Features
Pricing
Team
Blog
Message Us
Login
Try it for free
Login
Try it for free

Learn Order of Operations

With Ease

The order of operation describes a sequence of rules to be performed to solve a specific function. Using the term operations in mathematics it means evaluation of any mathematical expression, using algebraic operations like division, multiplying, adding. How do we understand Order of Operations rules? 

Try it for free

Learn Order of Operations

with Ease

The order of operation describes a sequence of rules to be performed to solve a specific function. Using the term operations in mathematics it means evaluation of any mathematical expression, using algebraic operations like division, multiplying, adding. 

 

Try it for free

No credit card required

Trustpilot

No credit card required

Trustpilot

Learn Order of Operations with Smartick

What is the Order of Operations in Math?

PEMDAS vs BODMAS

Why Follow the Order of Operations?

Real-Life Applications of Order of Operations

What is the Order of Operations in Math?

The best approach in solving a given problem is to simplify expressions from left to right. In cases of multioperations expressions have to follow a sequence. The order of operation is the rule determining the sequence for solving an expression by multiple operations. The order is remembered through the acronym PEMDAS. The letters PEMDAS represent mathematical functions.

Have you ever played a board game or perhaps a video game? There are rules to follow, right? Imagine playing a game where everyone makes up their own rules—things would get confusing quickly! In a similar way, the Order of Operations is our rulebook for solving math problems. It ensures that everyone, no matter where they are from, follows the same steps and gets the same answers.

Think of the Order of Operations as a magical math recipe. Just like when baking cookies, there’s a specific order to adding ingredients to make them turn out perfect. In math, we need a special order too so our answers are always correct and delicious!

So, when you see a math problem with lots of numbers and operations, don’t worry! The Order of Operations is like a friendly guide, always ready to show you the way. It’s the special set of steps we follow to make sure our math problems are solved correctly every time. And trust me, once you master it, math problems will feel like fun puzzles, just waiting for you to solve them.

Alright, eager learners, are you ready to dive deeper and discover more about this magical math tool? Let’s go! 🚀📚

Order of Operations Definition

The Order of Operations is a set of rules or guidelines that tells us the sequence in which we should solve different mathematical operations in an expression. Think of it like the instructions for a board game. When playing a game, we need to know which step comes first, then second, and so on, to make sure everyone plays fairly and has fun. Similarly, the Order of Operations ensures that everyone solves math problems in the same way, so we all arrive at the correct answer. It’s like a trusted compass, pointing us in the right direction, making sure we don’t take a wrong turn in our math adventure! 🧭🔢

Order of Operations – PEMDAS vs BODMAS

PEMDAD or BODMS are two acronyms for understanding these rules. They also list how operations are performed within an expression. Below are detailed of the letters used within each expression for this acronym. First we’ll look at Pemda.

PEMDAS

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Imagine it like a guidebook that helps you traverse the tricky trails of mathematical expressions. By following PEMDAS:

 

learn order of operations
Parentheses

Think of parentheses as a protective bubble. Anything inside them must be solved first before popping the bubble.

Exponents

These are the small, superscript numbers that tell us how many times a number is multiplied by itself. For instance, 3² means 3 is multiplied by itself.

Multiply/Divide

Next, we encounter multiplication and division. These two are partners in dance, and you address them from left to right, whichever comes first.

Add/Subtract

Finally, our last dance moves—adding and subtracting. Like multiplication and division, we deal with them from the left hand over to right.

Always remember PEMDAS, and math problems will unfold smoothly before you!

BODMAS

BODMAS is the guiding light for many students outside the U.S. It stands for Brackets, Orders, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right). Here’s a breakdown:

Brackets

This includes both round brackets (like parentheses) and square brackets. Always start your math journey by solving what’s inside these.

Orders

This is another term for exponents or powers. It’s the step where you determine how many times a number is multiplied by itself.

Division and Multiplication

After handling the orders, you move to multiplication and division tasks, taking them from left to right.

Addition and Subtraction

Lastly, just like in PEMDAS, you’ll round up the operations with addition and subtraction, tackling them from left to right.

Whether you use the acronym PEMDAS or BODMAS, the underlying principle remains the same. Both acronyms provide a structured way to approach mathematical problems, avoid confusion, and ensure you arrive at the correct answer consistently. The key is to be aware of which one is being used and to follow it faithfully.

