Chapter 5, Problem 9A

(a)

Interpretation Introduction

Interpretation: The meaning of kilo needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of kilo is 1000.

Explanation of Solution

In the metric system, kilo is a decimal unit.

1kilo=1000

1000 can be written is as follows:

  $\begin{array}{c}1000=10\times 10\times 10\\ ={10}^3\end{array}$

Thus, ${\text{Kilo=10}}^{\text{3}}$ .

(b)

Interpretation Introduction

Interpretation: The meaning of centi needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of centi is ${10}^{-2}$ .

Explanation of Solution

In the metric system, centi is the unit prefix.

  $\text{1centi}=\frac{\text{1}}{100}$

  $\frac{\text{1}}{100}$ can be written is as follows:

  $\begin{array}{c}\frac{\text{1}}{100}=\frac{\text{1}}{{10}^2}\\ ={10}^{-2}\end{array}$

Thus, $\text{Centi=}{10}^{-2}$ .

(c)

Interpretation Introduction

Interpretation: The meaning of milli needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of milli is ${10}^{-3}$ .

Explanation of Solution

In the metric system, milli is a decimal unit.

  $\text{1milli}=\frac{\text{1}}{1000}$

  $\frac{\text{1}}{1000}$ can be written is as follows:

  $\begin{array}{c}\frac{\text{1}}{1000}=\frac{\text{1}}{{10}^3}\\ ={10}^{-3}\end{array}$

Thus, $\text{deci =}{10}^{-1}$ .

(d)

Interpretation Introduction

Interpretation: The meaning of deci needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of deci is ${10}^{-1}$ .

Explanation of Solution

In the metric system, deci is a decimal unit.

  $\text{1deci}=\frac{\text{1}}{10}$

  $\frac{\text{1}}{10}$ can be written is as follows:

  $\begin{array}{c}\frac{\text{1}}{10}=\frac{\text{1}}{{10}^1}\\ ={10}^{-1}\end{array}$

Thus, $\text{deci =}{10}^{-1}$ .

(e)

Interpretation Introduction

Interpretation: The meaning of nano needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of nano is ${10}^{-9}$ .

Explanation of Solution

In the metric system, nano is a decimal unit.

  $\begin{array}{c}\text{1nano}=\frac{\text{1}}{1000000000}\\ =\frac{1}{{10}^9}\\ ={10}^{-9}\end{array}$

Thus, $\text{nano =}{10}^{-9}$ .

(f)

Interpretation Introduction

Interpretation: The meaning of micro needs to be indicated.

Concept introduction: A metric prefix is a suffix of a unit that introduces a simple unit of measure to denote a unit multiple or submultiple. Each prefix has a unique symbol, prepended on any symbol of the unit. Since the size of the fundamental units is not always convenient thus, the SI system uses prefixes to change the size of the unit.

Answer to Problem 9A

The meaning of micro is ${10}^{-6}$ .

Explanation of Solution

In the metric system, micro is a decimal unit.

  $\begin{array}{c}\text{1micro}=\frac{\text{1}}{1000000}\\ =\frac{1}{{10}^6}\\ ={10}^{-6}\end{array}$

Thus, $\text{micro =}{10}^{-6}$ .