Because important decisions are often made on the basis of measurements.
Would you like your doctor to diagnose your illness on the basis of a very rough measure of you pulse / blood pressure / etc. Would you like your builder to build a house on approximate vertical angles? Or your car to be designed on rough calculations?
The article at the link below should help you get a handle on the subtle differences between accuracy and precision.
The best measurement to find the length of a grasshopper would be to use a ruler or caliper. Measure from the tip of its head to the end of its abdomen, ensuring that the grasshopper is straightened out for an accurate reading. This measurement should be taken in centimeters or millimeters for precision. It's important to handle the grasshopper gently to avoid stress or injury.
The accuracy of a measurement method depends on various factors, including the context, the tools used, and the specific parameters being measured. Some methods may be more precise due to lower variability or systematic errors, while others might be easier to implement but less reliable. Ultimately, the choice of method should consider the specific requirements of the measurement task, including the desired level of accuracy and the potential for bias. Thus, one method may be more accurate than another in certain situations but not universally.
No, when multiplying or dividing measurements, the answer should have the same number of significant figures as the measurement with the fewest significant figures. This rule ensures that the precision of the result reflects the least precise measurement used in the calculation. Therefore, the final answer should be rounded accordingly to maintain appropriate significant figures.
Yes, when adding and subtracting, precision is measured based on significant figures (sig figs). The final result should be reported with the same number of decimal places as the measurement with the least number of decimal places among the values involved in the calculation. This ensures that the precision of the result reflects the least precise measurement.
The article at the link below should help you get a handle on the subtle differences between accuracy and precision.
A graduated cylinder or a volumetric flask should be used to make a precise measurement of liquid volume. These tools have calibrated markings on the side that allow for accurate measurements to be made. It is important to ensure that the liquid level is read at eye level to minimize any parallax error.
The last bit of liquid in the pipette should be blown out gently to ensure accurate and precise delivery of the intended volume. Avoiding the introduction of air bubbles in the solution is important to maintain the accuracy of the measurement.
gradulated cylinder
Yes, the precision of an answer depends on the precision of the measurements used in the calculation. The number of significant figures in the answer should match the least number of significant figures in the measurements.
the nearest .01 mL
( 1 ) Measurement should be accurate. ( 2 ) Measurement must have the correct units specified.
Graduated cylinder
If it is a new meter stick you can place it at the end of the stick, otherwise if it is old or shows some wear you should measure from the 1 centimeter mark and then subtract one centimeter from the answer.
The end of a meter stick is less precise due to potential wear and tear, leading to inaccuracies in measurement. Using the end can also introduce parallax error when aligning with a measurement scale. It is advisable to use the edge or the start of the scale for more accurate and consistent measurements.
A precise instrument. It is not necessarily accurate.
the measured quantity with the least number of significant figures. For example, if you multiply a quantity with 3 significant figures by a quantity with 2 significant figures, your result should have 2 significant figures.