envy

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  1. 0.999...... 1.000...... are not "almost equal" ... they are EQUAL proof 1)) 1/3 = 0.333...... 3*1/3 = 0.333*3 but also 3*1/3 = 1 0.999.... = 1 proof 2)) let x = 0.999..... 10x = 9.999.... subtract the two equations.... 9x = 9 ... or x=1, but assumption 1, x=0.9999 ..... thus 0.999.... = 1 ....or if you like, 1.0000.....