I think this article - "A Mathematician's Lament" by Paul Lockhart - is something everyone should read Not exactly an answer to your questions and not exactly aimed at math beginners, unfortunately, but it's a really engaging rant about this topic https://www.maa.org/sites/default/files/pdf/devlin/LockhartsLament.pdf …https://twitter.com/graciegcunning/status/1298804338727489536 …
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2 is now the "a" in a binomial expressed as (10a + b)^2, which expands to 100a^2 + 20ab + b^2 Now to continue to the next decimal place of the solution I need to know what b is
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I expand 7 to 7.00 and subtract 4 (this is me subtracting 100a^2 from the expansion) I am left with 3.00, which is 20ab + b^2, or b(20a + b) The correct value for b is one that leaves the smallest remainder from the number I actually have without going over, like long division
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