Chapter 3, Problem 101A

Interpretation Introduction

(a)

Interpretation:

The given operation needs to be performed.

${10}^7\times {10}^3$

Concept introduction:

Operations are performed by adding the values on powers and multiplying the rest values as given.

Answer to Problem 101A

The value of the operation performed comes to be ${10}^{10}$.

Explanation of Solution

$\begin{array}{l}{10}^7\times {10}^3\\ ={10}^{7+3}\\ ={10}^{10}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The given operation needs to be performed.

$(1.4\times {10}^{-3})\times (5.1\times {10}^{-5})$

Concept introduction:

Operations are performed by adding the values on powers and multiplying the rest values as given.

Answer to Problem 101A

The value of the operation performed comes to be $7.14\times {10}^{-8}$.

Explanation of Solution

$\begin{array}{l}(1.4\times {10}^{-3})\times (5.1\times {10}^{-5})\\ =1.4\times 5.1\times {10}^{-3-5}\\ =7.14\times {10}^{-8}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The given operation needs to be performed.

$(2\times {10}^{-3})\times (4\times {10}^5)$

Concept introduction:

Operations are performed by adding the values on powers and multiplying the rest values as given.

Answer to Problem 101A

The value of the operation performed comes to be $8\times {10}^2$.

Explanation of Solution

$\begin{array}{l}(2\times {10}^{-3})\times (4\times {10}^5)\\ =2\times 4\times {10}^{-3+5}\\ =8\times {10}^2\end{array}$