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Level 20 · ◆◆◆ · ~12 min

Summation and Cancellation

Summation and Cancellation

"Adding a long series left to right loses accuracy, and subtracting two nearly-equal large numbers loses all of it."

error growth in naive summationpairwise and Kahan summationcatastrophic cancellationWelford's algorithm
🚀 You're jumping ahead. This builds on What a Double Actually Is — but play it now and you'll still earn full XP. If it feels steep, those make a gentler on-ramp.

A short lesson, then a quiz. ❤️×3 — a wrong answer costs a heart; finish with at least one left and the level is yours. Lose all three and you'll have to try again. Replay any time — XP and cleared levels are never lost.