order of operations 5th grade homework

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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Order of Operations Worksheets (Grade 5)

Related Topics: More Math Worksheets More Grade 5 Math Lessons Grade 5 Math Worksheets

Printable “Order of Operations” Worksheets: Order of Operations (+, -, ×, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis, exponents) Order of Operations (introduce exponents)

Examples, solutions, videos, and worksheets to help Grade 5 students learn how to use the order of operations for addition, subtraction, multiplication, division, parenthesis & exponents.

Order of Operations for Grade 5

In grade 5, students continue to build on their understanding of the order of operations. The order of operations for grade 5 follows the same principles as in grade 4, but it includes exponents to represent repeated multiplication and nested parenthesis. (refer to the above links if you need to build on your understanding of order of operations)

Here’s the order of operations for grade 5:

• Perform calculations inside parentheses first, starting from the innermost parentheses and working outward.
• Evaluate any exponents or powers (repeated multiplication) in the expression.
• Perform multiplication and division operations from left to right.
• Perform addition and subtraction operations from left to right.

Example: Expression: 5 + (3 × 4) - 2² Perform calculations inside parentheses: 3 × 4 = 12 Expression becomes: 5 + 12 - 2² Evaluate the exponent: 2² = 2 × 2 = 4 Expression becomes: 5 + 12 - 4 Perform addition and subtraction: 5 + 12 = 17 17 - 4 = 13 Therefore, 5 + (3 × 4) - 2² = 10. We can write the evaluation like this: 5 + (3 × 4) - 2² = 5 + 12 - 2² = 5 + 12 - 4 = 17 - 4 = 13

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Order of Operations Worksheets .

There are 2 sets of order of operations worksheets:

• Order of Operations: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
• Order of Operations: Nested Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

More Order of Operations Worksheets

Printable (Answers on the second page.) Order of Operations Worksheet #1 (+, -, ×, ÷, parenthesis, exponents) Order of Operations Worksheet #2 (+, -, ×, ÷, exponents, nested parenthesis)

Online or Interactive Order of Operations (+, –) Order of Operations (parenthesis, +, –)

Order of Operations (×, ÷ ) Order of Operations (parenthesis, ×, ÷)

Order of Operations (×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –)

Order of Operations (Include exponents)

Mixed Operations 1 Mixed Operations 2 Mixed Operations 3

Related Lessons & Worksheets

Order of Operation Lesson

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Order of Operations Worksheets

Rich with scads of practice, our printable order of operations worksheets get learners in grade 4 through grade 7 acquainted with the rule of performing the operations in the right order. The pdfs help grasp a procedural understanding of how to apply the order of operations using mnemonics like PEMDAS, DMAS, BEDMAS, or BODMAS in some countries, and the latest addition being GEMS to solve arithmetic expressions involving whole numbers, integers, fractions and decimals. Go ahead, use our free order of operations worksheets and solve arithmetic expressions in a jiffy!

» Evaluating Expressions with Exponents

» Evaluating Expressions with Parentheses

Order of Operations | 4 Basic Operations - Level 1

Apply the order of operations on expressions involving three whole numbers or integers. Direct grade 4 and grade 5 children to multiply or divide first, then add or subtract to solve the arithmetic expressions.

• Download the set

Order of Operations | DMAS - Level 2

Offering three levels of difficulty, the printable order of operations worksheets provide practice in using DMAS on expressions with 4 integers and 3 operators; You miss the order, you miss the answer!

Solving using PEMDAS - Level 3

Go the extra mile with these PEMDAS worksheets. A few added terms in the arithmetic expressions won't be a cause of worry to the math nerds of grade 5 and grade 6 who constantly look for extra practice.

Parentheses, Brackets, and Braces

Demonstrate your knowledge of the order of operations by simplifying what's within the innermost layer of the parentheses () first, moving outward simplifying the square brackets [], and curly braces {}.

Order of Operations with Fractions and Decimals

The time is just ripe to blend the order of operations with fractions and decimals. Simplify the expressions in the parentheses first, followed by multiplication or division, then addition or subtraction.

