Chemistry for Today: General, Organic, and Biochemistry
Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN: 9781305960060
Author: Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher: Cengage Learning
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Question
Chapter 1, Problem 1.60E
Interpretation Introduction

(a)

Interpretation:

The answer of the given calculation 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 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 1.60E

The answer of the given calculation expressed by using scientific notation is 1.74×101.

Explanation of Solution

The given question is,

(5.3)(0.22)(6.1)(1.1)

Firstly, the numerator and denominator terms are solved separately and then the division is carried out as shown below.

(5.3)(0.22)(6.1)(1.1)=1.1666.71=0.174

The answer of the given fraction is 0.174 and it can also be expressed as 0.174×100.

The above answer is adjusted to a standard position. The decimal is shifted one place to the right and the power of 10 is changed from 0 to 1. Hence, the answer of a given fraction is 1.74×101.

Conclusion

The answer of the given calculation expressed by using scientific notation is 1.74×101.

Interpretation Introduction

(b)

Interpretation:

The answer of the given calculation 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 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 1.60E

The answer of the given calculation expressed by using scientific notation is 1.02×109.

Explanation of Solution

The given question is,

(3.8×104)(1.7×102)6.3×103

The fraction can be expressed as follows:

a×10xb×10y=(ab)(10xy)

Firstly, the numerator term is solved separately and then the division is carried out as shown below.

(3.8×1.7)(1042)6.3×103=(6.466.3)(1063)=1.02×109

Hence, the answer of a given fraction is 1.02×109.

Conclusion

The answer of the given calculation expressed by using scientific notation is 1.02×109.

Interpretation Introduction

(c)

Interpretation:

The answer of the given calculation 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 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 1.60E

The answer of the given calculation expressed by using scientific notation is 2.59×106.

Explanation of Solution

The given question is,

(4.8×106)(7.4×103)(2.5×104)

The fraction can be expressed as follows:

a×10xb×10y=(ab)(10xy)

Firstly, the denominator term is solved separately and then the division is carried out as shown below.

(4.8×106)(7.4×2.5)(×1034)=(4.818.5)(106+1)=0.259×107

The above answer is adjusted to a standard position. The decimal is shifted one place to the right and the power of 10 is changed from 7 to 6. Hence, the answer of a given fraction is 2.59×106.

Conclusion

The answer of the given calculation expressed by using scientific notation is 2.59×106.

Interpretation Introduction

(d)

Interpretation:

The answer of the given calculation 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 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 1.60E

The answer of the given calculation expressed by using scientific notation is 2.33×100.

Explanation of Solution

The given question is,

5.6(0.022)(109)

Firstly, the denominator term is solved separately and then the division is carried out as shown below.

5.6(0.022)(109)=(5.62.398)=2.33

Thus, the answer of a given fraction is 2.33. This number expressed by using scientific notation is 2.33×100.

Conclusion

The answer of the given calculation expressed by using scientific notation is 2.33×100.

Interpretation Introduction

(e)

Interpretation:

The answer of the given calculation 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 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 1.60E

The answer of the given calculation expressed by using scientific notation is 1.52×107.

Explanation of Solution

The given question is,

(4.6×103)(2.3×102)(7.4×104)(9.4×105)

The fraction can be expressed as follows:

a×10xb×10y=(ab)(10xy)

Firstly, the numerator and denominator terms are solved separately and then the division is carried out as shown below.

(4.6×2.3)(×1023)(7.4×9.4)(×1054)=(10.5869.56)(101+9)=0.152×108

The above answer is adjusted to a standard position. The decimal is shifted one place to the right and the power of 10 is changed from 8 to 7. Hence, the answer of a given fraction is 1.52×107.

Conclusion

The answer of the given calculation expressed by using scientific notation is 1.52×107.

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Chapter 1 Solutions

Chemistry for Today: General, Organic, and Biochemistry

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