Chapter 6, Problem 90A

(a)

Interpretation Introduction

Interpretation: To write a number in scientific notation.

Concept introduction:

A technique of writing numbers called scientific notation uses products made up of a number between 1 and 10 multiplied by the appropriate power of 10.

Answer to Problem 90A

  $2.24\times {10}^{-9}\text{ m}$

Explanation of Solution

Given number: $2.24\text{ nm}$

Conversion factor from nm to m is as follows:

  $1\text{ nm}=1\times {10}^{-9}\text{ m}$

Convert number as shown:

  $\begin{array}{c}2.24\text{ nm}=2.24\bcancel{\text{nm}}\times \frac{1\times {10}^{-9}\text{ m}}{1\bcancel{\text{nm}}}\\ =2.24\times {10}^{-9}\text{ m}\end{array}$

(b)

Interpretation Introduction

Interpretation: To write a number in scientific notation

Concept introduction:

A technique of writing numbers called scientific notation uses products made up of a number between 1 and 10 multiplied by the appropriate power of 10.

Answer to Problem 90A

  $7.4\times {10}^{-12}\text{ m}$

Explanation of Solution

Given number: $7.4\text{ pm}$

Conversion factor from pm to m is as follows:

  $1\text{ pm}=1\times {10}^{-12}\text{ m}$

Convert number as shown:

  $\begin{array}{c}7.4\text{ pm}=7.4\bcancel{\text{pm}}\times \frac{1\times {10}^{-12}\text{ m}}{1\bcancel{\text{pm}}}\\ =7.4\times {10}^{-12}\text{ m}\end{array}$

(c)

Interpretation Introduction

Interpretation: To write a number in scientific notation

Concept introduction:

A technique of writing numbers called scientific notation uses products made up of a number between 1 and 10 multiplied by the appropriate power of 10.

Answer to Problem 90A

  $8.13\times {10}^{-2}\text{ m}$

Explanation of Solution

Given number: $8.13\text{ cm}$

Conversion factor from pm to m is as follows:

  $1\text{ cm}=1\times {10}^{-2}\text{ m}$

Convert number as shown:

  $\begin{array}{c}8.13\text{ cm}=8.13\bcancel{\text{cm}}\times \frac{1\times {10}^{-2}\text{ m}}{1\bcancel{\text{cm}}}\\ =8.13\times {10}^{-2}\text{ m}\end{array}$

(d)

Interpretation Introduction

Interpretation: To write a number in scientific notation

Concept introduction:

A technique of writing numbers called scientific notation uses products made up of a number between 1 and 10 multiplied by the appropriate power of 10.

Answer to Problem 90A

  $9.37\times {10}^{-3}\text{ m}$

Explanation of Solution

Given number: $9.37\text{ mm}$

Conversion factor from pm to m is as follows:

  $1\text{ mm}=1\times {10}^{-3}\text{ m}$

Convert number as shown:

  $\begin{array}{c}9.37\text{ mm}=9.37\bcancel{\text{mm}}\times \frac{1\times {10}^{-3}\text{ m}}{1\bcancel{\text{mm}}}\\ =9.37\times {10}^{-3}\text{ m}\end{array}$