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From: http://betterexplained.com/static/articles/rethinking-arithmetic-a-visual-guide/ http://betterexplained.com/static/articles/rethinking-arithm... 1 * x^2
by darkerside 11y ago
From: http://betterexplained.com/static/articles/rethinking-arithmetic-a-visual-guide/ http://betterexplained.com/static/articles/rethinking-arithm...
1 * x^2 = 9
"What transformation (“times x”), when applied twice, will turn 1 into 9?"
That's such a great way of thinking about algebra. The "understood" 1 is equivalent to, e.g., an understood "YOU" in the English language.
- kalid 11y agoBeautiful way to put it! We aren't always explicit about the subject of the transformation. Similarly, when working with exponents, I think: e^ix is really 1 * e^ix That is, we're starting with 1.0 and doing a transformation (rotation) on it.