Chapter 1, Problem 1.114QP

Write each of the following in terms of the SI base unit (that is, express the prefix as the power of 10).

1. a 6.6 mK
2. b 275 pm
3. c 22.1 ms
4. d 45 μm

Interpretation Introduction

Interpretation:

The given terms of SI base unit and prefix has to be expressed as power of 10.

Concept Introduction:

Metric prefix is the one which follows a basic unit of measurement in order to indicate fraction or multiple of the units.  There are seven SI base units.  From these base units all the other units can be derived.  Prefix is used to indicate the value in power of 10.  This is a physical quantity and it is known as SI prefix.  The seven base units are meter, kilogram, second, kelvin, mole, ampere, and candela.  Some of the prefix are mega, kilo, deci, centi etc.

Answer to Problem 1.114QP

The given terms of SI base unit and prefix has to be expressed as power of 10 is $6.6\text{×}{\text{10}}^{\text{-3}}\text{K}$.

Explanation of Solution

The term that is given in the problem statement is $\text{6}\text{.6 mK}$

This can be expressed with power of 10 as follows,

$\begin{array}{l}\text{1 mK }\text{=}{\text{10}}^{\text{-3}}\text{ K}\\ \text{Therefore,}\\ \text{6}\text{.6 mK}\text{=}\text{6}\text{.6 }\times {\text{10}}^{\text{-3}}\text{ K}\end{array}$

Interpretation Introduction

Interpretation:

The given terms of SI base unit and prefix has to be expressed as power of 10.

Concept Introduction:

Metric prefix is the one which follows a basic unit of measurement in order to indicate fraction or multiple of the units.  There are seven SI base units.  From these base units all the other units can be derived.  Prefix is used to indicate the value in power of 10.  This is a physical quantity and it is known as SI prefix.  The seven base units are meter, kilogram, second, kelvin, mole, ampere, and candela.  Some of the prefix are mega, kilo, deci, centi etc.

Answer to Problem 1.114QP

The given terms of SI base unit and prefix has to be expressed as power of 10 is $\text{2}\text{.75}\text{×}{\text{10}}^{\text{-10}}\text{m}$.

Explanation of Solution

The term that is given in the problem statement is $\text{275 pm}$

This can be expressed with power of 10 as follows,

$\begin{array}{l}\text{1 pm }\text{=}{\text{10}}^{\text{-12}}\text{ m}\\ \text{Therefore,}\\ \text{275 pm}\text{=}275\text{ ×}{\text{10}}^{\text{-12}}\text{ m}\\ \text{=}2.75\text{ ×}{\text{10}}^{\text{-10}}\text{ m}\end{array}$

Interpretation Introduction

Interpretation:

The given terms of SI base unit and prefix has to be expressed as power of 10.

Concept Introduction:

Metric prefix is the one which follows a basic unit of measurement in order to indicate fraction or multiple of the units.  There are seven SI base units.  From these base units all the other units can be derived.  Prefix is used to indicate the value in power of 10.  This is a physical quantity and it is known as SI prefix.  The seven base units are meter, kilogram, second, kelvin, mole, ampere, and candela.  Some of the prefix are mega, kilo, deci, centi etc.

Answer to Problem 1.114QP

The given terms of SI base unit and prefix has to be expressed as power of 10 is $\text{2}\text{.21}\text{×}{\text{10}}^{\text{-2}}\text{s}$.

Explanation of Solution

The term that is given in the problem statement is $\text{22}\text{.1 ms}$

This can be expressed with power of 10 as follows,

$\begin{array}{l}\text{1 ms }\text{=}{\text{10}}^{\text{-3}}\text{ s}\\ \text{Therefore,}\\ \text{22}\text{.1}\text{ms}\text{=}\text{22}\text{.1 ×}{\text{10}}^{\text{-3}}\text{ s}\\ \text{=}2.21\text{ ×}{\text{10}}^{\text{-2}}\text{ s}\end{array}$

Interpretation Introduction

Interpretation:

The given terms of SI base unit and prefix has to be expressed as power of 10.

Concept Introduction:

Metric prefix is the one which follows a basic unit of measurement in order to indicate fraction or multiple of the units.  There are seven SI base units.  From these base units all the other units can be derived.  Prefix is used to indicate the value in power of 10.  This is a physical quantity and it is known as SI prefix.  The seven base units are meter, kilogram, second, kelvin, mole, ampere, and candela.  Some of the prefix are mega, kilo, deci, centi etc.

Answer to Problem 1.114QP

The given terms of SI base unit and prefix has to be expressed as power of 10 is $\text{4}\text{.5}\text{×}{\text{10}}^{\text{-5}}\text{m}$.

Explanation of Solution

The term that is given in the problem statement is $\text{45 μm}$

This can be expressed with power of 10 as follows,

$\begin{array}{l}\text{1 μm }\text{=}{\text{10}}^{\text{-6}}\text{ m}\\ \text{Therefore,}\\ \text{45 μm}\text{=}\text{45 ×}{\text{10}}^{\text{-6}}\text{ m}\\ \text{=}4.5\text{ ×}{\text{10}}^{\text{-5}}\text{ m}\end{array}$