Chapter 2, Problem 12PE

(a)

Interpretation Introduction

Interpretation:

The number $\text{0}\text{.0456}$ has to be written in exponential notation.

Concept Introduction:

Exponential notation:  Exponential notation is method of writing number as the product of a number between 1 and 10 multiplied by 10 raised to some power.

Rules for writing number in exponential notation:

1. 1) The decimal point is moved in the original number so that is located after the first nonzero digit.
2. 2) The new number is multiplied by 10 raised to the proper exponent (power).  The power is equal to the number of places that the decimal point was shifted.
3. 3) The sign on the exponent indicated the direction the decimal was moved.
   • If the decimal point is moved right, the exponent is negative.
   • If the decimal point is moved left, the exponent is positive.

(b)

Interpretation Introduction

Interpretation:

The number $\text{4082}\text{.2}$ has to be written in exponential notation.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

The number $\text{40}\text{.30}$ has to be written in exponential notation.

Concept Introduction:

Refer to part (a).

(d)

Interpretation Introduction

Interpretation:

The number $\text{12,000,000}$ has to be written in exponential notation.

Concept Introduction:

Refer to part (a).