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Reptends and Reciprocals

13 点作者 pavel_lishin22 天前

1 comment

Joker_vD20 天前
Every time I see the US notation for the long division I am momentarily taken aback by its topsy-turviness. Why write the dividend and divisor in the swapped order, divisor being to the left of the dividend? Why write the answer at the <i>top</i>? Why not keep the natural &quot;dividend &#x2F; divisor&quot; order and then write the answer to the <i>right</i>? Just like this:<p><pre><code> 1 &#x2F; 28 = 0.03571428... -0 — 100 - 84 —— 160 -140 ——— 200 -196 ——— 40 -28 —— 120 -112 ——— 80 -56 —— 240 -224 ——— 160 </code></pre> ? No wonder school students struggle with it so much: it&#x27;s the most subtle arithmetic algorithm on its own, and adding frivolous notational convolutions only complicates things further. &quot;Start by swapping the numbers, and write the divisor to the left of the dividend&quot;— no, don&#x27;t start with that, this step is completely unnecessary. Well, I guess it could be worse: they could&#x27;ve put the answer on the bottom, and made chain of subtractions go up, now <i>that</i> would be trippy (look up the &quot;galley division method&quot;, I am not making this up).
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