To round 6.6666 to the thousandths place, you look at the digit in the thousandths position, which is 6. The next digit, in the ten-thousandths position, is also 6. Since this digit is 5 or greater, you round up the thousandths digit from 6 to 7. Therefore, 6.6666 rounded to the thousandths place is 6.667.
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