Chapter 2, Problem 2.87EP

(a)

Interpretation Introduction

Interpretation:

The number of significant figures that the answer must have for the conversion of $\text{4}\text{.3}\text{ft}$ to inches has to be given.

Concept Introduction:

A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis.  The units are treated the way the numbers are treated in this method.  Three steps has to be followed for the Dimensional analysis and they are,

• The known or given quantity has to be identified that includes both numerical and units.  The unit of the new quantity that has to be determined.
• Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
• The mathematical operation has to be performed as indicated by the conversion factor setup.

If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement.  If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.

(b)

Interpretation Introduction

Interpretation:

The number of significant figures that the answer must have for the conversion of $\text{3}\text{.09}\text{ft}$ to inches has to be given.

Concept Introduction:

A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis.  The units are treated the way the numbers are treated in this method.  Three steps has to be followed for the Dimensional analysis and they are,

• The known or given quantity has to be identified that includes both numerical and units.  The unit of the new quantity that has to be determined.
• Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
• The mathematical operation has to be performed as indicated by the conversion factor setup.

If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement.  If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.

(c)

Interpretation Introduction

Interpretation:

The number of significant figures that the answer must have for the conversion of $\text{0}\text{.33030}\text{ft}$ to inches has to be given.

Concept Introduction:

A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis.  The units are treated the way the numbers are treated in this method.  Three steps has to be followed for the Dimensional analysis and they are,

• The known or given quantity has to be identified that includes both numerical and units.  The unit of the new quantity that has to be determined.
• Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
• The mathematical operation has to be performed as indicated by the conversion factor setup.

If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement.  If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.

(d)

Interpretation Introduction

Interpretation:

The number of significant figures that the answer must have for the conversion of $\text{5}\text{.12310}\text{ft}$ to inches has to be given.

Concept Introduction:

A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis.  The units are treated the way the numbers are treated in this method.  Three steps has to be followed for the Dimensional analysis and they are,

• The known or given quantity has to be identified that includes both numerical and units.  The unit of the new quantity that has to be determined.
• Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
• The mathematical operation has to be performed as indicated by the conversion factor setup.

If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement.  If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.