Chapter 7.10, Problem 16WE

(A)

To determine

To evaluate:

The value of scientific notation of the given number

Answer to Problem 16WE

The value of scientific notation is $123\times {10}^{-4}$

Explanation of Solution

Given:

The number is

  $0.0123$

Concept used:

The scientific notation is $a\times {10}^b$

Where $a$ is a number or decimal number such that the absolute value of $a$ is greater than or equal to one and less then $10$

Or

  $1\le \left|a\right|<10$

And $b$ is the power of $10$

Calculation:

The number is

  $\begin{array}{l}=0.0123\\ =123\times {10}^{-4}\end{array}$

Therefore,

The scientific notation is $123\times {10}^{-4}$

(B)

To determine

To evaluate:

The value of expanded notation of the given number

Answer to Problem 16WE

The value of expanded notation is $1.23\times {10}^{-3}$

Explanation of Solution

Given:

The number is

  $0.0123$

Concept used:

The scientific notation is $a\times {10}^b$

Where $a$ is a number or decimal number such that the absolute value of $a$ is greater than or equal to one and less then $10$

Or

  $1\le \left|a\right|<10$

And $b$ is the power of $10$

Calculation:

The number is

  $\begin{array}{l}=0.0123\\ =1.23\times {10}^{-3}\end{array}$

Therefore,

The expanded notation is $1.23\times {10}^{-3}$