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  • Once upon a time

  • in the magical and very round Land of Pi,

  • there lived six swashbuckling musketeers.

  • There 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 anarcho-syndicalist commune,

  • each number with a vote,

  • but, one powerful number from what we'll call the Imperial Senate,

  • engineered 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 Parentheses,

  • but 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 is 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 nesting creature in the desert.

  • The End.

Once upon a time

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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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    VoiceTube に公開 2021 年 01 月 14 日
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