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Why is measurement important in scientific endeavor?

Experiments are verified using numerically calculated data that are from measurements. These experiments are the core of any scientific theory being proposed.

What does it mean when we say that measurement is ‘uncertain’?

There is no absolute or exact reading. Measurement involves devices, and devices have limitations. No such device exists that has infinite calibrations that could give an exact reading.

Why is the zeroth order of approximation convenient?

There are simple approximation problems such as those that involve calculation of large quantities, where little precision is required. This order of approximation is convenient for such cases.

When is it useful to report measurement readings in the first order of approximation?

This order works for experiments that need higher level of precision. In these cases, rough estimation is not advisable. Actual values are now reported, instead of just the exponents of the scientific notation.

Discuss the advantage of using the second order of approximation in reporting data.