Chapter 1, Problem 1.55QE

(a)

Interpretation Introduction

Interpretation:

The indicated calculation has to be performed and the answer has to be expressed to the correct number of significant figures.

  $\text{13}\text{.51}\text{+}\text{0}\text{.0459}$

Concept Introduction:

Rules for significant figure:

• All nonzero digits are significant.  Example:  123.4 in which four significant figures are there.
• Zeros between nonzero digits are significant.  Example: 105 in which digit zero is a significant figure.  Therefore, three significant figures.
• In a number with no decimal point, zeros at the end of the number (“trailing zeros”) are not necessarily significant.  Example:  602,000 in which there are only three significant figures.
• If a number contains a decimal point, zeros at the beginning (“leading zeros”) are not significant, but zeros at the end of the number are significant.  Example:  0.0044 in which number of significant figure is two.

In multiplication and division, the result has the same number of significant figures as the multiplier or divisor with fewest number of significant figures.

In addition, and subtraction, the result is expressed to the smallest number of decimal places of the numbers involved.

(b)

Interpretation Introduction

Interpretation:

The indicated calculation has to be performed and the answer has to be expressed to the correct number of significant figures.

  $\text{16}\text{.45/32}\text{.0}\text{+}\text{10}$

Concept Introduction:

Refer sub part-a.

(c)

Interpretation Introduction

Interpretation:

The indicated calculation has to be performed and the answer has to be expressed to the correct number of significant figures.

  $\text{3}\text{.14}\text{×}{\text{10}}^{\text{4}}\text{-}\text{15}\text{.0}$

Concept Introduction:

Refer sub part-a.

(d)

Interpretation Introduction

Interpretation:

The indicated calculation has to be performed and the answer has to be expressed to the correct number of significant figures.

  $\text{7}\text{.18}\text{×}{\text{10}}^{\text{3}}\text{÷}\text{1}\text{.51}\text{×}{\text{10}}^{\text{5}}$

Concept Introduction:

Refer sub part-a.