Final answer:
To round 6/9 to the nearest thousandth, divide 6 by 9 to get 0.66666..., and round to three decimal places considering the next digit. The correct answer is 0.667 (C).
Step-by-step explanation:
When it comes to rounding numbers like 6/9 to the nearest thousandth, one must divide the numerator by the denominator and then look at the fourth decimal place (if there is one) after rounding to three decimal places to decide whether to round up or stay the same. To demonstrate this process:
- Divide 6 by 9 to get the decimal 0.66666...
- Looking at the fourth decimal place, we see that the digit is 6, so we round up the third decimal place.
- The third decimal place after 0.666 is 7, so when rounded to the nearest thousandth, 6/9 becomes 0.667.
Therefore, the correct answer is C) 0.667.