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Order of Operations Word Problem Worksheets

Tips for Conquering Word Problems - Do you think that the toughest things the most difficult time of your life is when you encounter word problems? So how do you tackle these world problems to become an efficient and confident word-problem solver? If you feel like you need help, here are a few tips that will surely come in handy! When you see a word problem, you don't have to freak out. What you need to do is to assume that your word problem is divided into three parts; before, during, and after. We will take every part one by one and tackle them! Before - Before you reach the "during phase," your strategy has to be to Plan out the whole process. Here is what you need to do: Read and visualize. Re-read the problem and code. Sketch and predict. Read the word problem thoroughly and find out what the problem is asking, and what a reasonable answer would be. During - Once you have sketched a rough outline of what needs to be done, all you have to do now is to see whether your strategy fits or not. Here, the problem needs to be solved, and this is what you have to do: Show your strategy and skills. Use your thinking skills. While solving the questions, you need to make sure that the strategy you are using is ideal, and just to be sure, look for ay other possibilities through which you can solve your question. After - We often tend to make mistakes in our questions and don't realize until it is usually too late. So, what you need to do is: Recheck your work. Read the question once more. Make sure you answered the question. Make sure that you have re-read the question and that whatever your answer is, it is according to the question. Answer the question in one sentence, and you are done! A series of worksheet and lesson topics that will help students learn to properly proceed through word problems that require a use of multiple operations. Your first step will be to determine the correct order to process each of these operations in.

Aligned Standard: 5.OA.1

• Kahuna Killer Coffee House's Warehouse Lesson - How many cups of coffee can Kahuna make with the stock in the warehouse? You will start this problem by writing it out as a single string equation and then determine the order to process the operations in.
• Jacob's Boat Guided Lesson - Besides boat deals, Michelle is taking kids to the park and Gabe has to determine how cars he has on the dealership car lot.
• Guided Lesson Explanation - The last problem is difficult for this level, see if they can get it.
• Computer Problems - Worksheet 1 - Working at a computer store involves a great deal of math.
• Trucking Word Problems - Worksheet 2 - You might wonder about the title for this one, but they all involve trucking and shipping. Some of these problems will have many different steps take your time to determine the order.
• Animals on McDonald's Farm - Worksheet 3 - It's amazing what you can tell from a simple tally.
• Mass Operations Word Problems 3-Pack Series - This is the absolute awesome series of order of operations based story problems for students to master at this level. Members only access.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

Very clearly written problems that focus on simple calculations and PEMDAS.

• Homework 1 - Sally has 15 marbles and gives Jack 5. If she gives half of what remain to Joe, how many marbles does she have left? Most of these problems will have you processing either a division/multiplication operation with adding/subtraction. Remember which comes first.
• Homework 2 - Bob is the manager of an apartment complex. If the complex has 56 one bedroom apartments, 72 two bedroom apartments, and 102 three bedroom apartments, how many bedrooms are in the entire complex?
• Homework 3 - How many points did Brian and Tim score together from the floor (do not count free throw)?

Practice Worksheets

See if the second practice sheet makes you brighter.

• Practice 1 - Sarah bought 2 tables that cost $20 each and 8 chairs for $10 each. She bought enough plates to have one for each chair. If the plates cost $2 each, how much did she spend in all?
• Practice 2 - If someone sponsors Dwight for $2.50 per mile to hike the Eastern Continental Trail one way and he only hikes half the trail how much would the sponsor owe Dwight?
• Practice 3 - Tom prints photos that cost 6 cents each. He prints 2 photos from the 1st day, 12 photos from the 2nd day, and he has 3 photos from each of the two art museums. How much will he spend in all?

Math Skill Quizzes

The question sets are pretty wordy and they have a few twists in them.

• Quiz 1 - Mrs. Smith has 40 packs of construction paper and each pack contains 20 red, 30 black, 30 white, 15 blue, and 15 green pieces of paper. How many pieces of paper does Mrs. Smith have?
• Quiz 2 - Susan is responsible for producing payroll reports for Smith and Company. The company pays the following full time employees: 10 employees that make $950 per week, 2 employees that make $1025 per week and the CEO who makes $1500 per week. How much do all the full time employees make per week?
• Quiz 3 - Brandon plays for his high school baseball team the Braves. For the season Brandon hits 22 singles, 8 doubles, 1 triple, and 2 home runs. If Brandon went to bat 72 times how many times did he not get a hit?

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Order of Operations Worksheets

Welcome to the order of operations worksheets page at Math-Drills.com where we definitely follow orders! This page includes Order of Operations worksheets using whole numbers, integers, decimals and fractions.

Elementary and middle school students generally use the acronyms PEMDAS or BEDMAS to help them remember the order in which they complete multi-operation questions. The 'P' or 'B' in the acronym stands for parentheses or brackets. All operations within parentheses get completed first. The 'E' refers to exponents; all exponents are calculated after the parentheses. The 'M' and 'D' are interchangeable as one completes the multiplication and division in the order that they appear from left to right. The fourth and final step is to solve for the addition and subtraction in the order that they appear from left to right.

More recently, students are being taught the acronym, PEMA, for order of operations, to avoid the confusion inherent in the other acronyms. For example, in PEMDAS, multiplication comes before division which some people incorrectly assumes means that multiplication must be done before division in an order of operations question. In fact, the two operations are completed in the order that they occur from left to right in the question. This is recognized in PEMA which more correctly shows that there are four levels to complete in an order of operations question.

Unless you want your students doing something different than the rest of the world, it would be a good idea to get them to understand these rules. There is no discovery or exploration needed here. These are rules that need to be learned and practiced and have been accepted as the standard approach to solving any multi-step mathematics problem.

Most Popular Order of Operations Worksheets this Week

Order of Operations With Whole Numbers and Integers

The worksheets in this section include questions with parentheses, addition, and multiplication. Exponents, subtraction, and division are excluded. The purpose of excluding some parts of PEMDAS is to ease students into how the order of operations works. To help students see a purpose for the order of operations, try to associate the expressions with related scenarios. For example, 2 + 7 × 3 could refer to the number of days in two days and three weeks. (9 + 2) × 15 could mean the total amount earned if someone worked 9 hours yesterday and 2 hours today for $15 an hour.

• Order of Operations With Whole Numbers (Addition and Multiplication Only) 2-Step Order of Operations with Whole Numbers ( Addition & Multiplication Only ) 3-Step Order of Operations with Whole Numbers ( Addition & Multiplication Only ) 4-Step Order of Operations with Whole Numbers ( Addition & Multiplication Only ) 5-Step Order of Operations with Whole Numbers ( Addition & Multiplication Only ) 6-Step Order of Operations with Whole Numbers ( Addition & Multiplication Only )

The worksheets in this section include questions with parentheses, addition, subtraction, and multiplication. Exponents and division are excluded. This section is similar to the previous one in that it is meant to help ease students into the order of operations without complicating things with exponents and division.

• Order of Operations With Whole Numbers (Addition, Subtraction and Multiplication Only) 2-Step Order of Operations with Whole Numbers ( Addition, Subtraction & Multiplication Only ) 3-Step Order of Operations with Whole Numbers ( Addition, Subtraction & Multiplication Only ) 4-Step Order of Operations with Whole Numbers ( Addition, Subtraction & Multiplication Only ) 5-Step Order of Operations with Whole Numbers ( Addition, Subtraction & Multiplication Only ) 6-Step Order of Operations with Whole Numbers ( Addition, Subtraction & Multiplication Only )

One last section to help ease students into the order of operations or simply for students who haven't learned about exponents yet. The questions on the worksheets in this section include parentheses and all four operations.

• Order of Operations With Whole Numbers (No Exponents) 2-Step Order of Operations with Whole Numbers ( No Exponents ) 3-Step Order of Operations with Whole Numbers ( No Exponents ) 4-Step Order of Operations with Whole Numbers ( No Exponents ) 5-Step Order of Operations with Whole Numbers ( No Exponents ) 6-Step Order of Operations with Whole Numbers ( No Exponents )

The worksheets in this section include questions with parentheses, exponents and all four operations.

• Order of Operations With Whole Numbers (All Operations, Parentheses and Exponents) 2-Step Order of Operations with Whole Numbers 3-Step Order of Operations with Whole Numbers 4-Step Order of Operations with Whole Numbers 5-Step Order of Operations with Whole Numbers 6-Step Order of Operations with Whole Numbers
• Order of Operations With Integers (No Exponents) 2-Step Order of Operations with Integers and No Exponents 3-Step Order of Operations with Integers and No Exponents 4-Step Order of Operations with Integers and No Exponents 5-Step Order of Operations with Integers and No Exponents 6-Step Order of Operations with Integers and No Exponents

The worksheets in this section include parentheses, exponents, and all four operations.

• Order of Operations With Integers (All Operations, Parentheses and Exponents) 2-Step Order of Operations with Integers 3-Step Order of Operations with Integers 4-Step Order of Operations with Integers 5-Step Order of Operations with Integers 6-Step Order of Operations with Integers

Order of Operations With Fractions and Decimals

As with other order of operation worksheets, the fractions order of operations worksheets require some prerequisite knowledge. If your students struggle with these questions, it probably has more to do with their ability to work with fractions than the questions themselves. Observe closely and try to pin point exactly what prerequisite knowledge is missing then spend some time going over those concepts/skills before proceeding. Otherwise, the worksheets below should have fairly straight-forward answers and shouldn't result in too much hair loss.

• Order of Operations with Positive Fractions (No Exponents) 2-Step Order of Operations with Positive Fractions (No Exponents) 3-Step Order of Operations with Positive Fractions (No Exponents) 4-Step Order of Operations with Positive Fractions (No Exponents) 5-Step Order of Operations with Positive Fractions (No Exponents) 6-Step Order of Operations with Positive Fractions (No Exponents)
• Order of Operations with Positive Fractions 2-Step Order of Operations with Positive Fractions 3-Step Order of Operations with Positive Fractions 4-Step Order of Operations with Positive Fractions 5-Step Order of Operations with Positive Fractions 6-Step Order of Operations with Positive Fractions
• Order of Operations with Positive and Negative Fractions 2-Step Order of Operations with Positive & Negative Fractions 3-Step Order of Operations with Positive & Negative Fractions 4-Step Order of Operations with Positive & Negative Fractions 5-Step Order of Operations with Positive & Negative Fractions 6-Step Order of Operations with Positive & Negative Fractions
• Order of Operations With Positive Decimals 2-Step Order of Operations with Positive Decimals 3-Step Order of Operations with Positive Decimals 4-Step Order of Operations with Positive Decimals 5-Step Order of Operations with Positive Decimals 6-Step Order of Operations with Positive Decimals
• Order of Operations With Positive and Negative Decimals 2-Step Order of Operations with Positive & Negative Decimals 3-Step Order of Operations with Positive & Negative Decimals 4-Step Order of Operations with Positive & Negative Decimals 5-Step Order of Operations with Positive & Negative Decimals 6-Step Order of Operations with Positive & Negative Decimals
• Order of Operations With Positive Decimals (European Format: Comma Decimal) 2-Step Order of Operations with Positive Decimals (Comma Decimal) 3-Step Order of Operations with Positive Decimals (Comma Decimal) 4-Step Order of Operations with Positive Decimals (Comma Decimal) 5-Step Order of Operations with Positive Decimals (Comma Decimal) 6-Step Order of Operations with Positive Decimals (Comma Decimal)
• Order of Operations With Positive and Negative Decimals (European Format: Comma Decimal) 2-Step Order of Operations with Positive & Negative Decimals (Comma Decimal) 3-Step Order of Operations with Positive & Negative Decimals (Comma Decimal) 4-Step Order of Operations with Positive & Negative Decimals (Comma Decimal) 5-Step Order of Operations with Positive & Negative Decimals (Comma Decimal) 6-Step Order of Operations with Positive & Negative Decimals (Comma Decimal)
• Order of Operations With Fractions and Decimals Mixed Order of Operations with Fractions & Decimals Mixed Order of Operations with Fractions & Decimals Mixed with some Negative Values

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Choose Math Operation Game Choose the mathematical operation(s) so that the number sentence is true. Practice the role of zero and one in basic operations or operations with negative numbers. Helps develop number sense and logical thinking.

Order of operations: lesson for third grade A free lesson for grade 3 about the order of operations. For this grade level, the lesson only deals with addition, subtraction, and multiplication.

• The first generator (grades 2-5) lets you choose from five different operations to include (the four basic operations plus exponents), choose to include parentheses or not , and choose the basic number ranges used in the different operations. You can use decimals or whole numbers. This generator uses the symbol × for multipliciation and ÷ for division, as is customary in elementary grades. You can also control the workspace below problems, font size, and the border around each problem. Unfortunately, the first generator does not work correctly if you include both exponents and parenthesis. Sorry about that! However, I feel it is STILL very useful for what it does do.
• The second generator (grades 6-9) includes by default all four operations and parenthesis. You can choose to include exponents or not. The second one uses a raised dot (·) for multiplication (as is customary in algebra). It uses a fraction line for division, and thus involves fractions . Again, you can include decimals or not, control the number of problems, workspace below the problems, font size, and whether there is a border around the problems.

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6th Grade Order of Operations

Welcome to our 6th Grade Order of Operations page. Here you will find our range of 6th Grade worksheets which will help your child apply and practice using the PEMDAS rule to solve a range of different problems and challenges.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

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6th Grade Order of Operations Worksheets

Here you will find a range of problem solving worksheets which involve using knowledge of the order of operations.

The sheets have been put in order of difficulty, with the easiest first.

Each problem sheet comes complete with an answer sheet.

We have split our sheets into 3 different sections:

• the first section involves working out the value of different expressions
• the second section involves solving inequalities comparing 2 different expressions
• the third section is the hardest and involves using arithmetic skills to solve more challenging problems.

