Study Guide with Student Solutions Manual for Seager/Slabaugh/Hansen's Chemistry for Today: General, Organic, and Biochemistry, 9th Edition
Study Guide with Student Solutions Manual for Seager/Slabaugh/Hansen's Chemistry for Today: General, Organic, and Biochemistry, 9th Edition
9th Edition
ISBN: 9781305968608
Author: Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher: Cengage Learning
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Chapter 1, Problem 1.56E
Interpretation Introduction

(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 M×10n. The M is any number between 1 to 10 written with a decimal after first non-zero digit in the number and n is the exponent which may be positive or negative.

Expert Solution
Check Mark

Answer to Problem 1.56E

The given multiplication expressed using scientific notation is shown below.

(1.44×102)(8.76×102)

The answer of the given multiplication expressed by using scientific notation is 1.26144×101.

Explanation of Solution

The given question is,

(144)(0.0876)

To express the number 144 using the scientific notation, the non-zero digits should be separated by decimal andonly one non-zero digit should be written before decimal. Thus, the number can be expressed as 1.44×102.

To express the number 0.0876 using the scientific notation, decimal moves two places to the right and only one non-zero digit should be written before decimal. The number of places that the decimal moves to the right becomes exponent n in the form of M×10n. Thus, the number can be expressed as 8.76×102.

The given multiplication expressed using scientific notation is shown below.

(1.44×102)(8.76×102)

The multiplicationscan be expressed as follows:

(a×10y)(b×10z)=(a×b)(10y+z)

The answer of a given multiplication can be calculated as follows:

(1.44×8.76)(102+2)=12.6144×100

The above answer is adjusted to a standard position. The decimal is shifted one place to the left and the power of 10 is changed from 0 to 1. Hence, the answer of a given multiplication is 1.26144×101.

Conclusion

The given multiplication expressed using scientific notation is shown below.

(1.44×102)(8.76×102)

The answer of the given multiplication expressed by using scientific notation is 1.26144×101.

Interpretation Introduction

(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 M×10n. The M is any number between 1 to 10 written with a decimal after first non-zero digit in the number and n is the exponent which may be positive or negative.

Expert Solution
Check Mark

Answer to Problem 1.56E

The given multiplication expressed using scientific notation is shown below.

(7.51×102)(1.06×102)

The answer of the given multiplication expressed by using scientific notation is 7.9606×104.

Explanation of Solution

The given question is,

(751)(106)

To express the number 751 using the scientific notation, the non-zero digits should be separated by decimal and only one non-zero digit should be written before decimal. Thus, the number can be expressed as 7.51×102.

To express the number 106 using the scientific notation, the non-zero digits should be separated by decimal andonly one non-zero digit should be written before decimal. Thus, the number can be expressed as 1.06×102.

The given multiplication expressed using scientific notation is shown below.

(7.51×102)(1.06×102)

The multiplications can be expressed as follows:

(a×10y)(b×10z)=(a×b)(10y+z)

The answer of a given multiplication can be calculated as follows:

(7.51×1.06)(102+2)=7.9606×104

Hence, the answer of a given multiplication is 7.9606×104.

Conclusion

The given multiplication expressed using scientific notation is shown below.

(7.51×102)(1.06×102)

The answer of the given multiplication expressed by using scientific notation is 7.9606×104.

Interpretation Introduction

(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 M×10n. The M is any number between 1 to 10 written with a decimal after first non-zero digit in the number and n is the exponent which may be positive or negative.

Expert Solution
Check Mark

Answer to Problem 1.56E

The given multiplication expressed using scientific notation is shown below.

(4.22×102)(1.19×103)

The answer of the given multiplication expressed by using scientific notation is 5.0218×105.

Explanation of Solution

The given question is,

(0.0422)(0.00119)

To express the number 0.0422 using the scientific notation, decimal moves two places to the right and only one non-zero digit should be written before decimal. The number of places that the decimal moves to the right becomes exponent n in the form of M×10n. Thus, the number can be expressed as 4.22×102.

To express the number 0.00119 using the scientific notation, decimal moves three places to the right and only one non-zero digit should be written before decimal. The number of places that the decimal moves to the right becomes exponent n in the form of M×10n. Thus, the number can be expressed as 1.19×103.

The given multiplication expressed using scientific notation is shown below.