Why Should you Follow the Order of Operations?

The Order of Operations is like the recipe for a scrumptious cake. If we miss a step or add ingredients in the wrong order, we might not get the delicious result we’re hoping for. Similarly, in math, it’s essential to follow a specific order to ensure our answers are correct and consistent. Here’s why:

1. Clarity and Consistency: Just as a chef uses a recipe to ensure the cake tastes the same every time, the Order of Operations ensures our math answers are consistent, no matter who’s doing the calculations.

2. Correctness: Imagine building a tower with blocks. If the foundation isn’t strong and in the right order, the tower might tumble. The Order of Operations is our sturdy foundation in math, ensuring we get the right answer every time.

3. Efficiency: Following the Order of Operations helps us solve problems more quickly. It’s like having a clear path through a maze instead of wandering around lost.

4. Widely Accepted Convention: Mathematicians from all over the world agree on the Order of Operations. By following it, we’re speaking a universal math language, ensuring everyone understands our calculations with equal same.

5. Building Block for Advanced Math: The Order of the Operations in math is foundational. As we learn more complex math concepts, understanding and using this order becomes even more crucial.

In essence, the Order of Operations ensures our math journey is smooth and successful, just like following a recipe guarantees a tasty treat!

Ways to Remember Order of Operations

Navigating the world of math can sometimes feel like being in a giant maze. But don’t worry! Just like how breadcrumbs can help us find our way back in a story, for example, there are some neat tricks and tools to help us remember the Order of Operations:

1. Fun Mnemonics: One of the most popular ways is the phrase “Please Excuse My Dear Aunt Sally.” Each word in this quirky sentence stands for a step in PEMDAS – Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

2. PEMDAS Songs: Believe it or not, there are tunes out there that are both catchy and educational! Listening to these can make learning PEMDAS a musical treat. Before you know it, you’ll be humming the rules!

3. Visual Aids: Creating a colorful chart or poster with PEMDAS and hanging it in your study space can serve as a constant reminder. Every time you glance at it, you’re reinforcing the Order of Operations in your memory.

4. Hand Gestures: Associate each step of PEMDAS with a unique hand movement. For instance, make a circle with your fingers for Parentheses or mimic a small explosion for Exponents to represent “power.” It’s a fun, active way to remember the order, especially for those who learn best with movement.

5. Practice with Puzzles: The more you practice, the better you’ll get. There are tons of math puzzles and games that revolve around the Order of Operations. By regularly solving them, PEMDAS will become second nature.

6. Flashcards: On one side, write a math problem, and on the other, the solution using PEMDAS. Quiz yourself or have someone quiz you. This way, you’re actively recalling the correct Order of Operations each time you solve.

7. Storytelling: Create a mini-story or adventure that involves characters representing each step of PEMDAS. Maybe Parentheses is a protective shield, and Exponents are superheroes with powers. Stories can make abstract concepts come to life.

Remember, math is like a language. The more you immerse yourself in it, the more fluent you become. By using these tools and tricks, you’ll become a master of the Order of Operations in no time!

Real-Life Applications of Order of Operations

The Order of Operations isn’t just confined to the walls of a classroom; it’s all around us in our daily lives! Let’s see how PEMDAS makes our everyday tasks smoother:

1. Cooking and Baking: Have you ever tried following a recipe? Sometimes, you need to halve or double the ingredients. Imagine having to add two parts of sugar, then subtract a bit, and then double the mixture for extra guests. By following the Order of Operations, you can make sure your dessert turns out just right!

2. Shopping: Let’s say you found a toy or a book that’s on sale. First, there’s a 20% discount, and then an additional 10% off on the discounted price for a special promotion. By using PEMDAS, you’ll know exactly how much savings you’re getting and how much to pay.

3. Gardening: When measuring soil or water for plants, you might need to add a certain amount, then subtract some, and multiply by the number of pots. Order of Operations ensures your plants get the right care.

4. Budgeting: If you’re planning how to spend your allowance, PEMDAS can be super helpful. You might want to save a part, spend a portion on a game, and then donate a bit. By using the Order of Operations, you’ll know exactly where your money’s going.

5. Playing Games: In some board games, you might earn points by doing different tasks, like rolling dice, drawing cards, or moving spaces. Sometimes, you multiply your dice roll, add bonus points, and then subtract penalties. PEMDAS ensures everyone calculates their scores correctly and the game is fair.

6. Travel Planning: Imagine you’re going on a trip, and you have to calculate total travel times, including breaks. You might drive for 3 hours, take a 1-hour lunch break, then drive for another 5 hours, and finally rest for another hour. By using the Order of Operations, you can figure out the total time your journey will take.

7. DIY Projects: Building something cool? Perhaps you need to measure materials, adjust lengths, or calculate areas. The Order of Operations helps simplify and ensure you get your measurements spot on, making your project a success.

These real-world scenarios show just how crucial and helpful the Order of Operations is. It’s like having a trusty tool in our toolbox, ready to help us tackle all sorts of daily math challenges. So, the next time you’re faced with numbers in real life, remember PEMDAS is there to guide you!

Real-Life Applications of Order of Operations

Here are some real-life applications of the Order of Operations for kids:

Recipes: When following a recipe, you often need to use the Order of Operations to determine the correct steps and measurements. For example, if a recipe calls for 2 cups of flour and then asks you to divide the mixture in half, you need to multiply 2 cups by 0.5 (or divide by 2) to get the right amount.

Shopping: When shopping, you might encounter situations where you need to calculate discounts or compare prices. The Order of Operations helps you determine the final cost by following the correct sequence of operations, such as subtracting discounts before adding sales tax.

Sports Scores: In some sports, scores involve multiple operations. For example, in basketball, a team might score 2 points for a basket and 1 point for a free throw. If you want to calculate the total points for a team, you need to multiply the number of baskets by 2 and add the number of free throws.

Allowance and Money Management: When you receive an allowance or earn money, you can use the Order of Operations to calculate savings or plan expenses. For instance, if you want to save half of your allowance and spend the rest, you would multiply your allowance by 0.5 to find the amount to save.

Time Management: When planning your day or completing tasks, you might have multiple activities or chores to prioritize. The Order of Operations helps you determine the order in which to complete them, ensuring you allocate your time efficiently.

DIY Projects: When working on do-it-yourself projects, you often need to calculate measurements and quantities. The Order of Operations can help you figure out how much material you need or how to divide it among different sections.

Remember, the Order of Operations is not just for math problems but also helps in real-life situations where you need to follow a specific order to get the right result. By understanding and applying the Order of Operations, you can solve problems and make calculations accurately and effectively in various aspects of your daily life.

See How Smartick helps your kids to learn order of operations

Smartick’s built-in gamification makes math feel fun. Making learning fun helps kids avoid burnout. Plus, they’ll develop stronger habits and a broader love of learning.

Try this unique learning method

Don’t worry the first week is on us

Try it for free
Home
About Us
Pricing
Features
Contact
Terms
Privacy
Dribbble Instagram Linkedin

© 2022 Smartick. All Rights Reserved.

© 2022 Smartick. All Rights Reserved.

Try it for free
Legal Notice

The website located at http://www.smartick.com or http://www.smartickmethod.com, including any of its subdomains or sections (hereinafter, the “Website”) is operated by Sistemas Virtuales de Aprendizaje, S.L. (hereinafter “Smartick”), mercantile company incorporated in Spain and registered in the Mercantile Registry of Malaga, volume 4684, page 190, page number MA-102744, with N.I.F. number B-93020808 and registered office at Calle María Orueta 14, Urbanización El Olivar, 29140, Málaga. You can contact Smartick via email at [email protected] or by phone at +34 911 23 21 44, from 9h to 20h Monday to Friday.

These conditions (hereinafter the “Conditions”) govern the access, navigation and use of the website by its users (hereinafter, the “User” or “Users” as appropriate).

1. Authorized Use

Access to and use of the Website assumes that the User fully accepts and agrees to comply fully with these Terms.

The user is authorized to use the Website only in accordance with these Conditions and with the instructions, recommendations or conditions that Smartick indicate in each case.

Also, the application is Privacy Policy with respect to the collection and use of personal data.

Smartick reserves the right to modify at any time and without notice the contents of the Website, including these Conditions or any other conditions, for this reason we recommend reading each before accessing and browsing the Website.

