Ever wondered how to solve math problems with multiple operations?... Show more
Algebra 1152 views·Updated May 17, 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!
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You can download the app in the Google Play Store and in the Apple App Store.
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Algebra 1152 views·Updated May 17, 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.
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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...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
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
97
Algebra 17th Grade Math
Algebra 1 and all of the other stuff
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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!
8th1691
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Algebra 1 - unit 1 - covers: integer rules, order of operations, evaluating algerbraic expressions, simplifying algebraic expressions, and translating expressions.
9th1,45695
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PEMDAS and distributing
43417
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About the topic
1739
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Learn how to do ratios
1426
Algebra 1Math study guide: linear equations, standard form,proportional relationships, & dimensional analysis
This study guide shows you through all things about point-slope formula of a linear equation, and all the forms of a linear equation, as well as explaining the process of dimensional analysis.
9th821
Most popular content
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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
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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.
9th3,1860
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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.
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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.
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Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
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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