Chapter 1, Problem 1.62P

(a)

Interpretation Introduction

Interpretation:

The number $5.55\times {10}^3$ is to be written in standard notation.

Concept introduction:

Standard notations are used to express the given large or small quantities by just writing them as such without making use of exponents.

The general representation of standard notation is $N$.

Here, $N$ is the number between 1 and 9.

To change the scientific notation to the standard notation, the decimal point is shifted towards the right if the exponent value is positive and to the left, if the exponent value is negative. The decimal point is to be moved the same number of times as indicated by the exponent.

(b)

Interpretation Introduction

Interpretation:

The number $1.0070\times {10}^4$ is to be written in standard notation.

Concept introduction:

Standard notations are used to express the given large or small quantities by just writing them as such without making use of exponents.

The general representation of standard notation is $N$.

Here, $N$ is the number between 1 and 9.

To change the scientific notation to the standard notation, the decimal point is shifted towards the right if the exponent value is positive and to the left, if the exponent value is negative. The decimal point is to be moved the same number of times as indicated by the exponent.

(c)

Interpretation Introduction

Interpretation:

The number $8.85\times {10}^{-7}$ is to be written in standard notation.

Concept introduction:

Standard notations are used to express the given large or small quantities by just writing them as such without making use of exponents.

The general representation of standard notation is $N$.

Here, $N$ is the number between 1 and 9.

To change the scientific notation to the standard notation, the decimal point is shifted towards the right if the exponent value is positive and to the left, if the exponent value is negative. The decimal point is to be moved the same number of times as indicated by the exponent.

(d)

Interpretation Introduction

Interpretation:

The number $3.004\times {10}^{-3}$ is to be written in standard notation.

Concept introduction:

Standard notations are used to express the given large or small quantities by just writing them as such without making use of exponents.

The general representation of standard notation is $N$.

Here, $N$ is the number between 1 and 9.

To change the scientific notation to the standard notation, the decimal point is shifted towards the right if the exponent value is positive and to the left, if the exponent value is negative. The decimal point is to be moved the same number of times as indicated by the exponent.