Concept explainers
(a)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(b)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(c)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(d)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(e)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(f)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(g)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
(h)
Interpretation:
For the given set of measurements the significant figures has to be determined.
Concept introduction:
Significant figures: The digits having a meaning in a given number are called as significant figures.
Significant figures – calculation rules
- Significant figure is a non-zero number (4443.2 has five significant figures)
- Zero’s placement in between non-zero number are significant figures (40005 has five significant figures).
- Zero’s before the non-zero number are not significant number (0.00040005 has five significant figures).
- Zero’s after the non-zero number are significant in case of that number contains decimal point (4.5000 has five significant figures).
- Zero’s after the non-zero number may or may not be a significant figure in case of that number does not have a decimal point (500 may have 1, 2 or 3 significant figures). In this cases use scientific notation to avoid ambiguity.
To give: The significant figures for the given measurement
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Chemistry: Atoms First
- Perform 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_forwardFor each of the following numbers, determine the number ofsignificant figures it contains, rewrite it without using scientific notation, and determine thenumber of significant figures in the result. (a) 3.050 × 10–4 , (b) 4.3200 × 102 , (c) 8.001 × 10–7, (d) 2.006080 × 105 , (e) 1.503 × 10–5 , (f) 6.07510 × 104arrow_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
- 2. 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_forwardHow 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_forwardb) One sphere has a radius of 5.10 cm; another has a radius of 5.00 cm. What is the difference in volume (in cubic centimeters) between the two spheres? Give the answer to the correct number of significant figures. The volume of a sphere is (4/3)TTr³, where TT= 3.1416 and r is the radius.arrow_forward
- Perform 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_forwardwhat is the number of significant figures in each of the following measured quantities:(a) 351 g, (b) 0.0100 mL, and (d) 3.72 x 10-3 cm?arrow_forwardCarry 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_forward
- The volume of a certain bacterial cell is 2.56 mm3. (a) What is its volume in cubic millimeters (mm3)? (b) What is the volume of 105 cells in liters (L)?arrow_forwardPerform the following arithmetic operations, and report the result to the proper number of significant figures:(a) 105.5 L + 10.65 L, (b) 81.058 m − 0.35 m, (c) 3.801 × 1021 atoms + 1.228 × 1019 atoms, (d) 1.255 dm × 25 dm, (e) 139 g ÷ 275.55 mL.arrow_forward(a) A cube of osmium metal 1.500 cm on a side has a mass of76.31 g at 25 °C. What is its density in g/cm3 at this temperature?(b) The density of titanium metal is 4.51g/cm3 at 25 °C.What mass of titanium displaces 125.0 mL of water at 25 °C? (c) The density of benzene at 15 °C is 0.8787 g/mL. Calculatethe mass of 0.1500 L of benzene at this temperature.arrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning