To analyze the number of significant digits and the place value of the estimated digit for each of the given measurements, we will break down each measurement accordingly.
a. 30.5 m
- Significant Digits: 3 (the digits 3, 0, and 5 are significant)
- Estimated Digit Place Value: The estimated digit is '5' in the tenths place (0.1).
b. 0.04 g
- Significant Digits: 1 (the digit 4 is significant; the leading zeros are not)
- Estimated Digit Place Value: There is no estimated digit in this measurement, as '4' is exactly given.
c. 6080 ft
- Significant Digits: 3 (the digits 6, 0, and 8 are significant; the trailing zero is not significant without a decimal point)
- Estimated Digit Place Value: The estimated digit is the last '0' in the units place (1.0).
d. 6400 g
- Significant Digits: 2 (the digits 6 and 4 are significant; the trailing zeros are not significant without a decimal point)
- Estimated Digit Place Value: The estimated digit is the last '0' in the units place (1.0).
e. 9.83 x 10^2 km
- Significant Digits: 3 (the digits 9, 8, and 3 are significant)
- Estimated Digit Place Value: The estimated digit is '3' in the hundredths place (0.01).
f. 0.006 x 10 m^3
- Significant Digits: 1 (the digit 6 is significant; the leading zeros are not)
- Estimated Digit Place Value: There is no estimated digit in this measurement, as '6' is exactly given.
To summarize:
- a. 3 significant digits, estimated digit in the tenths place.
- b. 1 significant digit, no estimated digit.
- c. 3 significant digits, estimated digit in the units place.
- d. 2 significant digits, estimated digit in the units place.
- e. 3 significant digits, estimated digit in the hundredths place.
- f. 1 significant digit, no estimated digit.