(a)
Interpretation: The correct number of significant figure has to be given..
Concept introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(a)
Answer to Problem 26RPS
Explanation of Solution
In
The multiplication of
The number of significant figures should the answer contain is the fewest number of significant figures of the given quantity. All the three quantities possess same significant figures. Hence, the answer should be written as
(b)
Interpretation: The correct number of significant figure has to be given..
Concept introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(b)
Answer to Problem 26RPS
Explanation of Solution
In
The value of
(c)
Interpretation: The correct number of significant figure has to be given..
Concept introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(c)
Answer to Problem 26RPS
Explanation of Solution
In
The value of
(d)
Interpretation: The correct number of significant figure has to be given..
Concept introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(d)
Answer to Problem 26RPS
Explanation of Solution
The division and multiplication of:
Finally, on the multiplication of
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Chapter 1 Solutions
Chemistry & Chemical Reactivity
- Perform the following calculations and report each answer with the correct number of significant figures.(a) 62.8 × 34(b) 0.147 + 0.0066 + 0.012(c) 38 × 95 × 1.792(d) 15 – 0.15 – 0.6155(e) 8.78 × ((0.0500)/(0.478))(f) 140 + 7.68 + 0.014(g) 28.7 – 0.0483(h) ((88.5 − 87.57)/(45.13))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_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_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_forward3. Solve the following problems, stating answers to the proper number of significant figures: (a) 12.62 + 1.5 + 0.25 = (b) (2.25 x 10³) (4.80 x 104) = (c) 10.4 + 3.75 (1.5 x 104) =arrow_forwardBe sure to answer all parts. Carry out the following operations as if they were calculations of experimental results and express each answer in standard notation with the correct number of significant figures and with the correct units. Enter both the answer and the units in the answer field. (a) 7.2129 m + 0.6 m + 4.33 m (b) 3.70 g-4.0933 g (c) 4.51 cm x 5.9233 cmarrow_forward
- 3. Solve the following problems, stating answers to the proper number of significant figures:(a) 12.62 + 1.5 + 0.25 = (b) (2.25 x 103) (4.80 x 104) = (c) 10.4 + 3.75 (1.5 x 104) =arrow_forwardReport all numerical answers to the correct number of significant figures! (a) Give the names of the following elements: (i) Ag (ii) V (b) Give the symbols of the following elements: (i) aluminum (ii) copper 1. 2. Report the answers of these calculations to the correct number of significant figures: (a) 3.7793 x 8.324 x 7.4976 = ? (b) 10.4071 +66.1441 +12.515 = ? (c) (7.971 x 10¹7) (3.75 x 10³)/7.8416 = ? (Report answer in exponential notation.)arrow_forwardHow many significant figures are there in each of the following?(a) 81.0 ± 0.8 (b) 3.827 ✕ 109 (c) 2.94 ✕ 10−6 (d) 0.0015arrow_forward
- Carry 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(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_forwardPrecious metals and gems are measured in Troy weights in the English system. Use the unit relationship given below to perform the requested calculations (A) what is the mass of 1.0 Troy ounces in grams? (B) The density of gold is 19.3g/cm^3. What is the volume of 12.5 carats of gold in mL? (C) a thief steals 531 pennyweights of silver. How many moles is that? (D) A wedding ring contains 2.56 x 10^22 atoms of diamond. How much are the diamonds in the ring worth if a 1-carat diamond costs $7600.0 ?arrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning