The measured mass of a sample of iron was 2.756 g is b) last digit, 6. Therefore, b) last digit, 6 is correct .
In the measurement of the mass of a sample of iron, the digit with the least certainty is typically associated with the instrument's precision or the uncertainty of the measurement process.
In the given measurement of 2.756 g, each digit holds significance, and understanding their roles in terms of precision is essential.
The last digit, 6, is often considered the least certain because it is typically the one that reflects the precision of the measuring instrument.
In this case, the balance or scale used might not have the capability to provide measurements beyond the hundredth of a gram accurately.
As a result, the digit 6 is subject to more uncertainty compared to the digits in the whole number part of the measurement.
The other digits, 2, 7, and 5, contribute to the overall magnitude of the mass and represent increasingly significant place values.
The digit 2 is in the ones place, 7 is in the tenths place, and 5 is in the hundredths place.
Each of these digits contributes to the overall precision of the measurement, but the last digit, 6, is the one most susceptible to uncertainty based on the limitations of the measuring instrument.
Therefore, while all digits are important, the last digit, 6, is often considered to have the least certainty in this particular measurement.
Question
The measured mass of a sample of iron was 2.756 g. Which digit in the measurement has the least certainty?
a) the first digit, 2
b) the last digit, 6
c) the second digit, 7
d) the third digit, 5