Using these sheets will help your child to:

• use and apply the PEMDAS rule to work out the value of different expressions
• use the PEMDAS rule to solve a range of problems

Quicklinks to ...

• Order of Operation Worksheets
• Order of Operation Inequalities
• Order of Operation Challenges
• Order of Operations online quiz
• More recommended resources

These sheets are put in order of difficulty with the easiest sheet first.

All the questions involve working out the value of a range of different expressions.

The first sheet is a multiple choice sheet, the other sheets require a numerical answer.

• Order of Operations Sheet 6.1
• PDF version
• Order of Operations Sheet 6.2
• Order of Operations Sheet 6.3

Order of Operations Solving Inequalities

These sheets involve comparing the values of 2 different expressions.

• Order of Operations Inequalities Sheet 1

Order of Operations Challenges

These sheets involve solving more complex Order of Operations problems.

• Order of Operations Challenges 6.1
• Order of Operations Challenges 6.2

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Order of Operations Worksheets and Support

• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets 5th Grade

6th Grade Ratio and Unit Rate Worksheets

These 5th grade ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
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• Ordering and Comparing Rational Numbers

This page is all about ordering and comparing rational numbers which include absolute values, negative numbers, fractions and decimals.

The sheets on this page are trickier than the ones shown here and are aimed at 6th grade and above.

6th Grade Mental Math Quizzes

Here you will find a range of printable mental math 6th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

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• Expressions and Equations 6th Grade

The sheets on this page have been specially designed for 6th graders and are a great introduction to expressions and equations.

6th Grade Order of Operations Online Quiz

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This quiz tests your skill and apply your knowledge of the order of operations here.

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ORDER OF OPERATIONS WORD PROBLEMS

Problem 1 :

Adam has $450. He spends $210 on food. Later he divides all the money into four parts out of which three parts were distributed and one part he keeps for himself. Then he found $50 on the road. Write the final expression and find the money he has left?

The final expression which represents the total amount of money Adam has left :

= [(450 - 210)  ÷ 4] + 50

Amount of money Adam has left is $110.

Problem 2 :

You pay $1.00 to buy a package of paper napkins costing 64¢. How much change will you get back? Give the expression also.

The final expression which represents the change you will get back :

= $1 -  64¢

In the expression above, one value is in dollars and other value is in cents. To simplify the above expression, both the values must be in same unit.

Since 1$ = 100 ¢, m ultiply the dollars by 100 to convert it to cents.

= 1x100¢ - 64¢

Now, both the values are in the same unit, cents.

The change will you get back is 36¢.

Problem 3 :

Sam has $1,000 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 that represents how the money distribution between two groups was dispersed?

Since $1,000 is distributed among two groups equally, amount of money that each group gets :

First Part :

The expression which represents the amount of money that each child gets in the first part :

= (1000/2)  ÷ 5

In the first part, each of the five children gets $100.

Second Part :

The expression which represents the amount of money that each brother gets in the second part :

= (1000/2)  ÷ 2

In the second part, each of the two brothers gets $250.

Problem 4 :

Andy has $1,500 and he invested in stock. In one day, his money was doubled. The next day he got a profit of $165 and later loss of $238. Write an expression for this and determine his present amount.

The expression which represents Andy's present amount :

= 1500 x 2 + 165 - 238

Andy's present amount is $2927.

Problem 5 :

Linda bought 3 notebooks for $1.20 each, a box of pencils for $1.50, and a box of pens for $1.70. Write an expression for Linda's total expenditure and find how much she paid in all.

The expression which represents Linda's expenditure :

= 3x1.20 + 1x1.50 + 1x1.70

Linda paid $6.80 in all.

Problem 6 :

Mel had $35 and withdrew $200 from his bank account. He bought a pair of trousers for $34.00, 2 shirts for $16.00 each, and 2 pairs of shoes for $24.00 each. Give the final expression, and determine how much money Mel had at the end of the shopping day.

The final expression which represents the money Mel had at the end of the shopping day :

= 35 + 200 - 34 - 2x16 - 2x24

Amount of money that Mel had at the end of the shopping day is $121.

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Grade 5 PEMDAS Worksheets

Order of operations with exponents and parenthesis.

Our grade 5 order of operations worksheets include the use of simple exponents, parenthesis and nested parenthesis  with the 4 standard operations.

The PEMDAS acronym

parenthesis - exponents - multiply/divide - add/subtract

reminds students as to the correct order of operations.

Sample PEMDAS worksheet

More order of operations worksheets

Browse all of our order of operations worksheets , from adding and subtracting with parenthesis to full PEMDAS worksheets including exponents.

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