Chapter 1.6, Problem 1.17P

(a)

Interpretation Introduction

Interpretation:

The value $\text{93,200}$ has to be converted into scientific notation.

Concept Introduction:

Scientific notation:

• In scientific notation, a number is represented as ${\text{y×10}}^{\text{x}}.$
• The term $\text{y,}$ is known as the coefficient, is a number ranging between $\text{1}$ and $\text{10}\text{.}$
• The term x is called as exponent that can be any positive or negative whole number.

Conversion of a Standard number to Scientific Notation:

Step 1:  The decimal point is moved to a give a number between $\text{1}$ and $\text{10}\text{.}$

Step 2:  The result is multiplied by ${\text{10}}^{\text{x}}\text{,}$ where x is the number of places the decimal point was moved.

The value of x will be positive, if the decimal point is moved to the left.

The value of y will be negative, if the decimal point is moved to the right.

(b)

Interpretation Introduction

Interpretation:

The value $\text{0}\text{.000}\text{725}$ has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

The value $6,780,000$ has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).

(d)

Interpretation Introduction

Interpretation:

The value $\text{0}\text{.000}\text{030}$ has to be converted into scientific notation.

Concept Introduction:

Refer to part (a).