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  • Once upon a time, in the magical and very round Land of Pi, there lived six swashbuckling musketeers.

  • Their names were Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

  • But each was known best by his or her mark:

  • The two hands ready to catch a fly of Parentheses, the small and raised digits of Exponents, the mighty X of Multiplication, slash of Division, plus of Addition, and, well, you can guess the symbol by which little Subtraction was best known.

  • The Land of Pi was not necessarily the most peaceful place, and that's why the numbers of the kingdom needed the musketeers.

  • The Land of Pi had been ruled by the numbers as an anarcho-syndicalist commune, each number with a vote.

  • But, one powerful numberfrom what we'll call the Imperial Senateengineered a war between some robot things and the knights of the kingdom, and then installed himself as Supreme Emperor.

  • And then, Puff the Magic Digit Dragon ate him, and a princess or two, and, well, all the other numbers in the Land of Pi, actually.

  • It was kind of a big day.

  • Anyway, the musketeers were called to action to save the Land of Pi from the voracious dragon.

  • They rode towards him on their valiant steeds and attacked.

  • First Multiplication, then Parenthesesbut that didn't work.

  • The dragon continued eating people.

  • So Addition tried, but was thrown aside.

  • Exponents leaped at the beast and was quickly squashed.

  • Nothing was working.

  • The musketeers huddled and formulated a plan.

  • They would attack in sequence, but who should go first?

  • They bickered for a while, the dragon ate a few more princesses, and then they finally agreed.

  • They jumped into the first, smallest parentheses inside the great Puff the Digit Dragon.

  • Parentheses pointed out where to work first and protected Exponents, Multiplication, Division, Addition, and Subtraction while they diced and sliced.

  • "First here, then move over there, then there."

  • "Look out! There's another set!"

  • Parentheses pointed and Exponents took the lead.

  • Then, it was Multiplication, Division, Addition, and Subtraction, each in turn, always the same order.

  • P-E-M-D-A-S.

  • When they finished that set, they went to another, and another, always working inside the Parentheses in PEMDAS order.

  • Pop! Pop! Pop! Pop! Pop!

  • PEMDAS, there's another spot!

  • Don't forget, there can be Parentheses inside Parentheses.

  • There's one!

  • And that tricky exponent.

  • There we go!

  • Finally, the PEMDAS Musketeers had whittled Puff down to his last fearsome roar.

  • But, having vanquished Puff the Magic Digit Dragon, all the empire's numbers sprang again from this tiny little number one, and they all lived happily ever after

  • except for the Emperor Number, which they threw into the mouth of an ancient creature nesting in the desert.

  • The End.

Once upon a time, in the magical and very round Land of Pi, there lived six swashbuckling musketeers.

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TED-ED】数学でドラゴンを倒す方法 - ガース・サンデム (【TED-Ed】How to defeat a dragon with math - Garth Sundem)

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