Mr. Brown and Mr. Dick bought a used boat for $1600. Then they repaired the boat and spent $200 on its maintenance. Write an expression to distribute the cost between them and find each person's expenses?

Order Me!

Solve the given problems in right order.

Lesson and Practice

Write the expression and solve: Sam has $1000 to be distributed among two groups equally. Later the first part is divided among five children and second part is divided among two brothers. Give the expression for money distribution between two brothers and their parts?

Worksheet

This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of a given expression.

Class Practice

Students will practice using order of operations to solve equations. Ten problems are provided.

Drill

When there are parentheses, the contents always evaluated first.

Try the Skill

Mark the description with the right number sentence. Mark cuts three 30 cm pieces of cloth from a 1 meter long cloth. Which calculation tells you about the piece that is left?

Sample Series

This worksheet will have you work on operations that should be carried out, and in which order, for equations containing multiple operations. A sample problem is solved.

My Worksheet

Students will carry out operations in the correct order. A sample problem is solved and two practice problems are provided.

Worksheet

Match the description with the right number sentence. Then calculate.

Story Problem Practice

Example problem: Julia walks 15 meters towards the hill from a point. He turns back and takes 8 steps of 1 meter each. Which calculation shows the distance with the initial point?

Drill

Example: Solve the following equation: 9 × (23 ÷ 4 × 5)

Warm Up

Students will practice solving equations containing multiple operations. Three problems are provided.

Order of Operations with Exponents

This worksheet explains how to use order of operations to solve equations with exponents. A sample problem is solved.

More Practice

Students will use the order of operations to solve for some expressions with exponents. A sample problem is solved and two practice problems are provided.

Worksheet

For problems with exponents we have to process that portion early in our calculations.

Practice

You will get more work with the order of operations to solve equations with exponents.

Basic Lesson

A set of rules for arithmetic operations are devised to perform calculations involving more than one arithmetic operation.

(2-step problems)- Worksheet 1

You will need to make two moves to complete these problems. Three problems are provided.

Drawing Ordered Pairs Warm Up

Students will draw ordered pairs on a grid. Three problems are provided.

Review

This worksheet reviews all the concepts we have discussed with order of operations to solve equations. A sample problem is solved, and two practice problems are provided.

2 Step Order of Operations Worksheet

Students will use 2 step order of operations skills to solve equations.

Cool Down

A nice way to breeze over this topic with students.

Review

The concept of how to use 2-step order of operations to solve equations is reviewed. A sample problem is solved and two more problems are given for you to work on.

Quiz

Students will demonstrate their proficiency with these skills and the overall concepts.

Check

See how you are doing with this topic.

Lesson

We walk you through a four step problem using what we have learned so far.

3 Step Order of Operations Worksheet

Students will use 3 step order of operations to solve equations.

Practice

Students will get themselves together to answer this series of exercises.

Review

The concept of how what we have seen with three step exercises is reviewed. A sample problem is solved.

Refresher

These activities will take five steps to complete them. Six practice problems are provided.

Quiz

Students will demonstrate their ability with these skills on a quiz.

Check

Good to use as an entire class. Three problems are provided, and space is included for students to copy the correct answer when given.

Lesson

We will breakdown a four step process.

4-step Order of Operations Worksheet

Students will use 4 step order of operations to solve equations.

Practice

This is a really helpful sheet to cover just about everything we have learned.

Review

The last in the series of sheets does a good job of summing up what we have learned. A sample problem is solved.