The User agrees to use the Website for private and domestic purposes only. Any commercial use of the Website by the user is unauthorized.

The User agrees not to use the website for fraudulent or negligent activity or in order to violate the law purposes and not to carry out any behavior that may damage the image, interests and rights of Smartick any third party.

The User agrees not to do anything that may damage, disable or overburden, impair or impede the normal use of the Website, affect their safety, or to prevent in any way the normal use thereof. In particular, the User agrees not to impersonate another user or person while using the Web Site. Access by robots, scripts or any other device, program or tool to access, copy or monitor any part of the Website, without prior permission of Smartick, is prohibited.

2. Responsibility

The User acknowledges and agrees that use of the Website is at all times their own risk and responsibility, so Smartick is not responsible for the misuse, abuse or use contrary to these Conditions that may be made of the Website.

The User shall be fully liable for damages arising to Smartick as a result of any use of the Website in breach of these Terms, and agrees to indemnify Smartick and its directors, employees, agents and representatives from any liability that may incurred as a result of the breach by the User.

Smartick does not guarantee the availability and continuity of the Website. If it is reasonably possible, Smartick will give prior notice of any interruption in the operation of the Web Site and the services offered through it. Smartick does not guarantee the use of the Website or services for a purpose or activity, nor its infallibility. To the extent permitted by applicable law, Smartick excludes all liability for damages of any kind that may be due to lack of availability or continuity in the operation of the Website and the Services.

Smartick is not responsible for damages that may result from, but not limited to, examples such as:

  • Interruptions, viruses, breakdowns, interferences, omissions or disconnections from the electrical systems, communication systems or computer systems for reasons beyond Smartick’s control.
  • Delays or unavailability of the use of the Website by deficiencies or overloads on the Internet, in lines or electrical or communications systems.
  • Actions of third parties.
  • The inability to access the Website for maintenance or updates.
  • Any other circumstance beyond the control of Smartick.

All of the above provisions shall apply to the maximum extent permitted by applicable law.

All of the above provisions shall apply to the maximum extent permitted by the applicable law. The inclusion of links on the Website does not imply any connection, recommendation or supervision by Smartick with regards to the destination page and therefore Smartick accepts no responsibility for its contents, except as expressly provided for in applicable law.

3. Intellectual and Industrial Property

All rights of intellectual property (including the sui generis rights in databases) on the Website, its graphic design and source code, as well as the different elements included in it (not limited to : texts, graphics, logos, logos, icons, buttons, pictures, videos, sound recordings, etc.) are owned by or licensed to Smartick.

The use of the Website by the User in no way implies, by itself, the assignment or licensing of any intellectual or industrial property of Smartick or its licensors.

Under these Terms, and except in those cases where it is expressly authorized, User reproduction, transformation, distribution, public communication, availability, extraction and / or reuse of the Website or any of its parts is expressly prohibited.

4. Overview

The use of the Web Site is governed by Spanish law, unless any other applicable legislation is applied imperatively to the user.

In the event that any provision contained in these Terms is declared invalid, it will proceed to the removal or replacement of it. In any case, such invalidity shall not affect the validity of the remaining provisions in these Terms.

Privacy Policy
Basic Information about Data Protection
ResponsibleSistemas Virtuales de Aprendizaje, S.L.
Contact Data ProtectionAvenida María de Orueta (Urb. El Olivar), 14, 29140, Málaga
[email protected]
Website and Applicationshttp://www.smartick.com
http://www.smartickmethod.com
http://www.smartickmethod.es
http://www.smartick.es
Aplicación Smartick iOS
Aplicación Smartick Android
Purpose and Legal BasisManagement, Presentation of Services and Dispute ResolutionExecution of Contractual Relationship
Improving Services and Preventing Fraud and AbuseLegitimate Interest
Sending news, gifts, discounts and relevant promotionsLegitimate Interest
Answering Inquires and RequestsExecution of COntractual Relationship, Consent or Legitimate Interest as appropriate
Data collection through cookies is not required for the serviceConsent
Recommendations to friendsConsent
RecipientWe will share your personal data with service providers who help or support us, or those with whom we have a legal obligation.
User RightsYou have the right to access, rectify, delete, object, request limitation or portability or not be subject to automated individual decisions of your personal data, as explained in detail bellow.
Additional InformationAdditional information about the Website can be found at:
Legal Notice
Política de Cookies


For the provision of services and management of the website www.smartick.com or www.smartickmethod.com, or of any associated site (hereinafter, the ‘Website’) and of the mobile applications associated with the Web Site (hereinafter, the ‘Applications’), Sistemas Virtuales de Aprendizaje, S.L. (“Smartick”) collects and processes personal data regarding the different cases determined in this Privacy Policy.

