Chapter 5, Problem 19A

Interpretation Introduction

Interpretation: The 10 cm high stack of dimes value in dollars needs to be explained.

Concept Introduction: Conversion factors are the ratios of two parts of the unity report which compares two units. In case of conversion of cm to mm the conversion factor is $\frac{10\text{mm}}{1\text{cm}}$ . In conversion of mm to dime the conversion factor is $\frac{1\text{dime}}{1\text{mm}}$ .

Answer to Problem 19A

  $\text{1}0\text{ cm high stack of dimes}$ value in dollar is $10\$$ .

Explanation of Solution

The following conversion factor is used to convert 10 cm high stack of dimes into dollar as follows:

Conversion factor for cm to mm is $\frac{10\text{mm}}{1\text{cm}}$ .

Conversion factor for mm to dime is $\frac{1\text{dime}}{1\text{mm}}$ .

Conversion factor for dime to dollar is $\frac{1\$}{10\text{dime}}$ .

Hence,

  $\begin{array}{c}\text{1}0\text{ cm high stack of dimes}=\left(10\text{cm}\times \frac{10\text{mm}}{1\text{cm}}\times \frac{1\text{dime}}{1\text{mm}}\times \frac{1\$}{10\text{dime}}\right)\\ =10\$\end{array}$

Therefore, $\text{1}0\text{ cm high stack of dimes}$ value in dollar is $10\$$ .

Conclusion

  $\text{1}0\text{ cm high stack of dimes}$ value in dollar is $10\$$ .