Chapter 5, Problem 13A

Interpretation Introduction

Interpretation: The following sentence needs to be completed.

The length of $52.2\text{mm}$ also can be expressed as____ cm.

Concept Introduction: Choose a conversion factor to convert from mm to cm, which cancels the units and omits the units in the result. Conversion factors are the ratios of two parts of the unity report which compares two units. In case of conversion of mm to cm the conversion factor is $\frac{0.1\text{cm}}{1\text{mm}}$ .

Answer to Problem 13A

The length of $52.2\text{mm}$ also can be expressed as $5.22$ cm.

Explanation of Solution

The conversion of $52.2\text{mm}$ into cm is as follows:

  $\begin{array}{c}1\text{mm}=0.1\text{cm}\\ \text{52}\text{.2}\text{mm}=\text{52}\text{.2}\text{mm}\times \frac{0.1\text{cm}}{1\text{mm}}\\ =5.22\text{cm}\end{array}$

Hence, the converted value of $52.2\text{mm}$ in cm is $5.22\text{cm}$ .

Conclusion

The length of $52.2\text{mm}$ also can be expressed as $5.22$ cm.