Chapter 1, Problem 28QAP

To determine

(A)

The number $4.42\times \text{1}{0}^{-3}$ in decimal notation.

Answer to Problem 28QAP

The number $4.42\times \text{1}{0}^{-3}$ in decimal notation is $0.00442$

Explanation of Solution

Given data:

The given number is $4.42\times \text{1}{0}^{-3}$

Formula used:

For decimal notation,

  $z= \frac{m}{\text{1}{0}^n}$

Calculation:

Decimal notation,

  $\begin{array}{l}z= \frac{4.42}{\text{1}{0}^3}\\ z=0.00442\end{array}$

Conclusion:

Thus, number $4.42\times \text{1}{0}^{-3}$ in decimal notation is $0.00442$.

To determine

(B)

The number $7.09\times \text{1}{0}^{-6}$ in decimal notation.

Answer to Problem 28QAP

The number $7.09\times \text{1}{0}^{-6}$ in decimal notation is $0.00000709$.

Explanation of Solution

Given data:

The given number is $7.09\times \text{1}{0}^{-6}$.

Formula used:

For decimal notation,

  $z= \frac{m}{\text{1}{0}^n}$

Calculation:

Decimal notation,

  $\begin{array}{l}z= \frac{7.09}{\text{1}{0}^6}\\ z=0.00000709\end{array}$

Conclusion:

Thus, number $7.09\times \text{1}{0}^{-6}$ in decimal notation is $0.00000709$.

To determine

(C)

The number $8.28\times \text{1}{0}^2$ in decimal notation.

Answer to Problem 28QAP

The number $8.28\times \text{1}{0}^2$ in decimal notation is $828.0$

Explanation of Solution

Given data:

The given number is $8.28\times \text{1}{0}^2$.

Formula used:

For decimal notation,

  $z= m\times \text{1}{0}^n$

Calculation:

Decimal notation,

  $\begin{array}{l}z= 8.28\times \text{1}{0}^2\\ z=828.0\end{array}$

Conclusion:

Thus, number $8.28\times \text{1}{0}^2$ in decimal notation is $828.0$

To determine

(D)

The number $6.02\times \text{1}{0}^6$ in decimal notation.

Answer to Problem 28QAP

The number $6.02\times \text{1}{0}^6$ in decimal notation is $6020000.0$

Explanation of Solution

Given data:

The given number is $6.02\times \text{1}{0}^6$.

Formula used:

For decimal notation,

  $z= m\times \text{1}{0}^n$

Calculation:

Decimal notation,

  $\begin{array}{l}z= 6.02\times \text{1}{0}^6\\ z=6020000\end{array}$

Conclusion:

Thus, number $6.02\times \text{1}{0}^6$ in decimal notation is $6020000.0$

To determine

(E)

The number $456\times \text{1}{0}^3$ in decimal notation.

Answer to Problem 28QAP

The number $456\times \text{1}{0}^3$ in decimal notation is $456000.0$

Explanation of Solution

Given data:

The given number is $456\times \text{1}{0}^3$

Formula used:

For decimal notation,

  $z= m\times \text{1}{0}^n$

Calculation:

Decimal notation,

  $\begin{array}{l}z= 456\times \text{1}{0}^3\\ z=456000.0\end{array}$

Conclusion:

Thus, number $456\times \text{1}{0}^3$ in decimal notation is $456000.0$

To determine

(F)

The number $22.4\times \text{1}{0}^{-3}$ in decimal notation.

Answer to Problem 28QAP

The number $22.4\times \text{1}{0}^{-3}$ in decimal notation is $0.0224$

Explanation of Solution

Given data:

The given number is $22.4\times \text{1}{0}^{-3}$

Formula used:

For decimal notation,

  $z= \frac{m}{\text{1}{0}^n}$

Calculation:

Decimal notation,

  $\begin{array}{l}z= \frac{22.4}{\text{1}{0}^3}\\ z=0.0224\end{array}$

Conclusion:

Thus, number $22.4\times \text{1}{0}^{-3}$ in decimal notation is $0.0224$

To determine

(G)

The number $0.375\times \text{1}{0}^{-4}$ in decimal notation.

Answer to Problem 28QAP

The number $0.375\times \text{1}{0}^{-4}$ in decimal notation is $0.0000375$

Explanation of Solution

Given data:

The given number is $0.375\times \text{1}{0}^{-4}$

Formula used:

For decimal notation,

  $z= \frac{m}{\text{1}{0}^n}$

Calculation:

Decimal notation,

  $\begin{array}{l}z= \frac{0.375}{\text{1}{0}^4}\\ z=0.0000375\end{array}$

Conclusion:

Thus, number $0.375\times \text{1}{0}^{-4}$ in decimal notation is $0.0000375$

To determine

(H)

The number $138\times \text{1}{0}^{-6}$ in decimal notation.

Answer to Problem 28QAP

The number $138\times \text{1}{0}^{-6}$ in decimal notation is $0.000138$

Explanation of Solution

Given data:

The given number is $138\times \text{1}{0}^{-6}$

Formula used:

For decimal notation,

  $z= \frac{m}{\text{1}{0}^n}$

Calculation:

Decimal notation,

  $\begin{array}{l}z= \frac{138}{\text{1}{0}^6}\\ z=0.000138\end{array}$

Conclusion:

Thus, number $138\times \text{1}{0}^{-6}$ in decimal notation is $0.000138$.