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  1. www.sciencefocus.com › science › how-do-we-know-thatHow do we know that the value of Pi goes on forever?

    The Swiss mathematician Johann Lambert proved this around 250 years ago by showing that Pi can’t be expressed exactly as the ratio of one number to another – in other words, it’s an ‘irrational’ number that goes on forever, never repeating itself. While we often use rational values for Pi like 22/7, these are only approximations to ...

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  3. www.sciencefocus.com › science › how-do-we-know-thatHow do we know that Pi is infinite?

    Many people know that the value of Pi is roughly 22 divided by 7, which is around 99.96 per cent accurate – plenty good enough for most practical purposes. But in 1768, the Swiss mathematician Johann Lambert revealed the remarkable fact that it’s impossible to use any such fractions to pin down the precise value of Pi, as it just goes on ...

  4. www.scienceabc.com › pure-sciences › do-we-have-anyDo We Have Any Mathematical Proof That Pi Is Infinite?

    Oct 19, 2023 · Pi is finite, whereas its expression is infinite. Pi has a finite value between 3 and 4, precisely, more than 3.1, then 3.15 and so on. 3 < π < 4. Hence, pi is a real number, but since it is irrational, its decimal representation is endless, so we call it infinite. Pi has an infinite expression.

    • Amruta Iyer
    • 3 min
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  5. www.bbc.co.uk › bitesize › articlesPi - The infinitely interesting number - BBC Bitesize

    Yes, Pi is a number that goes on forever! Why do we celebrate Pi on March 14? The idea to celebrate Pi on this date came from the United States. In the USA, ...

    • Is Pi a number that goes on forever?1
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  6. fivethirtyeight.com › features › even-after-22Even After 22 Trillion Digits, We’re Still No Closer To The ...

    Mar 14, 2018 · While treating pi as equal to 3.14 is often good enough, the number really continues on forever, a seemingly random series of digits ambling infinitely outward and obeying no discernible pattern ...

  7. www.askamathematician.com › 2013 › 12Q: How do we know that π never repeats? If we find enough ...

    Dec 20, 2013 · So, if something has a forever-repeating decimal expansion, then it is a rational number. Equivalently, if something is an irrational number, then it does not have a repeating decimal. For example, √2 is an irrational number. So, in order to prove that a number doesn’t repeat forever, you need to prove that it is irrational.

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  9. www.mathematics-monster.com › glossary › piPi (Key Stage 3) - Mathematics Monster

    Pi Goes On Forever Pi is an irrational number; it cannot be expressed as a ratio of two numbers. Because of this, Pi goes on forever. 22 / 7 As Pi is irrational, it cannot be expressed as a fraction. However, it can be approximated by 22 ⁄ 7. 22 ⁄ 7 = 3.14285, which is slightly larger than π = 3.14159. The Pi Pie

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