Final answer:
To estimate the quotient of 6.1 divided by 8, you can round the divisor and dividend to more manageable numbers and remember the significance of rounding and significant figures, estimating a result close to 0.75 or 0.76.
Step-by-step explanation:
Estimating the quotient of 6.1 divided by 8 involves division, which is a fundamental mathematical operation. In this case, a good estimate would be to round the numbers to make the division easier. Since 8 goes into 64 exactly 8 times, using the number 6 (close to 6.1) and knowing 8 goes into 64 shows us that the quotient will be a little less than 8. An estimation can be done by considering that 8 times 0.5 (half of 8) is 4, and since 6.1 is a bit less than 6.4 (8 times 0.8), we can estimate the result to be a little more than 0.75 but less than 1. Thus, a reasonable estimation would be around 0.75 or 0.76 if we want to be slightly more precise, showing that we are aware of rounding rules and significant figures.
Calculators can provide more decimal places than necessary, but it's the human's job to decide how many places to report based on the level of precision required by the context of the problem. In this case, even if a calculator gives more decimal places, we are focusing on an estimation, so a single decimal place should suffice.