Concept explainers
Express each of the following numbers using scientific notation, then carry out the multiplication. Express each answer using scientific notation.
a.
b.
c.
d.
(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 non-exponential term and exponential term in the form of
Answer to Problem 1.57E
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 multiplication can be expressed as follows:
The answer of the given multiplication can be calculated as follows:
Hence, the answer of the 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
(b)
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 non-exponential term and exponential term in the form of
Answer to Problem 1.57E
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 the 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
(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 non-exponential term and exponential term in the form of
Answer to Problem 1.57E
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 the given multiplication can be calculated as follows:
Hence, the answer of the 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 non-exponential term and exponential term in the form of
Answer to Problem 1.57E
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 the given multiplication can be calculated as follows:
The above answer is adjusted to a standard position. The decimal is shifted towards one place 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
Want to see more full solutions like this?
Chapter 1 Solutions
Chemistry For Today: General, Organic, And Biochemistry, Loose-leaf Version
Additional Science Textbook Solutions
Introductory Chemistry (5th Edition) (Standalone Book)
Principles of General, Organic, Biological Chemistry
Chemistry: Structure and Properties
EBK INTRODUCTION TO CHEMISTRY
Organic Chemistry
Elementary Principles of Chemical Processes, Binder Ready Version
- Consider the addition of “1 5.4” to “28.” What would a mathematician say the answer is? What would a scientist say? justify the scientist’s answer, not merely citing the rule, but explaining it.arrow_forwardCalculate the correct number of the significant figures: a.) 1459.3 + 9.77 / 4.32 b.) 0.004 + 0.09879 c.) 2.4 - 1.777 d.) 0.00456 / 1.0936arrow_forwardDo the following calculations to the correct number of significant figures: a.) 453/2.031 b.) 432/7.3-28.523 c.) 5.01 x 105/ 7.8 x 102 d.) 1459.3 + 9.77/ 4.32arrow_forward
- 1.-How many significant figures are in the following numbers? 0.70620 a. b. 5010 4548 C. d. 0.00045050 7.210 x 105 e. 2.-Round up the following numbers to the designated significant figures to 2 significant figure 32445.34 to 1 significant figure 85518 to 4 significant figures 526544 3.-Express each answer in scientific notation and with the proper number of significant figures a. 1,027611 +363.06 = b. 217 903 118.7 2-35.5 C. d. 28 x 47.3= e. (5.2 x 10) x (3.33 x 102) 4.-Convert the following numbers to scientific notation, use prefixes and use only 2 significant figures Example 52,000,000 g 52 X 10 g 52Mg 52 megagrams 0.0000003 g a. b 26198151 L 1546 m C. 5.-What does the slope of each line on the graph tell you? 6.-Which runner finish the race first red, blue or green? TIME (seconds) b) 4x+2-2(x+6) 7.-Solve for X in the following equations: a) 25 554x-4.245 8.-Classify each statement as a law, a theory, an experiment, a hypothesis, an observation Birds evolved from dinosaurs. 1. Hot…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_forwarda. 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_forward
- No need to explain. Just give the answers directly. Thank you. 1. Round off 1.274 to one (1) significant figure 2. Round off 1653 to one (1) significant figure 3. Round off 534.5 to three (3) significant figuresarrow_forwardNo need to explain. Just give the answers directly. Thank you. 1. If your final answer is 4.5023485 grams, what will you input as your final answer? 2. Round off 0.274 to two (2) significant figures 3. Round off 20.0847 to two (2) significant figuresarrow_forwardDo 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_forward
- A scientific theory is a tentative explanation for an observation. Question 1 options: True False Question 2 Complete the following calculation. Report your answer with the correct number of significant figures. (2.071 / 6.4415) - 10.65 = ?arrow_forward4. Measure the line and answer the following. 0 cm 1 2 4 a. What is your measurement? 5 6 7 8 9 b. How many significant figures are in your measurement? c. Are both digits to the left of the decimal point significant? 10 11 12 13 14arrow_forwardA. Rounding Off A.1 Rounding A student rounded off the following calculator displays to three significant figures. Indicate if the rounded number is correct. If it is incorrect, round off the display value properly. Calculator Student's Correct (yes/no). Corrected (if needed) Display Rounded Value 24.4704 24.5 143.63212 144 532 800 530 0.00858345 0.009 8. 8.00 17arrow_forward
- World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage LearningChemistry for Today: General, Organic, and Bioche...ChemistryISBN:9781305960060Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. HansenPublisher:Cengage Learning
- Introductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage LearningIntroductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage Learning