(a)
Interpretation:
The
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant.The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
(b)
Interpretation:
The number
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
(c)
Interpretation:
The number 186,000 should be expressed in four significant figures.
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
(d)
Interpretation:
The number 33900 should be expressed in four significant figures.
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
(e)
Interpretation:
The number
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
(f)
Interpretation:
The number
Concept introduction:
All nonzero digits are significant and zeros are significant, if preceding the decimal point, or following the decimal point and preceding the first nonzero digit, are not significant. The case of terminal zeros that precede the decimal point in quantitiesgreater than one is ambiguous.
Therule of rounding off is to increase the final digit by one unit if the digitdropped is 5, 6, 7, 8, or 9 and to leave the final digit unchanged if the digitdropped is 0, 1, 2, 3, or 4.
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GENERAL CHEMISTRY(LL)-W/MASTERINGCHEM.
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- Determine the number of significant figures in the following measurements: (a) 443 cm, (b) 15.03 g, (c) 0.0356 kg, (d) 3.000 × 10–7L, (e) 50 mL, (f) 0.9550 m.arrow_forwardPerform the following arithmetic operations and report the result to the proper number of significant figures: (a) 317.5 mL + 0.675 mL,(b) 47.80 L − 2.075 L, (c) 13.5 g ÷ 45.18 L, (d) 6.25 cm × 1.175 cm, (e) 5.46 × 102 g + 4.991 × 103g.arrow_forwardPerform the following arithmetic operations, and report the result to the proper number of significantfigures: (a) 1.0267 cm × 2.508 cm × 12.599 cm, (b) 15.0 kg ÷ 0.036 m3 , (c) 1.113 × 1010 kg − 1.050 × 109 kg, (d) 25.75 mL + 15.00 mL, (e) 46 cm3 + 180.5 cm3arrow_forward
- Carry out the following conversions: (a) 1.42 lightyears to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or 365 days; the speed of light is 3.00x10^8 m/s), (b) 32.4 yd to centimeters, (c) 3.0 3x10^10 cm/s to ft/s.arrow_forwardExpress the results of the following additions and subtractions to the proper number of significant figures. All of thenumbers are measured quantities.(a) 245.876+ 4.65+ 0.3678 =(b) 798.36 - 1005.7 + 129.652 =(c) 7.98 × 1017 + 6.472 × 1019 =(d) (4.32 × 10-15) - (6.257 × 10-14) - (2.136 × 10-13) =arrow_forwardCarry out the following conversions: (a) 32.4 yd to centimeters, (b) 3.0 × 1010 cm/s to ft/s, (c) 1.42 light-years to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or365 days; the speed of light is 3.00 × 108m/s).arrow_forward
- How many significant figures are in each of the following numbers (assume that each number is a measured quantity)?(a) 4.003, (b) 6.023 * 1023, (c) 5000.arrow_forwardConvert the following temperatures to degrees Celsiusor Fahrenheit: (a) 95°F, the temperature on a hotsummer day; (b) 12°F, the temperature on a cold winterday; (c) a 102°F fever; (d) a furnace operating at1852°F; (e) −273.15°C (theoretically the lowestattainable temperature).arrow_forward2. Carry out the following operations and express the answer with the appropriate number of significant figures and units: (a) (5.231 mm)(6.1 mm), (b) 72.3 g/1.5 mL, (c) 12.21 g+0.0132 g, and (d) 31.03 g+ 12 mg.arrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning