How to do calculations in science
\(\require{mhchem}\) Example 1. Speed, distance, and time Problem How long does it take a bee flying at 20 m/s to cover a distance of 100 m? List what you know $$s = 20~\ce{m/s}, d = 100~\ce{m}, t = ?$$ Write out the equation speed = distance / time, $$s=\frac{d}{t}$$ Substitute in your values $$20=\frac{100}{t}$$ Rearrange if necessary Multiply both sides by t. $$20t = 100$$ Divide both sides by 20. $$t = \frac{100}{20}$$ Calculate your answer $$t = 5$$ Check and format the answer, showing units. Is your answer sensible? $$t = 5~\ce{s}$$ (no requirements in the question for decimal places or significant figures). Sensible = yes. Check by backwards calculation. $$s=\frac{100}{5}=20~\ce{m/s}$$ Correct. Example 2. Concentration, volume, and number of moles Problem ...