Chapter 1, Problem 1.30P

(a)

Interpretation Introduction

Interpretation:

Number of significant figures in $578$ has to be determined.

Concept Introduction:

Precision of the quantities that are measured use the significant figures to express the result.  There are six rules for determining the number of significant figures.  They are given as follows.

• Nonzero digits and the zeros that are present between nonzero digits are significant.
• Zeros that are used merely to position the decimal are not significant.
• If zeros are present in the right end of the decimal point, then the zeros are significant.
• If zeros are present in the result are not in right of the decimal point, then the zeros may or may not be significant.
• If the zeros disappear when scientific notation is used means then those zeros are not significant.
• Exact numbers have no limit to their precision and they do not obey the rules given for significant figures.

(b)

Interpretation Introduction

Interpretation:

Number of significant figures in $0.000578$ has to be determined.

Concept Introduction:

Refer part (a).

(c)

Interpretation Introduction

Interpretation:

Number of significant figures in “There are $\text{1000}\text{m}$ in $\text{1}\text{km}$” has to be determined.

Concept Introduction:

Refer part (a).

(d)

Interpretation Introduction

Interpretation:

Number of significant figures in $\pi \approx 3.14159265$ has to be determined.

Concept Introduction:

Refer part (a).

(e)

Interpretation Introduction

Interpretation:

Number of significant figures in $\text{93000000}\text{miles}$ has to be determined.

Concept Introduction:

Refer part (a).