Concept explainers
a.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
b.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
c.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
d.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
GENERAL ORGANIC+BIO...(LL)-W/MOD.ACCESS
- Consider the calculation indicated below: 2.210.072330.154.995 Explain why the answer to this calculation should be reported to only two significant digits.arrow_forwardWhen the calculation(2.31)(4.9795103)/(1.9971104) is performed, how many significant digits should he reported for the answer? You shouldnotneed to perform the calculation.arrow_forwardCalculate the density of aluminum if 27.6 cm3 has a mass of 74.6 g.arrow_forward
- Part J In which pair of numbers do both values contain three significant figures? 540 and 544 50.4 and 0.054 0.0504 and 5040 5.04 and 5400arrow_forwardA 50mL beaker has a mass of 42.503g. Make the following conversions mass in dgarrow_forward1Please help show work and use significant figuresarrow_forward
- (a) How many picometers are there in 1 m? (b) Express6.0 * 103 m using a prefix to replace the power of ten.(c) Use exponential notation to express 4.22 mg in grams.(d) Use decimal notation to express 4.22 mg in grams.arrow_forwardPlease explain parts c, d, and e. Please include significant figures and units. Thanks for your help!arrow_forwardCalculate and record the average density of a penny (in g/mL) that is made after 1982. 95 percent copper and 5 percent zinc made up the composition of pennies before 1982.arrow_forward
- Find the number, which does not have unlimited sig fig? a. two baseballs b. five capsules c. 4 cups d. 16 ounces e. 1.0 kgarrow_forward73. Perform each conversion.(a) 22.5 in. to centimeters (b) 126 ft to meters(c) 825 yd to kilometers (d) 2.4 in. to millimetersarrow_forward74. Perform each conversion.(a) 78.3 in. to centimeters (b) 445 yd to meters(c) 336 ft to centimeters (d) 45.3 in. to millimetersarrow_forward
- Chemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoWorld of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage LearningIntroductory Chemistry: A FoundationChemistryISBN:9781285199030Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
- Introductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStax