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The latest activity to be updated on this site is called "Estimate Powers and Roots" (Estimate the powers and roots of the given positive numbers.).

So far this activity has been accessed 13461 times and 616 people have earned a Transum Trophy for completing it.

Estimate Powers and Roots

Learning to estimate powers and roots is important for pupils as it helps develop their problem-solving skills and mathematical reasoning. By being able to estimate the values of powers and roots, students can make quick calculations and approximate results in everyday situations. For example, estimating the square root of a number helps in estimating distances or areas in real-life scenarios.

Understanding how to estimate powers and roots also helps students develop a better grasp of number sense and make more informed decisions when dealing with numerical data. It enhances their ability to approximate values and be more efficient with mental arithmetic.

Moreover, the topic of estimating powers and roots is crucial in building a strong foundation for more advanced mathematical concepts in algebra and calculus. It lays the groundwork for understanding exponential functions, complex numbers, and other higher-level mathematical operations.

Overall, learning to estimate powers and roots in mathematics is essential for pupils to develop their mathematical skills, problem-solving abilities, and to apply mathematical concepts in various practical situations."


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The Transum Newsletter for September 2025 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

Recent News:

A strange quantum effect could power future electronics

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Scientists discover forgotten particle that could unlock quantum computers

Scientists may have uncovered the missing piece of quantum computing by reviving a particle once dismissed as useless. This particle, called the neglecton, could give fragile quantum systems the full power they need by working alongside Ising anyons. What was once considered mathematical waste may now hold the key to building universal quantum computers, turning discarded theory into a pathway toward the future of technology. more...

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Harvard’s ultra-thin chip could revolutionize quantum computing

Researchers at Harvard have created a groundbreaking metasurface that can replace bulky and complex optical components used in quantum computing with a single, ultra-thin, nanostructured layer. This innovation could make quantum networks far more scalable, stable, and compact. By harnessing the power of graph theory, the team simplified the design of these quantum metasurfaces, enabling them to generate entangled photons and perform sophisticated quantum operations — all on a chip thinner than a human hair. It's a radical leap forward for room-temperature quantum technology and photonics. more...

Half of today’s jobs could vanish—Here’s how smart countries are future-proofing workers

AI is revolutionizing the job landscape, prompting nations worldwide to prepare their workforces for dramatic changes. A University of Georgia study evaluated 50 countries’ national AI strategies and found significant differences in how governments prioritize education and workforce training. While many jobs could disappear in the coming decades, new careers requiring advanced AI skills are emerging. Countries like Germany and Spain are leading with early education and cultural support for AI, but few emphasize developing essential human soft skills like creativity and communication—qualities AI can't replace. more...

The AI that writes climate-friendly cement recipes in seconds

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Study deepens understanding of cell migration, important for potential medical advances

A new study integrated mathematical modeling with advanced imaging to discover that the physical shape of the fruit fly egg chamber, combined with chemical signals, significantly influences how cells move. Cell migration is critical in wound healing, immune responses, and cancer metastasis, so the work has potential to advance a range of medical treatments. more...

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