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OpenStudy (anonymous):
Which rational number equals 0.6 repeating? @Princer_Jones
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zepdrix (zepdrix):
Hey there :) We have some repeating decimal value, we'll call it x.\[\Large\rm x=0.6666...\]If we multiply x by 10, it effectively moves the decimal one place to the right.\[\Large\rm 10x=6.6666...\] What happens if we subtract x from 10x?\[\Large\rm 10x-x=6.6666...-0.6666...\]
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