Chapter SH, Problem 7.5MPS

(a)

To determine

The whale’s weight in standard form.

Answer to Problem 7.5MPS

  $\text{420000 pounds}$

Explanation of Solution

Given:

Whale = $4.2\times {10}^5\text{ pounds}$

Bat = $0.0044\text{ pounds}$

Calculation:

The whale’s weight in standard form will be:

  $\begin{array}{l}=4.2\times {10}^5\text{ pounds}\\ =\frac{42}{10}\times {10}^5\text{ pounds}\\ \text{= 420000 pounds}\end{array}$

(b)

To determine

The bat’s weight in scientific notation.

Answer to Problem 7.5MPS

  $44\times {10}^{-4}\text{ pounds}$

Explanation of Solution

Given:

Whale = $4.2\times {10}^5\text{ pounds}$

Bat =

  $0.0044\text{ pounds}$

Calculation:

The bat’s weight in scientific notation will be:

  $\begin{array}{l}=0.0044\text{ pounds}\\ =\frac{44}{{10}^4}\text{ pounds}\\ =44\times {10}^{-4}\text{ pounds}\end{array}$

(c)

To determine

The order of magnitude as big is a blue whale as a bat.

Answer to Problem 7.5MPS

  $9.5\times {10}^8\text{ pounds}$

Explanation of Solution

Given:

Whale = $4.2\times {10}^5\text{ pounds}$

Bat = $0.0044\text{ pounds}$

Calculation:

The order of magnitude as big is a blue whale as a bat will be:

  $\begin{array}{l}=\frac{4.2\times {10}^5\text{ pounds}}{0.0044\text{ pounds}}\\ =\frac{42\times {10}^5}{44\times {10}^{-4}}\text{pounds}\\ =\frac{21}{22}\times {10}^{5+4}\text{ pounds}\\ =0.95\times {10}^9\text{ pounds}\\ \text{= }9.5\times {10}^8\text{ pounds}\end{array}$