Concept explainers
(a)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a nonexponential term and exponential term in the form of
Answer to Problem 1.56E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplicationscan be expressed as follows:
The answer of a given multiplication can be calculated as follows:
The above answer is adjusted to a standard position. The decimal is shifted one place to the left and the power of
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(b)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplicationis to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a nonexponential term and exponential term in the form of
Answer to Problem 1.56E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of a given multiplication can be calculated as follows:
Hence, the answer of a given multiplication is
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(c)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a nonexponential term and exponential term in the form of
Answer to Problem 1.56E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of a given multiplication can be calculated as follows:
Hence, the answer of a given multiplication is
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
(d)
Interpretation:
The given numbers are to be expressed using scientific notation and also the answer of the given multiplication is to be expressed by using scientific notation.
Concept introduction:
Scientific notation is used to write large numbers or small numbers as the product of a nonexponential term and exponential term in the form of
Answer to Problem 1.56E
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
Explanation of Solution
The given question is,
To express the number
To express the number
The given multiplication expressed using scientific notation is shown below.
The multiplications can be expressed as follows:
The answer of a given multiplication can be calculated as follows:
Hence, the answer of a given multiplication is
The given multiplication expressed using scientific notation is shown below.
The answer of the given multiplication expressed by using scientific notation is
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Chapter 1 Solutions
Chemistry for Today: General, Organic, and Biochemistry
- Consider multiplying “26.2” by “16.43.” What would a mathematician say the answer is? What would a scientist say? Justify the scientist’s answer, not merely citing the rule, hut explaining it.arrow_forward1. Describe how to use conversion factors correctly using an example. 2. Write a number between 1.000 and 9999999.99. Write the number of significant figures in your number. 3. Give an example of how to find significant figures in calculations for A addition or subtraction B. multiplication and divisionarrow_forwardDo the following calculations to the correct number of significant figures: a.) 3.8 x 105-8.45 x 104 b.) 0.004 + 0.09879 c.) 1459.3 + 9.77/ 4.32 d.) 432/7.3-28.523arrow_forward
- a. When 12.12 and 86.8 are added, the answer should be based on Enter the answer with the correct number of digits. 12.12 + 86.8= b. When 75.91 is divided by 54.2, the answer should be based on Enter the answer with the correct number of digits. 75.91 + 54.2 =arrow_forwardA. Type the number 1340000 in scientific notation. B. Type the number 0.000354 in scientific notation. C. Type the number 3.14×103 in standard notation.arrow_forward5. The volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced. Find the volume and density of the following: a. An irregular piece of the mineral quartz is found to weigh 12.4 g. It is then placed into a graduated cylinder that contains some water. The quartz does not float. The water in the cylinder was at a level of 25.2 mL before the quartz was added and at 29.9 mL afterward. b. The volume of a sample of lead shot is determined using a graduated cylinder, as in part (a). The cylinder readings are 16.3 mL before the shot is added and 21.7 mL after. The sample of the shot weighs 61.0 g. c. A sample of coarse rock salt is found to have a mass of 11.7 g. The volume of the sample is determined by the graduated cylinder method described in (part a), but kerosene is substituted for water because the salt will not dissolve in kerosene. The cylinder readings are 20.7 mL before adding the salt and 26.1 mL after.arrow_forward
- 7. Perform the following mathematical operations and report your answer in proper scientific notation and to the correct number of significant figures: a. log (3.250 x 10-7) = Answer: b. log (0.35 x 10º) = Answer: 105.10 Answer: C.arrow_forwardPerform the calculation to the correct number of significant figures. (43.998 * 0.00552)/2.002a) 0.121 b) 0.12 c) 0.12131 d) 0.1213arrow_forwardUsing the arithmetic problem below, determine the correct number of significant figures. (1.5x10-4x3.0)+2.01 a.) 2.0192 b.) 2.01 c.) 2.019 d.) 2.02 e.) 2.019195arrow_forward
- Do the following calculations to the correct number of significant figures: a.) 87.6 + 9.888+2.3+100.77 b.) 43.7-2.341 c.) 89.6 + 98.33-4.674 d.) 6.99-5.772 e.) 3.8 x 10 5-8.45 x 104arrow_forward80. Perform the following calculations and report your answer with the proper number of significant digits. a. (4.66 x 102 mm²) / (23.3 mm) b. (3.18 x 10-5 m³) / (6.929 × 10-8 m) c. (215 g) / (3.5 × 10² mL) d. (19.55 g) / (21.21 mL) e. (6.172 x 105 m²)(7.17 x 102 m) f. (6.33 g) + (12.3 × 10~2 g)arrow_forwardThe volume of an irregularly shaped solid can be determined by immersing the solid in a liquid and measuring the volume of liquid displaced. Find the volume and density of the following: a. An irregular piece of the mineral quartz is found to weigh 12.4 g. It is then placed into a graduated cylinder that contains some water. The quartz does not float. The water in the cylinder was at a level of 25.2 mL before the quartz was added and at 29.9 mL afterward. The volume of a sample of lead shot is determined using a graduated cylinder, as in part (a). The cylinder readings are 16.3 mL before the shot is added and 21.7 mL after. The sample of shot weighs 61.0 g.arrow_forward
- Introductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage Learning