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- What are the basics of algebra?
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- What are the 3 rules of algebra?
- The basic rules of algebra are the commutative, associative, and distributive laws.
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- The golden rule of algebra states Do unto one side of the equation what you do to others. Meaning, whatever operation is being used on one side of equation, the same will be used on the other side too.
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A value is said to be a root of a polynomial if ..
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One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. One also learns how to find roots of all quadratic polynomials, using square roots (arising from the discriminant) when necessary. There are more advanced formulas for expressing roots of cubic and quartic polynomials, and also a number of numeric methods for approximating roots of arbitrary polynomials. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development.
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Frequently asked questions
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Gauthmath Calculator is a standout choice due to its comprehensive features, including basic, function, calculus, matrices, abc, and <=. This range of features makes it a reliable tool for all your calculation needs.
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While solving math without a calculator involves understanding mathematical principles and practicing mental arithmetic, Gauthmath can be a valuable tool in this learning process. It offers features like basic, function, calculus, matrices, abc, and <=, which can help you understand how to solve problems manually and enhance your mathematical skills.
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Calculators come in various types, including basic, scientific, graphing, and financial calculators. Gauthmath Calculator offers six distinct features: basic, function, calculus, matrices, abc, and <=, catering to a wide range of mathematical needs.
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To calculate a percentage, divide the part by the whole and multiply by 100. This gives you the percentage that the part represents of the whole. It's a simple yet effective method to understand proportions and ratios.
How to calculate square feet?
Calculating square feet involves multiplying the length of an area by its width. This gives you the total square footage of the area, a crucial measurement in fields like construction, interior design, and real estate.
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Free Math Worksheets — Over 100k free practice problems on Khan Academy
Looking for free math worksheets.
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Frequently Asked Questions about Khan Academy and Math Worksheets
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7 Best Online Free Scientific Calculators
By Med Kharbach, PhD | Last Update: November 1, 2023
There is definitely no shortage of calculators around. Most devices are currently equipped with some sort of a built-in calculator. These types of calculators are basic and simple. To perform advanced and complex math calculations, your basic or traditional calculators are of no avail. Instead, what you need is a scientific calculator.
In this post, I feature some of the best online free scientific calculators to help you perform advanced math calculations, ones that are not supported by traditional calculators. Most of these scientific calculators have mobile apps enabling you to perform your calculations anywhere anytime.

For more math resources I recommend these resources I shared in the past:
- Best math solver apps for students
- Best free trigonometry calculators
- The importance of scientific calculators and how to use them effectively
- Apps for writing math equations
- Best math websites for teachers and students
1. GeoGebra
GeoGebra is a dynamic scientific calculator that offers a wide variety of features including computations with fractions, trigonometric functions, statistical functions, exponential functions and logarithms, and many more. The way GeoGebra scientific calculator works is simple: enter your calculation into the input bar using the calculator’s keyboard. Your calculations will be numbered and displayed in rows on top of the input bar.
The keyboard of GeoGebra’ s scientific calculator comprises three different keyboards: 123 keyboard, f(x) keyboard, and ABC keyboard. You can easily switch between them as you like. GeoGebra scientific calculator also contains numerous predefined functions, operators and commands which you can access through the ABC keyboard. You can type in the operator or function you want to use. You can use the GeoGebra scientific calculator on the web as well as on mobile android and iOS devices.
Desmos is a powerful scientific calculator that has a host of practical features to help you with performing complex math calculations. The main keyboard of Desmos scientific calculator shows the numerical keypad, basic operations, and functionality for ‘basic trigonometry, roots, fractions, exponents, and absolute value’.

The Qwerty keyboard displays punctuation and a pi character. For advanced trigonometric and statistical functions, you can use the function keyboard. Desmos scientific calculator also supports accessibility features including Braille in both UEB and Nemeth and reverse contrast mode to help users with problems of vision.
Besides the scientific calculator, Desmos offers a wide range of educational math resources for teachers and students including digital lessons, lesson building tools, assessments, and many more. Other math tools offered by Desmos include graphing calculator, matrix calculator, four function calculator, test practice, geometry tool, among others.
Mathway is another powerful scientific calculator to try out. The way Mathway Calculator works is simple and easy. Open Mathway on the web or on a mobile device then select a subject from the top right corner. There are Basic Math, Pre-Algebra, Graphing, Finite Math, Linear Algebra, Calculus, Algebra, and more.

Next, type in your problem or upload a picture of your math problem. If you use the Mathway app, you can simply point the camera of your device at the problem and snap a photo to upload to Mathway. Or, you can use a voice to text feature to say your math problem and the app converts it into text. Once done, click to submit and voila! To learn more about this calculator check out Mathway full review for teachers and students.
4. Calculator.net
Calculator.net has this simple yet powerful online scientific calculator that enables you to type or perform calculations the same way you would normally do on a physical calculator. The calculator is totally free and works on any web browser. Calculator.net also offers access to several other free math calculators that cover topics such as fractions, percentages, volume, standard deviation, random number generator, and many more.
5. Symbolab

Symbolab is another excellent scientific calculator for teachers and students. It is both an equation search and math solver. Students from middle school through college will especially find it helpful. They can access detailed step by step solutions to any math problem related to algebraic, trigonometric and calculus topics.
Students can use Symbolab to not only solve math problems (e.g., Integrals, Equations, derivatives, limits, etc.) but to also understand processes used to reach solutions to math problems. It acts like a private math tutor available 24/7. To learn more about this calculator check out Symbolab review for teachers and students.
eCalc is another good online scientific calculator that “supports and resembles a ti-30 with many advanced features, including unit conversion, equation solving, square roots, EE functions, and even complex-number math. eCalc is offered as both a free online calculator and as a downloadable calculator.” eCalc is also available for free download for Windows and Macs.
7. ClassCalc

ClassCalc scientific calculator helps you perform different math calculations either online or on your mobile Android or iOS device. ClalssCalc scientific calculator includes numerous helpful features such as advanced trigonometric, algebraic, statistical and calculus functions; scientific notation, conversion between decimals and fractions; variables and constants, and more.
Final thoughts
Navigating complex math problems has never been more accessible thanks to a new generation of online scientific calculators. Whether you’re an educator or a student, tools like GeoGebra, Desmos, and Mathway offer far more than basic arithmetic functions—they bring advanced features and user-friendly experiences right to your fingertips. From classroom teaching to late-night study sessions, I’ve seen how the right technology can elevate understanding and make learning a more interactive experience. So go ahead, ditch that basic calculator for one of these powerhouse platforms.

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Meet Med Kharbach, PhD
Dr. Med Kharbach is an influential voice in the global educational technology landscape, with an extensive background in educational studies and a decade-long experience as a K-12 teacher. Holding a Ph.D. from Mount Saint Vincent University in Halifax, Canada, he brings a unique perspective to the educational world by integrating his profound academic knowledge with his hands-on teaching experience. Dr. Kharbach's academic pursuits encompass curriculum studies, discourse analysis, language learning/teaching, language and identity, emerging literacies, educational technology, and research methodologies. His work has been presented at numerous national and international conferences and published in various esteemed academic journals.

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Google can now solve trickier math problems for you with these new features

Math is a challenging subject because it requires an understanding of how to perform the operation to reach an answer, which makes it more difficult to Google an equation to find the answer difficult -- until now.
Google added new updates to Search and Lens that make it easier for users to get assistance when solving math problems. All users have to do now is type the equation or integral into the Search bar, or take a picture with Lens to get a step-by-step explanation or solution.
Also: Chrome on iOS unveils a much-anticipated feature. Here's how to access it
To test out the experience for yourself, on desktop, you can type in an equation or type the term "Math Solver" on Google Search where you will be prompted to enter a math problem or select from the examples to see how it works. The math solver experience will be coming to mobile soon.
Lens can also be leveraged by users to take a photo of geometry triangle problems, solving the challenge of trying to put primarily visual problems into words.
Advancements in Google's large language models also give Search the capability to solve word problems.
All you have to do is type the problem into Search, where you will be met with steps that tell you how to solve the problem by identifying the known and unknown values and providing correct formulas.
Also: The AI I want to see in the world: 5 ways it could manage my Gmail inbox for me
Lastly, Google is also making it easier to explore STEM-related concepts on Search by including 3D models and interactive diagrams for almost 1,000 biology, chemistry, physics, astronomy, and related topics, according to Google.
For example, if you Google "mitochondrion" you will have the opportunity to click on and learn from an interactive diagram that provides an overview, as well as specific details about the individual parts.
Google's new tools help users verify the authenticity of images online faster
Google Meet's new touch-up feature will give you a quick makeover for your meeting
These two past Pixel phone problems are popping up again on Google's new flagship
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Ai might disrupt math and computer science classes — in a good way.
For as long as Jake Price has been a teacher, Wolfram Alpha – a website that solves algebraic problems online – has threatened to make algebra homework obsolete.
Teachers learned to work around and with it, said Price, assistant professor of mathematics and computer science at the University of Puget Sound. But now, they have a new homework helper to contend with: generative artificial intelligence tools, such as ChatGPT.
Price doesn’t see ChatGPT as a threat, and he’s not alone. Some math professors believe AI, when used correctly, could help strengthen math instruction. And it’s arriving on the scene at a time when math scores are at a national historic low and educators are questioning if math should be taught differently.
AI can serve as a tutor, giving a student who is floundering with a problem immediate feedback. It can help a teacher plan math lessons, or write a variety of math problems geared toward different levels of instruction. It can even show new computer programmers sample code, allowing them to skip over the boring chore of learning how to write basic code.
As schools across the country debate banning AI tools, some math and computer science teachers are embracing the change because of the nature of their discipline.
“Math has always been evolving as technology evolves,” said Price. Years ago, people were using slide rules and doing their multiplication with logarithmic tables. Then, along came calculators.
Price teaches with human-capable technologies in mind, making sure to give students the skills in class by hand. Then, he discusses with them the limitations of the technologies they might be tempted to use when they get home.
“Computers are really good at doing tedious things,” Price said. “We don’t have to do all the tedious stuff. We can let the computer do it. And then we can interpret the answer and think about what it tells us about the decisions we need to make.”
He wants his students to enjoy looking for patterns, seeing how different methods can give different or the same answers and how to translate those answers into decisions about the world.
“ChatGPT, just like the calculator and just like the slide rule and all the technology before, just helps us get at that core, real part of math,” Price said.
Conversely, ChatGPT has its limits. It can show the right steps to solving a math problem – and then give the wrong answer.
This is because it’s “not actually doing the math,” Price said. It’s just pulling together pieces of the sentences where other people have described how to solve similar problems.
Min Sun, a University of Washington education professor, thinks students should use ChatGPT like a personal tutor. If students get lost in class and don’t understand a mathematical operation, they can ask ChatGPT to explain it and give them a few examples.
The Khan Academy, an educational nonprofit that provides a collection of online learning tools and videos and has long been a go-to for math homework, has created exactly that.
The tutor is called Khanmigo. Students can open it while completing math problems and tell it that they are stuck.
They can have a conversation with the AI tutor, telling it what they don’t understand, and the AI tutor helps to explain, said Kristen DiCerbo, the chief learning officer at Khan Academy.
“Instead of saying, ‘Here’s the answer for you,’ it says things like, ‘What’s the next step?’ or ‘What do you think might be the next thing to do?’ ” DiCerbo said.
For the math teacher
Sun, the UW education professor, wants teachers to use ChatGPT as their own assistant: to plan math lessons, give students good feedback and communicate with parents.
Teachers can ask AI, “What is the best way to teach this concept?” Or “What are the kinds of mistakes students tend to make when learning this math concept?” Or, “What kinds of questions will students have about this concept?”
Teachers can also ask ChatGPT to recommend different levels of math problems for students with different mastery of the concept, she said. This is particularly helpful for teachers who are new to the profession or have students with diverse needs – special education or English language learners, Sun said.
“I’m amazed by the details that sometimes ChatGPT can offer,” Sun said. “It gives you some initial ideas and possible problem areas for students so I can get myself more prepared before walking into the classroom.”
And, if a teacher already has a high-quality lesson plan, they could feed that to ChatGPT and ask it to create another lesson in a similar teaching style, but for a different concept.
Sun hopes ChatGPT can also help teachers write more culturally appropriate word-problem questions to make all their students feel included.
“The current technology is really a technical assistant to support them, empower them, amplify their creative abilities,” Sun said. “It is really not a substitute to their own agency, their own creativity, their own professionalism. They really need to keep that in mind.”
For the computer science teacher
A year ago, if you asked Daniel Zingaro how he assesses his introductory computer science students, he would say: “We ask them to write code.”
But if you ask him today, the answer would be far more complex, said Zingaro, an associate professor at the University of Toronto.
Zingaro and Leo Porter, a computer science professor at the University of California, San Diego, authored the book Learn AI-Assisted Python Programming with GitHub Copilot and ChatGPT. They believe AI will allow introductory computer science classes to tackle big-picture concepts.
A lot of beginner students get stuck writing very simple code, Porter and Zingaro said. They never move on to more advanced questions – and many still can’t write simple code after they complete the course.
“It’s not just uninteresting, it is frustrating,” Porter added. “They are trying to build something and they forgot a semicolon and they’ll lose three hours trying to find that missing semicolon” or some other bit of syntax that prevents a code from running properly.
AI doesn’t make those mistakes, and allows computer science professors to spend more of their time teaching higher-level skills.
The professors now ask their students to take a big problem and break it down to smaller questions or tasks the code needs to do. They also ask students to test and debug code once it is already written.
“If we think bigger picture about what we want our students to do, we want them to write software that is meaningful to them,” Porter said. “And this process of writing software is taking this fairly big, often not-well-defined problem and figuring out, how do I break them into pieces?”
Magdalena Balazinska, director of the University of Washington’s Paul G. Allen School of Computer Science and Engineering, embraces the progress AI has made.
“With the support of AI, human software engineers get to focus on the most interesting part of computer science: answering big software design questions,” Balazinska said. “AI allows humans to focus on the creative work.”
Not all professors in the field think AI should be integrated into the curriculum. Some interviewed for a UC San Diego research paper and in an Education Week survey prefer blocking or negating the use of ChatGPT or similar tools like Photomath, at least in the short term.
Zingaro and Porter argue that reading a lot of code generated by AI doesn’t feel like cheating. Rather, it’s how a student is going to learn.
“I think a lot of programmers read a lot of code, just like how I believe the best writers read a lot of writing,” Zingaro said. “I think that is a very powerful way to learn.”
Robotic heart surgery gives Donny Jones a rapid recovery, more energy
Donny Jones was born with a heart that was a little bit different.

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AI might disrupt math and computer science classes — in a good way. Nov. 1, 2023 Updated Wed., Nov. 1, 2023 at 4:13 p.m. University of Washington's Computer Ethics class, taught by Prof. Dan ...