(4.22×102)(1.19×103)

The multiplications can be expressed as follows:

(a×10y)(b×10z)=(a×b)(10y+z)

The answer of a given multiplication can be calculated as follows:

(4.22×1.19)(1023)=5.0218×105

Hence, the answer of a given multiplication is 5.0218×105.

Conclusion

The given multiplication expressed using scientific notation is shown below.

(4.22×102)(1.19×103)

The answer of the given multiplication expressed by using scientific notation is 5.0218×105.

Interpretation Introduction

(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 M×10n. The M is any number between 1 to 10 written with a decimal after first non-zero digit in the number and n is the exponent which may be positive or negative.

Expert Solution
Check Mark

Answer to Problem 1.56E

The given multiplication expressed using scientific notation is shown below.

(1.28×105)(3.16×105)

The answer of the given multiplication expressed by using scientific notation is 4.0448×100.

Explanation of Solution

The given question is,

(128,000)(0.0000316)

To express the number 128,000 using the scientific notation, the non-zero digits should be separated by decimal and only one non-zero digit should be written before decimal. Thus, the number can be expressed as 1.28×105.

To express the number 0.0000316 using the scientific notation, decimal moves five places to the right and only one non-zero digit should be written before decimal. The number of places that the decimal moves to the right becomes exponent n in the form of M×10n. Thus, the number can be expressed as 3.16×105.

The given multiplication expressed using scientific notation is shown below.

(1.28×105)(3.16×105)

The multiplications can be expressed as follows:

(a×10y)(b×10z)=(a×b)(10y+z)

The answer of a given multiplication can be calculated as follows:

(1.28×3.16)(1055)=4.0448×100

Hence, the answer of a given multiplication is 4.0448×100.

Conclusion

The given multiplication expressed using scientific notation is shown below.

(1.28×105)(3.16×105)

The answer of the given multiplication expressed by using scientific notation is 4.0448×100.

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Chapter 1 Solutions

Study Guide with Student Solutions Manual for Seager/Slabaugh/Hansen's Chemistry for Today: General, Organic, and Biochemistry, 9th Edition

