Concept explainers
(a)
Interpretation:
The answer for the given calculations has to be given with correct number of significant figures.
Concept Introduction
Significant figures: The digits having a meaning in a given number are called as significant figures.
- The number of decimal places in the answer of addition or subtraction can be determined by the number having lowest number of decimal places.
- The significant number of answer in multiplication and division is determined by the number having the smallest number of significant figures.
(b)
Interpretation:
The answer for the given calculations has to be given with correct number of significant figures.
Concept Introduction
Significant figures: The digits having a meaning in a given number are called as significant figures.
- The number of decimal places in the answer of addition or subtraction can be determined by the number having lowest number of decimal places.
- The significant number of answer in multiplication and division is determined by the number having the smallest number of significant figures.
(c)
Interpretation:
The answer for the given calculations has to be given with correct number of significant figures.
Concept Introduction
Significant figures: The digits having a meaning in a given number are called as significant figures.
- The number of decimal places in the answer of addition or subtraction can be determined by the number having lowest number of decimal places.
- The significant number of answer in multiplication and division is determined by the number having the smallest number of significant figures.
(d)
Interpretation:
The answer for the given calculations has to be given with correct number of significant figures.
Concept Introduction
Significant figures: The digits having a meaning in a given number are called as significant figures.
- The number of decimal places in the answer of addition or subtraction can be determined by the number having lowest number of decimal places.
- The significant number of answer in multiplication and division is determined by the number having the smallest number of significant figures.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Chemistry In Context
- 1.87 A solution of ethanol in water has a volume of 54.2 mL and a mass of 49.6 g. what information would you need to look up and how would you determine the percentage of ethanol in this solution?arrow_forwardExactly 1 liter of a solution contains 31.4 grams of a certain dissolved substance. What mass in grams is in exactly 2 liters? How about 7.37 liters? Express the results in the proper number of significant figures.arrow_forwardA person weighed 15 pennies on a balance and recorded the following masses: 3.112 g 3.109 g 3.059 g 2.467 g 3.079 g 2.518 g 3.129 g 2.545 g 3.050 g 3.053 g 3.054 g 3.072 g 3.081 g 3.131 g 3.064 g Curious about the results, he looked at the dates on each penny. Two of the light pennies were minted in 1983 and one in 1982. The dates on the 12 heavier pennies ranged from 1970 to 1982. Two of the 12 heavier pennies were minted in 1982. a. Do you think the Bureau of the Mint changed the way it made pennies? Explain. b. The person calculated the average mass of the 12 heavy pennies. He expressed this average as 3.0828 g 0.0482 g. What is wrong with the numbers in this result, and how should the value be expressed?arrow_forward
- 2. Do the following calculations and use the correct number of significant figures in your answers. Assume all numbers are the results of measurements. a. 0.208 + 4.9 + 1.11 b. 228 + 0.999 + 1.02 c. 8.543 − 7.954 d.(3.2 × 10−2) + (5.5 × 10−1) (hint: Write in the decimal form first, then add.) e. 336.86 − 309.11 f. 21.66 − 0.02387arrow_forwardDetermine the number of significant figures. 1. 100432.6783 / 2 2. 0.000004523 x 2.34 + 10.00000 3. 0.000004523 x 2.34 + 10arrow_forwardAdd or subtract the following measurements. Be sure each answer you enter contains the correct number of significant digits. 4.50 mL + 0.827 ml. = 11.827 ml + 8.9 mL = ml. 14.97 mL 9.800 mL = ml. 0.8 The symbol of a simple unprefixed SI unit has been left off of each measurement in the table below. Fill in the missing unit symbols. the volume of water in a tall glass= the height of basketball player Earvin "Magic" Johnson = the world record for the 100m freestyle swim = the height of a tree= X 0.50 2.06 4490 10.0arrow_forward
- part A: Sort the following numbers according to whether they should be rounded up or down when rounding to the nearest tenth (the first digit after the decimal). 3.1760, 4.319, 19.47, 5.82, 66.9214, 8878.2010, 7.084, 124.76 part B: Drag the answers that have been correctly rounded to the appropriate number of significant figures to their place in the table. To avoid rounding errors, start with the unrounded value before conducting each manipulation. Drag the appropriate labels to their respective targets. View Available Hint(s)for Part B Reset Help 14.93 Group 3 14.93 12 Group 1 12 14.92 Group 3 14.92 3.62 Group 4 3.62 14 Group 3 14 3.7 Group 4 3.7 15 Group 3 15 3.6 Group 4 3.6 15.0 Group 3 15.0 3.63 Group 4 3.63 14.9 Group 3 14.9 3.623 Group 4 3.623 12.47 Group 1 12.47 7.97 Group 2 7.97 12.46 Group 1 12.46 7.966 Group 2 7.966 12.4 Group 1 12.4 7.0 Group 2 7.0 13 Group 1 13 7.96 Group 2 7.96 12.5 Group 1 12.5 8.0 Group 2 8.0 3.622 Group 1…arrow_forwardA student uses a 100.00 mL volumetric flask to determine the density of a sample of water. The mass of the dry empty flask is determined to be 80.354 g. The flask is filled to the line 5 times with the water sample and the mass of the flask and the water is determined each time giving the 5 masses below. measurement 1: 172.275 g measurement 2: 172.288 g measurement 3: 172.28 g measurement 4: 172.263 g measurement 5: 172.378 g Based on the data given above, what is the average density of the sample in g/mL based on those measurements? Enter your answer with 3 significant figures.arrow_forwardConvert 7.2 qt to μL. Be sure your answer has the correct number of significant figures. Note: Reference the Conversion factors for non-SI units table for additional information. Note: Reference the SI prefixes table for additional information.arrow_forward
- A student adds 3.993 grams of salt to a beaker and then adds an additional 69.220 grams of water to the beaker. After stirring, the salt completely dissolves in the water. Calculate the % salt by mass of this solution. Do not round off your answers until the very end of the calculations. Report your answer to the correct number of significant figures, and do not include units or the % sign in your answer.arrow_forwardMultiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. mol 78.08 L. | mol x 12. L = mol 836.1 mol + 30.6 L 0.934 mL x 0.90 mL %3D Continuearrow_forwardTo determine the density of a solution, the mass and volume of two samples are measured. The results are recorded in the table. Sample 1 Sample 2 Mass (g) 9.90 9.84 Volume (mL) 10.0 10.07 In each sample, which measurement limits the number of significant digits in the calculated density? a. both measurements are limiting b. The mass measurement is limiting c. The volume measurement is limiting Sample 1____ Sample 2 ____ c.arrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningIntroductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage Learning