Ever wondered how to solve math problems with multiple operations?...
Algebra 1152 views·Updated Jul 2, 2026·1 pageMastering the Order of Operations: Learn PEMDAS/GEMDAS
J
Jonayshla Corchado@onayshlaorchado_qjxi
1
of 1
Order Of Operations
When solving math problems with multiple operations, we follow a specific order called PEMDAS (or GEMDAS). This stands for:
G - Grouping symbols (Parentheses, Brackets, Fraction bars, Square roots)
E - Exponents (like squaring a number)
M/D - Multiplication and Division (from left to right)
A/S - Addition and Subtraction (from left to right)
Remember that for M/D and A/S, you don't always do multiplication before division or addition before subtraction. Instead, you work from left to right within each level. For example, in "18÷6×3," you'd do division first because it comes first from left to right.
💡 Think of PEMDAS as a set of rules for a game, not just something to memorize. These rules ensure everyone gets the same answer when solving complex problems!
Let's see this in action with an example: 12-5+7×3²+(10÷5)-2
- Handle grouping symbols: Calculate (10÷5) = 2
- Calculate exponents: 3² = 9
- Do multiplication: 7×9 = 63
- Work from left to right for remaining operations:
- 12-5+63+2-2
- 7+63+2-2
- 70+0
- 70
Now you can solve any expression with multiple operations correctly!
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar Content
Mathematics
Algebra 2Most popular content: Pemdas
1Most popular content in Algebra 1
9M
Algebra 1Mastering Algebra 1: Essential Flashcards
Learn key concepts of Algebra 1 with these flashcards. Explore slope-intercept form, properties, equations, and expressions. Boost your math skills and ace your exams!
8th1821
7
Algebra 17th Grade Math
Algebra 1 and all of the other stuff
7th4264
Algebra 1Rules of Integer Operations
Learn the rules for adding, subtracting, multiplying, and dividing integers, along with examples and definitions of positive and negative integers.
9th560
Algebra 1Integer Rules
A review of Integer concepts and how to solve integers
1824
Algebra 1Combining like terms in expressions.
Learn how to identify and combine like terms in algebraic expressions to simplify equations.
9th1860
Algebra 1Expressions and Operations
Algebra 1 - unit 1 - covers: integer rules, order of operations, evaluating algerbraic expressions, simplifying algebraic expressions, and translating expressions.
9th1,46595
W
Algebra 1wizards
Mathematics is the most loved and also the most feared subjects by students across the world. Have you been worrying about your upcoming math test? Practice these 30 maths quiz questions to ensure you are at the top of your game!
1000
Algebra 1Interior and exterior angle measures
Interior and exterior angle measures practice
9th2721
Algebra 1solving systems of linear equations by graphing
objectives: students will check solutions of systems of linear equations. students will solve linear equations by graphing.
942
Most popular content
9O
AP US HistoryOrigins and Dynamics of the Columbian Exchange
Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
9th3,1280
I
AP US HistoryIntroduction to Early Cultural Interactions
Analyze the initial social and religious encounters between Europeans, Africans, and Indigenous peoples in the colonial Americas.
9th2,7730
O
AP World HistoryOrigins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
9th3,1870
M
AP US HistoryMotivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
9th1,7780
F
AP PsychologyFoundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
9th1,3360
I
AP US HistoryIntroduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
9th1,1100
I
AP US HistoryIntroduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
9th8890
I
AP BiologyIntroduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
9th1,7410
O
AP US Government & PoliticsOrigins of the Articles of Confederation
Practice identifying the motivations for a weak central government and the specific powers granted to the states under the first U.S. constitution.
9th9370
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user
Algebra 1152 views·Updated Jul 2, 2026·1 pageMastering the Order of Operations: Learn PEMDAS/GEMDAS
J
Jonayshla Corchado@onayshlaorchado_qjxi
Ever wondered how to solve math problems with multiple operations? The order of operations gives us the roadmap to solve complex expressions step-by-step. This note explains the PEMDAS rule and shows you how to tackle multi-operation problems correctly.
1
of 1
Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Order Of Operations
When solving math problems with multiple operations, we follow a specific order called PEMDAS (or GEMDAS). This stands for:
G - Grouping symbols (Parentheses, Brackets, Fraction bars, Square roots)
E - Exponents (like squaring a number)
M/D - Multiplication and Division (from left to right)
A/S - Addition and Subtraction (from left to right)
Remember that for M/D and A/S, you don't always do multiplication before division or addition before subtraction. Instead, you work from left to right within each level. For example, in "18÷6×3," you'd do division first because it comes first from left to right.
💡 Think of PEMDAS as a set of rules for a game, not just something to memorize. These rules ensure everyone gets the same answer when solving complex problems!
Let's see this in action with an example: 12-5+7×3²+(10÷5)-2
- Handle grouping symbols: Calculate (10÷5) = 2
- Calculate exponents: 3² = 9
- Do multiplication: 7×9 = 63
- Work from left to right for remaining operations:
- 12-5+63+2-2
- 7+63+2-2
- 70+0
- 70
Now you can solve any expression with multiple operations correctly!
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar Content
Most popular content: Pemdas
1Most popular content in Algebra 1
9M
Algebra 1Mastering Algebra 1: Essential Flashcards
Learn key concepts of Algebra 1 with these flashcards. Explore slope-intercept form, properties, equations, and expressions. Boost your math skills and ace your exams!
8th1821
7
Algebra 17th Grade Math
Algebra 1 and all of the other stuff
7th4264
Algebra 1Rules of Integer Operations
Learn the rules for adding, subtracting, multiplying, and dividing integers, along with examples and definitions of positive and negative integers.
9th560
Algebra 1Integer Rules
A review of Integer concepts and how to solve integers
1824
Algebra 1Combining like terms in expressions.
Learn how to identify and combine like terms in algebraic expressions to simplify equations.
9th1860
Algebra 1Expressions and Operations
Algebra 1 - unit 1 - covers: integer rules, order of operations, evaluating algerbraic expressions, simplifying algebraic expressions, and translating expressions.
9th1,46595
W
Algebra 1wizards
Mathematics is the most loved and also the most feared subjects by students across the world. Have you been worrying about your upcoming math test? Practice these 30 maths quiz questions to ensure you are at the top of your game!
1000
Algebra 1Interior and exterior angle measures
Interior and exterior angle measures practice
9th2721
Algebra 1solving systems of linear equations by graphing
objectives: students will check solutions of systems of linear equations. students will solve linear equations by graphing.
942
Most popular content
9O
AP US HistoryOrigins and Dynamics of the Columbian Exchange
Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
9th3,1280
I
AP US HistoryIntroduction to Early Cultural Interactions
Analyze the initial social and religious encounters between Europeans, Africans, and Indigenous peoples in the colonial Americas.
9th2,7730
O
AP World HistoryOrigins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
9th3,1870
M
AP US HistoryMotivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
9th1,7780
F
AP PsychologyFoundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
9th1,3360
I
AP US HistoryIntroduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
9th1,1100
I
AP US HistoryIntroduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
9th8890
I
AP BiologyIntroduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
9th1,7410
O
AP US Government & PoliticsOrigins of the Articles of Confederation
Practice identifying the motivations for a weak central government and the specific powers granted to the states under the first U.S. constitution.
9th9370
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user