state the precision of the measured quantities
1. 0.07 m
2. 908 s
3. 7.60 L
4. 0.005 0 mm
answers:
1. 0.01 m
2. 1 s
3. 0.01 L
4. 0.0001 mm
i do not understand this , please explain it to me
To determine the precision of a measured quantity, we typically look at the number of decimal places or significant figures used. The precision refers to the level of detail or accuracy in the measurement.
Let's analyze each of the given quantities and identify their precision:
1. 0.07 m:
- The measurement has two decimal places.
- We consider the last decimal place to be the uncertain one.
- Therefore, the precision of the measurement is 0.01 m since we have one significant figure after the decimal point.
2. 908 s:
- The measurement is a whole number with no decimal places.
- In this case, we assume that the measurement is exact.
- Thus, the precision of the measurement is 1 s.
3. 7.60 L:
- The measurement has two decimal places.
- Again, we consider the last decimal place as uncertain.
- Hence, the precision of the measurement is 0.01 L.
4. 0.0050 mm:
- The measurement has four decimal places.
- The last decimal place is uncertain.
- Therefore, the precision is 0.0001 mm, since we have one significant figure after the decimal point.
It is important to note that the precision of a measurement should match the instrument's capability. For example, using an instrument that can measure to the nearest millimeter would not yield a meaningful measurement with a precision of 0.0001 mm.