Chapter 5, Problem 27A

(a)

Interpretation Introduction

Interpretation: The answer in the significant notation to be written.

Concept introduction: Scientific notation is quantitative information is called a measurement and exists of a number and a unit. By using scientific notation too large or too small numbers are conveniently expressed.

Answer to Problem 27A

Two significant digits is $57\times {10}^3$ .

Explanation of Solution

In final result number of significant figures is the same as that in the measurement with smallest number of significant figures.

The given number is $5681\times {10}^3$ .

Third digit (8) is greater than 5. Above digit is increased by 1. Thus two significant digits $57\times {10}^3$ .

(b)

Interpretation Introduction

Interpretation: The answer to the correct number of significant digits to be calculated.

Concept introduction: Scientific notation is quantitative information is called a measurement and exists of a number and a unit. By using scientific notation too large or too small numbers are conveniently expressed.

Answer to Problem 27A

Three significant digits is $104\times {10}^2$ .

Explanation of Solution

In final result number of significant figures is the same as that in the measurement with smallest number of significant figures.

The given number is $103.8\times {10}^2$ .

Fourth digit (8) is greater than 5. Above digit is increased by 1. Thus three significant digits $104\times {10}^2$ .

(c)

Interpretation Introduction

Interpretation: The answer to the correct number of significant digits to be calculated.

Concept introduction: Scientific notation is quantitative information is called a measurement and exists of a number and a unit. By using scientific notation too large or too small numbers are conveniently expressed.

Answer to Problem 27A

The four significant digits is $0.4449\times {10}^3$ .

Explanation of Solution

In final result number of significant figures is the same as that in the measurement with smallest number of significant figures.

The given number is $0.44491\times {10}^3$ . Last digit (1) is less than 5. Thus four significant digits is $0.4449\times {10}^3$ .

(d)

Interpretation Introduction

Interpretation: The answer to the correct number of significant digits to be calculated.

Concept introduction: Scientific notation is quantitative information is called a measurement and exists of a number and a unit. By using scientific notation too large or too small numbers are conveniently expressed.

Answer to Problem 27A

The three significant digit is 6.83.

Explanation of Solution

In final result number of significant figures is the same as that in the measurement with smallest number of significant figures.

The given number is 6.8264. Fourth digit (6) is greater than 5. Above digit is increased by 1. Thus number become 6.83