# Question: Why are simplified models used in scientific study if they

Why are simplified models used in scientific study if they do not exactly match real conditions?

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Why is it important to write quantities with the correct number of significant figures? Write these numbers in scientific notation: (a) The U.S. population, 290 000 000; (b) The diameter of a helium nucleus, 0.000 000 000 000 003 8 m. Solve the following problem and express the answer in meters with the appropriate number of significant figures and in scientific notation: 3.08 × 10−1 km + 2.00 × 103 cm Density is the ratio of mass to volume. Mercury has a density of 1.36 × 104 kg/m3. What is the density of mercury in units of g/cm3? An equation for the period T of a planet (the time to make one orbit about the Sun) is 4π2r3/( GM ), where T is in s, r is in m, G is in m3/(kg⋅s2), and M is in kg. Show that the equation is dimensionally correct.Post your question