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47. Underline the significant digits in each of the following measurements. If a digit is uncertain, place a question mark below it. 0 m, (i) 400 m Ans. 100 m rule 3 ?? 48. 00 m (b) kilograms in 49 g Ans. 40 cm (two significant digits) CHAP. 49. In which of the following problems are the numbers of significant digits retained? 5 cm) Ans. 50. 31 MATHEMATICAL METHODS IN CHEMISTRY (a) and (c). 078 cm Ans. 51. 13 cm Ans. 52. 5 cm2 (d) 7128 cm Perform the following calculations to the proper number of significant digits.

3 kg/L) in kilograms per cubic meter (kg/m3 ). Ans. 64. 3 g/mL? Ans. 63. 25 kg. 00 g/mL)? Ans. 90 kg/L The board will float in water, since it is less dense. 00 kg/L. 34 MATHEMATICAL METHODS IN CHEMISTRY [CHAP. 70. Convert −40◦ F to degrees Celsius. ◦ Ans. 71. Change the following temperatures in degrees Celsius to kelvins: (a) 15◦ C, (b) −15◦ C, and (c) −265◦ C. Ans. 72. Change the following temperatures in kelvins to degrees Celsius: (a) 330 K, (b) 282 K, and (c) 302 K. Ans. 73. 30 km/h to meters per second.

47. Underline the significant digits in each of the following measurements. If a digit is uncertain, place a question mark below it. 0 m, (i) 400 m Ans. 100 m rule 3 ?? 48. 00 m (b) kilograms in 49 g Ans. 40 cm (two significant digits) CHAP. 49. In which of the following problems are the numbers of significant digits retained? 5 cm) Ans. 50. 31 MATHEMATICAL METHODS IN CHEMISTRY (a) and (c). 078 cm Ans. 51. 13 cm Ans. 52. 5 cm2 (d) 7128 cm Perform the following calculations to the proper number of significant digits.

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