Chapter 5, Problem 39A

(a)

Interpretation Introduction

Interpretation: The value 13.6 cm need to be converted to inches.

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 39A

The answer is 5.35 in

Explanation of Solution

Relation between cm and in is as follows:

2.54 cm =1 in

Conversion factor is as follows:

  $\frac{2.54\text{cm}}{1\text{in}}\text{or}\frac{1\text{in}}{2.54\text{cm}}$

Conversion of 13.6 cm to inches is as follows:

  $\begin{array}{c}13.6\cancel{\text{cm}}\text{×}\frac{\text{1in}}{\text{2}\text{.54}\cancel{\text{cm}}}\text{=5}\text{.35433071in}\\ \text{=5}\text{.35in}\end{array}$

Both term has three significant digits. Thus the answer has three significant digits. The final answer is 5.35 in

(b)

Interpretation Introduction

Interpretation: The value 13.6 in need to be converted to centimeter.

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 39A

The answer is 34.5cm

Explanation of Solution

Relation between cm and in is as follows:

2.54 cm =1 in

Conversion factor is as follows:

  $\frac{2.54\text{cm}}{1\text{in}}\text{or}\frac{1\text{in}}{2.54\text{cm}}$

Conversion of 13.6 inches to cm is as follows:

  $\begin{array}{c}13.6\cancel{\text{in}}\text{×}\frac{\text{2}\text{.54cm}}{1\cancel{\text{in}}}\text{=34}\text{.544cm}\\ \text{=34}\text{.5cm}\end{array}$

Both term has three significant digits. Thus the answer has three significant digits. The final answer is 34.5cm

(c)

Interpretation Introduction

Interpretation: The value 1.25 mi need to be converted to feet.

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 39A

The answer is 8026feet.

Explanation of Solution

Relation between cm and in is as follows:

5280 ft =1 mile

Conversion factor is as follows:

  $\frac{5280\text{ft}}{1\text{mile}}\text{or}\frac{1\text{mile}}{5280\text{ft}}$

Conversion of 1.52 mi to feet is as follows:

  $\begin{array}{c}1.52\cancel{\text{mi}}\text{×}\frac{\text{5280feet}}{\cancel{\text{mi}}}\text{=8025}\text{.6feet}\\ \text{=8026feet}\end{array}$

5280 has four significant digits. Thus the answer has four significant digits. The final answer is 8026feet.

(d)

Interpretation Introduction

Interpretation: The value 2.53 m need to be converted to feet.

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 39A

The answer is 8feet

Explanation of Solution

Relation between feet and meter is as follows:

  $\frac{\text{1yard}}{\text{3ft}}\text{or}\frac{\text{1m}}{\text{1}\text{.0936yards}}$

Conversion of 13.6 cm to inches is as follows:

  $\begin{array}{c}\text{253}\cancel{\text{m}}\text{×}\frac{\text{1}\text{.0936}\cancel{\text{yards}}}{\text{1}\cancel{\text{m}}}\text{×}\frac{\text{3feet}}{\text{1}\cancel{\text{yards}}}\text{=8}\text{.300424feet}\\ \text{=8feet}\end{array}$

3 has three significant digits. Thus the answer has one significant digits. The final answer is 8feet.

(e)

Interpretation Introduction

Interpretation: The value 452sec need to be converted to minutes.

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 39A

The answer is 7.5min

Explanation of Solution

Relation between second and minute is as follows:

1minute =60 second

Conversion factor is as follows:

  $\frac{\text{1min}}{60\sec }\text{or}\frac{\text{60 sec}}{\text{1min}}$

Conversion of 452 sec to minute is as follows:

  $\begin{array}{c}452\cancel{\sec }\text{×}\frac{1\min }{60\cancel{\sec }}\text{=7}\text{.53333min}\\ \text{=7}\text{.5min}\end{array}$

Final answer is 7.5min

(f)

Interpretation Introduction

Interpretation: The value 3.44 m need to be converted to centimeter.

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 39A

The answer is 344cm.

Explanation of Solution

Relation between cm and in is as follows:

1m =100cm

Conversion factor is as follows:

  $\frac{\text{1m}}{\text{100cm}}\text{or}\frac{\text{100m}}{\text{1m}}$

Conversion of 13.6 cm to inches is as follows:

  $3.44\cancel{\text{m}}\text{×}\frac{\text{100cm}}{\cancel{\text{m}}}\text{=344cm}$

The answer is 344cm.

(g)

Interpretation Introduction

Interpretation: The value 5.21yd need to be converted to meters.

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 39A

The answer is 4.764meter.

Explanation of Solution

Relation between cm and in is as follows:

1.0936yards =1meter

Conversion factor is as follows:

  $\frac{2.54\text{cm}}{1\text{in}}\text{or}\frac{1\text{in}}{2.54\text{cm}}$

Conversion of 13.6 cm to inches is as follows:

  $5.21\cancel{\text{yd}}\text{×}\frac{\text{1meter}}{1.0936\cancel{\text{yd}}}\text{=4}\text{.764meter}$

The answer is 4.764meter.

(h)

Interpretation Introduction

Interpretation: The value 1.03 lb need to be converted to ounces.

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 39A

The answer is 16.48

Explanation of Solution

Relation between cm and in is as follows:

1lb =16ounces

Conversion factor is as follows:

  $\frac{\text{1lb}}{\text{16oz}}\text{or}\frac{\text{16oz}}{\text{1lb}}$

Conversion of 13.6 cm to inches is as follows:

  $\begin{array}{c}1.03\cancel{\text{lb}}\text{×}\frac{\text{16oz}}{1\cancel{\text{lb}}}\text{=16}\text{.48oz}\\ \text{=16}\text{.48oz}\end{array}$

The answer is 16.48