Comparing Two Quantities

Revisit order of operations as you solve the expressions on either side and compare the quantities using = or ≠ in Part A, < > or = in Part B and match expressions in Part C in these printable PEMDAS worksheets.

Finding the Missing Number

Keeping in line with the order of operations, solve the known part, perform inverse operations on either side to isolate and find the unknown part that makes the equation true.

Finding the Missing Operator

The twist in this section of order of operation worksheets is finding the missing operator. Figure out if it is an addition, subtraction, multiplication or division operation that will make the equation true.

Filling in the Numbers

Refine the problem-solving skills of your grade 6 and grade 7 learners as they fill the specified operands in the right places to keep the equation balanced, using the order of operations.

Filling in the Operators

Go pondering, puzzling, and scratching your head as you try to fix the right operator in the right place to balance the two sides of the equation in these order of operation worksheet pdfs.

GEMS is a foolproof order of operations strategy, where G stands for Groupings: parentheses, brackets, braces, E for Exponents, M for Multiply/Divide, and S for Subtract/Add whichever comes first to solve the expressions.

Evaluating Numerical Expressions with Exponents

With the positive and negative exponents taking the lead, the expressions may seem a little tricky. The order of operation worksheets perfectly fit the gap and propel 6th grade and 7th grade students to spades of practice.

(45 Worksheets)

Evaluating Numerical Expressions with Parentheses

Cruise through this batch of pdf worksheets where students are expected to evaluate numerical expressions with parentheses, and nested parentheses in accordance with the order of operations.

(54 Worksheets)

Related Worksheets

» Exponent

» Laws of Exponents

» Evaluating Algebraic Expressions

» Evaluating using Algebraic Identities

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Unit 1: Decimal place value

Unit 2: add decimals, unit 3: subtract decimals, unit 4: add and subtract fractions, unit 5: multi-digit multiplication and division, unit 6: multiply fractions, unit 7: divide fractions, unit 8: multiply decimals, unit 9: divide decimals, unit 10: powers of ten, unit 11: volume, unit 12: coordinate plane, unit 13: algebraic thinking, unit 14: converting units of measure, unit 15: line plots, unit 16: properties of shapes.

Order Of Operations Games for 5th Graders

Online Order Of Operations Games for 5th Graders aligned with Common Core Standards. SplashLearn is an award-winning learning program used by more than 40 million children.

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Simplify Expressions with Two Operations Game

Ask your little one to simplify expressions with two operations to play this game.

Evaluate Expressions with Two Operations Game

Kids learn to evaluate expressions with two operations.

Simplify Expressions with 2 or More Operations Game

Kids must simplify expressions with 2 or more operations.

Evaluate Expressions with 2 or More Operations Game

Enjoy the marvel of mathematics by learning to evaluate expressions with 2 or more operations.

Evaluate Algebraic Expressions with Two Operations Game

Use your math skills to evaluate algebraic expressions with two operations.

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Breadcrumbs

Order of Operations for Grade 5 Students

Here’s how to teach the PEMDAS order of operations to grade 5 students:

Start simply

Start with simple examples: Begin by using simple examples that involve only two operations, such as 5 + 2 x 3. Teach the students that they should first perform the multiplication (2 x 3) before adding 5 to the product (6 + 5 = 11).

Introduce parentheses

Once your student understands the concept of performing multiplication before addition, introduce parentheses. For example, 6 + (5 x 2) should be solved by first performing the multiplication (5 x 2 = 10) inside the parentheses, then adding 6 to the product (10 + 6 = 16).

Move on to more complex expressions

Once your kids are comfortable with simple examples, move on to more complex expressions, such as 3 x (5 + 2) - 4 / 2. Teach them to start with the parentheses (5 + 2 = 7), then perform the multiplication (3 x 7 = 21), and finally, perform the division (4 / 2 = 2) before subtracting (21 - 2 = 19).

Introduce exponents

Once your kids master the complex expressions, you’ll want to introduce exponents. For example (53 – 4) / 11. 53 is 125. 125 – 4 = 121. 121 / 11 = 11.

