(a)
Interpretation: The correct number of significant figure for
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 25RPS
Explanation of Solution
In
In
The multiplication of
The number of significant figures should the answer contain is the fewest number of significant figures of the given quantity. Both the quantity possesses same significant figures. Hence, the answer should be written as
(b)
Interpretation: The correct number of significant figure for
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 25RPS
Explanation of Solution
In
In
The subtraction of
The number of decimal places should the answer contain is the fewest decimal places of the given quantity. Both the quantity possesses zero decimal places. Hence, the answer should be written as
(c)
Interpretation: The correct number of significant figure for
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 25RPS
Explanation of Solution
In
In
The division of
The number of significant figures should the answer contain is the fewest number of significant figures of the given quantity. Out of both the quantity
(d)
Interpretation: The correct number of significant figure for
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 25RPS
Explanation of Solution
The division and multiplication of:
Finally, on the multiplication of
Want to see more full solutions like this?
Chapter 1 Solutions
Chemistry & Chemical Reactivity
- Molecular distances are usually given in nanometers (1 nm = 1 109 m) or in picometers (1 pm = 1 1012 m). However, the angstrom () unit is sometimes used, where 1 = 1 1010 m. (The angstrom unit is not an SI unit.) If the distances between the Pt atom and the N atom in the cancer chemotherapy drug cisplatin is 1.97 , What is this distances in nanometers? In picometers?arrow_forwardSuppose a room is 18 m long, 15 m wide, and the distance from floor to ceiling is 2.9 m. What is the room’s volume in cubic meters? In cubic centimeters? In liters?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
- Express the following numbers as decimals:(a) 1.52 × 10−2 , (b) 7.78 × 10−8 , (c) 1 × 10−6, (d) 1.6001 × 103.arrow_forward2. Report the answers of these calculations to the correct number of significant figures: (a) 5.354 x 4.812 x 6.8312 = ? (b) 29.4464 + 10.395 +5.20853= ? (c) (5.7268 x 10¹) (6.9 x 10¹0)/1.0= ? (Report answer in exponential notation.)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
- Write the following numbers in standard notation. Use a ter-minal decimal point when needed:(a) 6.500*10^3(b) 3.46*10^5(c) 7.5*10^2(d) 1.8856*10^2arrow_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_forwardHow many significant figures are there in each number below? (a) 1.903 0 (b) 0.039 10 (c) 1.40 X 104arrow_forward
- Express the results of the following additions and subtractions to the proper number of significant figures. All of thenumbers are measured quantities.(a) 67.314+8.63 - 243.198=(b) 4.31 +64 +7.19 =(c) 3.1256 × 1015 - 4.631 × 1013 =(d) 2.41 × 10-26 -7.83 × 10-25 =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_forwardPerform the following calculations and report each answer with the correct number of significant figures. (a) 635 ✕ 335 (b) (5.23 ✕ 102) ✕ (6.8 ✕ 103) (c) 27.2/13.383 (d) 8179 ✕ 0.000051 (e) 14.23 + 27360 + 84.5721 (f) 47.2 + 0.291arrow_forward
- Introductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning