Chapter 1.6, Problem 1.18P

(a)

Interpretation Introduction

Interpretation:

The value $\text{6}{\text{.5×10}}^{\text{3}}$ has to be converted into standard form.

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 scientific notation to standard form:

The exponent in ${\text{10}}^{\text{x}}$ tells the number of places to move the decimal point in the coefficient to generate a standard number.

When the exponent x is positive, the decimal point x is moved towards right.

When the exponent x is negative, the decimal point x is moved towards left.

(b)

Interpretation Introduction

Interpretation:

The value $\text{3}{\text{.26×10}}^{\text{-5}}$ has to be converted into standard form.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

The value $\text{3}{\text{.780×10}}^{\text{-2}}$ has to be converted into standard form.

Concept Introduction:

Refer to part (a).

(d)

Interpretation Introduction

Interpretation:

The value $\text{1}{\text{.04×10}}^{\text{8}}$ has to be converted into standard form.

Concept Introduction:

Refer to part (a).