Ch. 1 - A sample of liquid alcohol is frozen to a solid,...Ch. 1 - Succinic acid, a white solid that melts at 182C,...Ch. 1 - A sample of solid elemental phosphorus that is...Ch. 1 - Oxygen gas and solid carbon are both made up of...Ch. 1 - Under appropriate conditions, hydrogen peroxide...Ch. 1 - Water can be decomposed to hydrogen gas and oxygen...Ch. 1 - Methane gas, a component of natural gas, is burned...Ch. 1 - Classify each pure substance represented below by...Ch. 1 - Classify each pure substance represented below by...Ch. 1 - Consider the following experiments, and answer the...Ch. 1 - Early scientists incorrectly classified calcium...Ch. 1 - Classify each of the following as homogeneous or...Ch. 1 - Classify each of the following as homogeneous or...Ch. 1 - Classify as pure substance or solution each of the...Ch. 1 - Classify as pure substance or solution each of the...Ch. 1 - Prob. 1.26ECh. 1 - In the distant past, 1in. was defined as the...Ch. 1 - Prob. 1.28ECh. 1 - Which of the following quantities are expressed in...Ch. 1 - Which of the following quantities are expressed in...Ch. 1 - Prob. 1.31ECh. 1 - Prob. 1.32ECh. 1 - Referring only to Table 1.2, answer the following...Ch. 1 - Referring only to Table 1.2, answer the following...Ch. 1 - One inch is approximately equal to 2.54cm. Express...Ch. 1 - Cookbooks are going metric. In such books, 1 cup...Ch. 1 - Two cities in Germany are located 25km apart. What...Ch. 1 - The shotput used by female track and field...Ch. 1 - Referring to Table 1.3, answer the following...Ch. 1 - Prob. 1.40ECh. 1 - Prob. 1.41ECh. 1 - Using appropriate values from Table 1.3, answer...Ch. 1 - Prob. 1.43ECh. 1 - Prob. 1.44ECh. 1 - Prob. 1.45ECh. 1 - Which of the following numbers are written using...Ch. 1 - Which of the following numbers are written using...Ch. 1 - Write each of the following numbers using...Ch. 1 - Write each of the following numbers using...Ch. 1 - Prob. 1.50ECh. 1 - A sheet of paper is 0.0106cm, or 0.0042in., thick....Ch. 1 - Prob. 1.52ECh. 1 - Prob. 1.53ECh. 1 - Do the following multiplications, and express each...Ch. 1 - Prob. 1.55ECh. 1 - Prob. 1.56ECh. 1 - Express each of the following numbers using...Ch. 1 - Prob. 1.58ECh. 1 - Prob. 1.59ECh. 1 - Prob. 1.60ECh. 1 - Prob. 1.61ECh. 1 - Indicate to what decimal position readings should...Ch. 1 - Indicate to what decimal position readings should...Ch. 1 - Write the following measured quantities as you...Ch. 1 - Prob. 1.66ECh. 1 - Prob. 1.67ECh. 1 - Determine the number of significant figures in...Ch. 1 - Prob. 1.69ECh. 1 - Do the following calculations and use the correct...Ch. 1 - Prob. 1.71ECh. 1 - Do the following calculations and use the correct...Ch. 1 - Prob. 1.73ECh. 1 - Do the following calculations and use the correct...Ch. 1 - Do the following calculations and use the correct...Ch. 1 - Prob. 1.76ECh. 1 - Determine a single factor derived from Table 1.3...Ch. 1 - Prob. 1.78ECh. 1 - Prob. 1.79ECh. 1 - Prob. 1.80ECh. 1 - Prob. 1.81ECh. 1 - A metric cookbook calls for 250mL of milk. Your...Ch. 1 - Prob. 1.83ECh. 1 - You have a 40-lb baggage limit for a transatlantic...Ch. 1 - You need 3.00lb of meat that sells for 3.41/lb...Ch. 1 - During a glucose tolerance test, the serum glucose...Ch. 1 - Prob. 1.87ECh. 1 - Prob. 1.88ECh. 1 - Prob. 1.89ECh. 1 - Prob. 1.90ECh. 1 - Prob. 1.91ECh. 1 - Immunoglobulin antibodies occur in five forms. A...Ch. 1 - Calculate the density of the following materials...Ch. 1 - Calculate the density of the following materials...Ch. 1 - Calculate the volume and density of a rectangular...Ch. 1 - Calculate the volume and density of a cube of lead...Ch. 1 - The volume of an irregularly shaped solid can be...Ch. 1 - The density of ether is 0.736g/mL. What is the...Ch. 1 - Calculate the mass in grams of 100.0mL of...Ch. 1 - Do the following metric system conversions by...Ch. 1 - A single water molecule has a mass of 2.991023g....Ch. 1 - Prob. 1.102ECh. 1 - Cooking oil has a density of 0.812g/mL. What is...Ch. 1 - Prob. 1.104ECh. 1 - At 4.0C, pure water has a density of 1.00g/mL. At...Ch. 1 - The following pairs of substances represent...Ch. 1 - Explain why a bathroom mirror becomes foggy when...Ch. 1 - Prob. 1.108ECh. 1 - Liquid mercury metal freezes to a solid at a...Ch. 1 - Prob. 1.110ECh. 1 - Show how the factor-unit method can be used to...Ch. 1 - Prob. 1.112ECh. 1 - Refer to Chemistry Around Us 1.2 and explain what...Ch. 1 - Prob. 1.114ECh. 1 - Which of the following properties is considered a...Ch. 1 - Which of the following properties depicts a...Ch. 1 - Which of the following is a mixture? a.sodium...Ch. 1 - Prob. 1.118ECh. 1 - Prob. 1.119ECh. 1 - The correct formula for converting Fahrenheit to...Ch. 1 - Prob. 1.121ECh. 1 - Prob. 1.122ECh. 1 - Prob. 1.123ECh. 1 - How many millimeters are there in one centimeter?...Ch. 1 - Convert 4.50102nm into pm. a.4.50102pm b.4.50102pm...Ch. 1 - Prob. 1.126ECh. 1 - Convert 4.50102nm into m. a.4.50102m b.4.501011m...Ch. 1 - The quantity 6185meters can be rewritten as: a....Ch. 1 - The number 1,000,000 is what power of 10? a. 106...Ch. 1 - What exponent or power of ten would you use to...Ch. 1 - Express 0.0562 in exponential notation. a....Ch. 1 - Write the correct answer correct number of...Ch. 1 - Prob. 1.133ECh. 1 - The percentage of oxygen by weight in Al2(SO4)3...Ch. 1 - Prob. 1.135ECh. 1 - The density of gold (Au) is 19.3g/cm3 and that of...
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