In its position responsible for the processing of personal data collected on the Web Site, Smartick informs the User that their address is located at Avenida María de Orueta (Urb. El Olivar), 14, 29140, Málaga.

The legal basis for processing personal data and the time period for keeping that data or the criteria used to determine the time period will be indicated in each one of the established cases in this Privacy Policy.

Smartick promises to take the appropriate security measures to guarantee an adequate level of security according to the applicable regulations at any time. To fulfill the purposes set out below, we may share the information provided or generated on our Website or the Applications with service providers who provide services on our behalf, such as payment service providers or hosting companies.

Please take note that some of our service providers can be located in countries outside of the European Economic Area that do not have data protection laws equivalent to those of the European Economic Area. Nonetheless, we offer the appropriate safeguards to ensure that your personal information is protected at all times in accordance with applicable law. In any case, you can get a copy of the applicable appropriate safeguards for your review upon request using the contact information provided at the beginning of this Privacy Policy.

Furthermore, we can report your personal information to third parties such as banks or public authorities or security or fraud prevention agencies, when there is a legal requirement, or a necessary requirement for contractual execution.

We can also report your personal data to Google + or Facebook if The User chooses to link these social networks with Smartick.

The User has the right to request a copy of any personal information that we have about them in our registry, and correct or update any erroneous or outdated information. The User can also request that we don’t send any commercial communication, the suppression of their personal data when, amongst other reasons, the data are no longer necessary for the reasons they were collected or, in their case, request the portability of their data. In determined circumstances, the User may request the limitation of or oppose the treatment of their data. Smartick will stop processing the data, except for compelling legitimate reasons, or the exercise or defense of possible claims. Likewise, the user has the right to withdraw their consent at any time, when this is the legal basis for the processing of their personal data. Finally, the User is entitled to the protection of the Spanish Agency for Data Protection, at www.agpd.es.

Any interested party who wishes to exercise any of the aforementioned rights shall do so at the following email address: [email protected], making clear reference in the message subject to the exercise of the corresponding right.

Smartick will answer the request addressed to it in any case, regardless of whether or not personal data in its files are affected. In the event that the application does not meet the requirements specified in the first paragraph, Smartick will request the rectification thereof.

Smartick collects personal data in the following instances:

1. Use of Cookies and IP Addresses of Users of the Website

The Website uses cookies, for two reasons:

  • Facilitate and customize user navigation through the Website, and
  • Obtain statistical information on the use of the Website (browsers and operating systems used by users, most visited sections, countries connected from, etc.).

Cookies are not viruses, do not generate pop-ups, and do not allow us to know any other information (personal or otherwise) that users keep on their computers.

Most browsers offer various options regarding cookies (for example, accept, reject, delete at the end of the session, etc.). If you choose not to accept cookies generated by this Web Site, your browser will consider each visit you make your first visit.

Smartick does not use cookies to associate navigation data with individuals who have not been previously identified.

The website collects the IP address of the users who access it. The IP address of each user accessing this website may not be the same every time. In addition, several users can share a single IP address.

Although Smartick does not, nor will not perform any work towards the IP address associated with specific individuals, the gathering of IP addresses can be considered processing of personal data under potentially identifiable character of the natural person who can be associated by IP, so in accordance with Data Protection Act, it shall be applicable as provided in this Privacy Policy.

You can find all the information about cookies, their names, and use here

The legal basis for the use of cookies by Smartick is your free and informed consent of the terms set forth and their applicable legislation.

Smartick will store the information on use of cookies during the necessary time for the provision of the services and in the case of cookies used for statistical purposes while the User does not withdraw their consent.