Use real-life examples

Use real-life examples, such as calculating the cost of items on sale or the time it takes to travel a certain distance at a certain speed, to make the concept more relatable and engaging for your young learners.

Provide plenty of practice

Provide students with plenty of practice problems that involve using the PEMDAS order of operations, and encourage them to check their work carefully by following the acronym.

Speaking of practice, we have a series of order of operations worksheets for grade 5 students to practice.

Four operations and parenthesis worksheets

These worksheets include the four operations with parenthesis . There are no exponents in these worksheets. These worksheets have students practice the complex expressions.

Practice PEMDAS including exponents

The next set of worksheets introduce exponents in the order of operations .

PEMDAS with nested parenthesis

Next, we introduce double and triple brackets , also called nested parentheses.

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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.

Terry's Teaching Tidbits

Creations from a 5th Grade Teacher

Order of Operations with Grouping Symbols

Order of Operations is one of my favorite skills to teach in 5th Grade.  It’s organized, follows rules, and has a final answer.

I like to break up this unit and teach it in 3 parts, slowly introducing each grouping symbol one at a time:  parentheses, brackets, and then braces.

In the classroom, I provide students with printable notes pages to introduce each mini-lesson.  We work through example problems together on a smartboard, and then students break off to practice independently.

For distance learning (or in a classroom with technology), I’ve added a digital version to my printable Order of Operations activities.  To make things easier for teachers, I’ve also recorded videos that students can view within each set of notes and activities.  They can click on a slide and view an instructional video where I take them step-by-step through solving various expressions.  I explain both the steps for solving it as well as the technical aspects of completing the slides.  This is also a great resource for parents who may be struggling to help their students at home.

Each of the 3 Lessons Include :

• Instructional page
• Two detailed examples
• One video shows students how to solve the problems using their keyboard
• One video shows students how to use the symbols in the student tools area of the
• practice pages (2 sets – 8 questions each)
• morning work pages (2 sets – 8 questions each)
• homework pages (2 sets – 8 questions each)

Instructional Video Example

Students will be able to watch tutorial videos like the one posted below.

To check on student progress, I give students exit tickets throughout the unit.  The exit ticket is just one order of operations expression that students solve in a Google Form.  It’s a quick and easy way for me to assess mastery and create flexible groups.

Whether you’re using instructing in the classroom with or without technology, or you’re teaching virtually, make your Order of Operations unit simple and easy for students to understand.

Need a Printable and/or Digital Version?

See all options HERE .

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Order of Operations Homework Worksheets

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Order of Operations is an important skill that 4th and 5th grade students need to master. This no-prep, print and go Order of Operations Worksheets Packet is perfect for extra practice of this concept. Perfect for an entire week of math homework that isn't overwhelming for students!

Click HERE to SAVE 50% by buying the year-long 5th Grade Math Homework Bundle.

This resource includes 4 practice sheets for the skill of identifying and solving problems using the order of operations. Each sheet has 9 practice problems for the skill and 3 spiral review problems at the bottom.

Please see the PREVIEW above for an idea of everything included!

Although the packet is designed to provide math homework , it can be used in other ways (see below). If you choose to use it as math homework, there is one sheet for each night of the week, Monday-Thursday. With 9 problems for each night, it will not be too time-consuming for the student, but will provide enough practice to solidify understanding of the skill.

While this packet was specifically designed to align with 5th grade standards, it is perfect for differentiation in 4th and 6th grades.

There are several other ways you can use this packet:

• Independent practice in class

• Pair and Share activity

• Small group work

• Extra remediation

• Cut apart the squares and use 1 problem as an exit ticket each day

• Test review and practice

• Quick quiz

• Informal assessment

• Guided math work as a whole group

• Early finisher work/bonus problems

Looking for other helpful math resources? Take a look here:

Numerical Patterns Task Card Set

Numerical Patterns Common Core Worksheet Packet

Place Value Patterns Common Core Worksheet Packet

Patterns in Graphing Worksheet Packet

4th Grade Common Core Printable Math Packets

Math Task Card and Poster Sets

Number Patterns 4th Grade Common Core Math Worksheet Packet

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