Chapter 3, Problem 100A

Interpretation Introduction

(a)

Interpretation:

The given number needs to be written in scientific notations.

Concept introduction:

Scientific notations are the standard way of writing large numbers and very small numbers in a way so that they are easy to compare.

Answer to Problem 100A

$3.55\times {10}^4$

Explanation of Solution

The Scientific notation system is used by moving the decimal place between the numbers one to ten. After giving the decimal to the number, power to ten tells that how many places we moved the decimal.

The scientific notation of

$\begin{array}{l}35500\\ =3.55\times {10}^4\end{array}$

(b)

Interpretation Introduction

Interpretation:

The given number needs to be written in scientific notations.

Concept introduction:

Scientific notations are the standard way of writing large numbers and very small numbers in a way so that they are easy to compare.

Answer to Problem 100A

$2.665\times {10}^3$

Explanation of Solution

The Scientific notation system is used by moving the decimal place between the numbers one to ten. After giving the decimal to the number, power to ten tells that how many places we moved the decimal.

The scientific notation of

$\begin{array}{l}2665\\ =2.665\times {10}^3\end{array}$

(c)

Interpretation Introduction

Interpretation:

The given number needs to be written in scientific notations.

Concept introduction:

Scientific notations are the standard way of writing large numbers and very small numbers in a way so that they are easy to compare.

Answer to Problem 100A

$9.640X{10}^{-1}$

Explanation of Solution

The Scientific notation system is used by moving the decimal place between the numbers one to ten. After giving the decimal to the number, power to ten tells that how many places we moved the decimal.

The scientific notation of

$\begin{array}{l}0.9640\\ =9.640X{10}^{-1}\end{array}$

(d)

Interpretation Introduction

Interpretation:

The given number needs to be written in scientific notations.

Concept introduction:

Scientific notations are the standard way of writing large numbers and very small numbers in a way so that they are easy to compare.

Answer to Problem 100A

$7.89\times {10}^2$

Explanation of Solution

The Scientific notation system is used by moving the decimal place between the numbers one to ten. After giving the decimal to the number, power to ten tells that how many places we moved the decimal.

The scientific notation of

$\begin{array}{l}789\\ =7.89\times {10}^2\end{array}$

(e)

Interpretation Introduction

Interpretation:

The given number needs to be written in scientific notations.

Concept introduction:

Scientific notations are the standard way of writing large numbers and very small numbers in a way so that they are easy to compare.

Answer to Problem 100A

$7.56\times {10}^4$

Explanation of Solution

The Scientific notation system is used by moving the decimal place between the numbers one to ten. After giving the decimal to the number, power to ten tells that how many places we moved the decimal.

The scientific notation of

$\begin{array}{l}75,600\\ =7.56\times {10}^4\end{array}$