If it is reasonably necessary or required and as long as it is in order to comply with legal or regulatory requirements, resolve disputes, prevent fraud and abuse, or to enforce Smarticks terms and conditions, Smartick may maintain certain information related to the User, even after having closed their account or withdrawn their consent.

2. Processing of Data during the Use of Services by the Users

During the registration process and delivery of Services, Smartick may process personal data provided by different users including, identifying data, payment date, performance and usage data from the Website and Applications.

The purpose for which the cited personal data is processed is for the management of monitoring the progress of the Student, the administrative management and nature of the contractual relationship, and, in general, the provision and improvement of the Services, including through the analysis and statisical investigation of the conditions and results of the use of the Services to resolve disputes, prevent fraud and abuse, as well as the sending of relevant and related news, gifts, discounts and promotions related to Smartick. At anytime, the user may stop receiving the listed communications by sending an email to [email protected].

Within the service provided, Smartick also allows students to connect and interact with each other through the Social Club where they can also access limited information from other students, for which it allows a student to consult, through an internal search engine, the user name provided during registration. Parents of students, whether primary or secondary Tutors, may limit access from their account on the Website.

Furthermore, Smartick allows the communication to the tutors of each student about their progress, and the aforementioned search function.

The legal basis for the treatment of the above data is the execution of the corresponding contracts or, where appropriate, the legitimate interest of Smartick in offering its services and in reporting news, gifts, discounts and relevant promotions relating to Smartick to users that do not oppose the receipt of this information. As minors, the personal data of minors is only processed when the corresponding Tutor, as the legal representative of the student, has accepted the contractual relationship with Smartick that requires such processing.

Smartick will keep the personal information of users while their corresponding account is valid. If it is reasonably necessary or required and as long as it is in order to comply with legal or regulatory requirements, or to enforce Smarticks terms and conditions, Smartick may maintain certain information related to the User, even after having closed their account or withdrawn their consent.

3.Comments on the Smartick service, Emails Received by [email protected] and through the Form Available on the Website, as well as Calls Received at Smartick Contact Numbers

The name and email addresses of friends of Tutors will be collected in order for the Tutors to refer the Services to other people.

The legal basis for the treatment of the above data is the consent of the friends granted by the Tutors.

Smartick will keep the information of the friends of the tutors during the time necessary to fulfill the purpose for which they were collected and during the periods necessary to comply with the legal obligations that may result from application.

4. Comentarios en el servicio Smartick, correos electrónicos recibidos en [email protected] y en el formulario disponible en la página web y llamadas en y a través de los teléfonos de contacto de Smartick.

The data received by Smartick through the media enabled by the Services, in the form of its website, as well as the email address [email protected] and any calls received to Smartick contact numbers is used solely to respond to inquiries, suggestions, or complaints sent by customers and users of the Website.

Furthermore, calls to and through Smartick’s contact numbers will be recorded to manage requests and improve the quality of service.

The purpose of processing personal information is to manage such inquiries, suggestions, or complaints, and follow them up.

The legal basis for the treatment of the above data is the request from the User, the fulfillment of a contract or, where appropriate, the legitimate interest of Smartick in the management of its services.

Smartick will keep the users information for as long as it is necessary to attend to their queries, suggestions or complaints and perform a follow-up. If the user has subscribed to the Smartick newsletter, Smartick will continue processing their data for the sending of that newsletter. Likewise, Smartick may keep personal data during the periods necessary to comply with the legal obligations that may be applicable.

5. Subscription and Comment on the Smartick Blog

Smartick has a blog available where you can read articles about a variety of topics (teaching resources, addition and subtraction, probability and statistics, world problems, psychology). Additionally, you are able to comment on the posts and interact with other readers.

The data received by Smartick for the subscription and intereaction on the blog are utilized for managing the blog subscription, as well as to receive, publish, and in some cases, moderate the comments that are published. From Smartick, a comment or a user request will be responded to, as applicable.

The legal basis for previous data processing is the user’s request, the contractual relationship for the provision of services that binds us (even if the requested service is free of charge) or, where appropriate, Smarticks legitimate interest in the management of its services.

Smartick will save the user’s information for as long as it is necessary to receive and post a comment. Smartick will also be able to keep personal information during the periods necessary to fulfill the legal obligations that could apply.