Rounding Answers and

Properly Giving the Answer

Solution

Problem: Express the following results in proper rounded form, x ± Δx.

(i) m = 14.34506 grams, Δm = 0.04251 grams. m = (14.35 +/- 0.04) g
(ii) t = 0.02346 sec, Δt = 1.623 x 10-3 sec.

t = (0.0235 +/- 0.0016) s or
t = (2.35 +/- 0.16) x 10-3s or

(2.35 +/- 0.16) ms
(iii) M = 7.35 x 1022 kg ΔM = 2.6 x 1020 kg. M = (7.35 +/- 0.03) x 1022 kg
(iv) m = 9.11 x 10-33 kg Δm = 2.2345 x 10-33 kg m = (9 +/- 2) x 10-33kg

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