# Order of Operations Resources

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Order of Operations
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Order of Operations: PEMDAS
Worksheet
Order of Operations: PEMDAS
Math
Worksheet
Order of Operations Puzzle
Worksheet
Order of Operations Puzzle
Use the rules for the order of operations to write in the missing parentheses that make each equation true.
Math
Worksheet
Fifth Grade Independent Study Packet - Week 1
Workbook
Fifth Grade Independent Study Packet - Week 1
Week 1 of our series contains 5 days of independent activities in reading, writing, math, science, and social studies for fifth grade.
Workbook
Evaluating Expressions: Order of Operations with Exponents
Worksheet
Evaluating Expressions: Order of Operations with Exponents
Give students a chance to practice using the order of operations to evaluate numerical expressions with exponents in this sixth-grade math worksheet.
Math
Worksheet
Fifth Grade Fall Review Packet - Week 1
Workbook
Fifth Grade Fall Review Packet - Week 1
Prepare learners for their fifth grade year with the help of this Fifth Grade Fall Review Packet - Week 1.
Workbook
Algebra Expressions
Worksheet
Algebra Expressions
Assist your child with algebra and review the order of operations: division and multiplication before addition and subtraction, left to right.
Math
Worksheet
Two Truths and One Lie 2
Worksheet
Two Truths and One Lie 2
In this worksheet based on the game Two Truths and a Lie, students practice solving three equations and then discussing their findings. Young mathematicians will seek to determine which two equations are true and which equation is false.
Math
Worksheet
Power Play: Exponents and Equations
Workbook
Power Play: Exponents and Equations
Students familiarize themselves with pre-algebra concepts and vocabulary — including factors, base numbers, exponents, variables, and value — in this introductory overview. This workbook offers plenty of hands-on practice so that students can gain confide
Math
Workbook
Worksheet
Math learners use their multiplication, addition, and subtraction skills as they solve 24 problems in this practice worksheet.
Math
Worksheet
Introduction to Algebraic Expressions
Worksheet
Introduction to Algebraic Expressions
Two important concepts are needed for algebraic success: order of operations and combining like terms. Learn all about them with this practice sheet.
Math
Worksheet
Two Truths and One Lie 1
Worksheet
Two Truths and One Lie 1
In this fall-themed worksheet version of the popular game two truths and one lie, learners will solve three equations and determine which two equations are true and which one is false.
Math
Worksheet
Order of Operations: Fractions
Worksheet
Order of Operations: Fractions
Challenge your students to solve expressions with fractions using the order of operations.
Math
Worksheet
From Words to Symbols: Test Your Math Vocabulary (Part One)
Worksheet
From Words to Symbols: Test Your Math Vocabulary (Part One)
This worksheet provides a great way to test students' knowledge of math vocabulary and math reasoning.
Math
Worksheet
Write Equations: What Equals What?
Worksheet
Write Equations: What Equals What?
In this worksheet, students will be given an expression and asked to write another expression of equal value to create an equation.
Math
Worksheet
Create Your Own: Two Truths and One Lie
Worksheet
Create Your Own: Two Truths and One Lie
In this creative math worksheet, students will each write two true equations and one equation that is false. Then they will swap worksheets with a partner and solve each other’s equations before regrouping to discuss their equations and solutions.
Math
Worksheet
From Symbols to Words: Test Your Math Vocabulary (Part Two)
Worksheet
From Symbols to Words: Test Your Math Vocabulary (Part Two)
This is a great challenge for fifth graders learning how to evaluate an expression.
Math
Worksheet

### Order of Operations Resources

Once students master the basics of arithmetic—addition, subtraction, multiplication, division—they will encounter more complex problems in which more than one operation will be needed to solve the problem. The order of operations is an important concept that must be mastered, for it is the foundation on which the mathematical expression rests. Solve the problem in the wrong order and the answer will also be wrong. Our resources will teach your student how to follow the order of operations and set them up for understanding more complex equations.

The order of operations is a series of rules that tells us which procedures to perform first when evaluating a mathematical expression that has more than one operation (addition, subtraction, multiplication or division). The order of operations is a universal convention that’s followed in mathematics and was established as far back as the 1500s!
Learning the order of operations is so important that when students first learn it, they are taught a mnemonic device: PEMDAS (or “Please Excuse My Dear Aunt Sally”)

P  Parentheses first
E  Exponents (powers and square root)
MD  Multiplication and division

Let’s look at a basic equation with more than one operation:

2 + 3 x 4

According to the order of operations, multiplication is done before addition. To make this problem easier to visualize, set off the multiplication problem with parentheses, so we know to solve that first.

Therefore: 2 + (3 x 4)
2 + (12) = 14

If we didn’t follow the order of operations and just solved the equation from left to right, we would get: (2 + 3) x 4, or 5 x 4 = 20. This answer would be incorrect.
Let’s look at another example with an exponent, which students learn around fifth or sixth grade.

2 + 3 × 42

According to the order of operations, we would solve this equation in this order:

Exponents: 42 = 16
Multiplication: 3 x 16 =48
Addition: 2 + 48 = 50

Teach your students the order of operations using our worksheets and resources and they’ll have a solid foundation for more advanced algebraic operations!