Chapter 1, Problem 33A

(a)

To determine

The name of given multiple of the meter.

Explanation of Solution

Given: $\frac{1}{100}\text{m}$

Formula used:

  $100\text{cm}\text{=1}\text{m}$

Calculations:

  $\begin{array}{l}100\text{cm}\text{=1}\text{m}\\ \text{1 cm =}\frac{1}{100}\text{m}\end{array}$

Conclusion:

Thus, fraction $\frac{1}{100}$ before meters can be replaced by prefix − centi.

(b)

To determine

The name of given multiple of the meter.

Explanation of Solution

Given: $\frac{1}{1000}\text{m}$

Formula used:

  $1000\text{mm}\text{=1}\text{m}$

Calculations:

  $\begin{array}{l}1000\text{mm}\text{=1}\text{m}\\ \text{1 mm =}\frac{1}{1000}\text{m}\end{array}$

Conclusion:

Thus, fraction $\frac{1}{1000}$ before meters can be replaced by prefix − milli.

(c)

To determine

The name of given multiple of the meter.

Explanation of Solution

Given: $1000\text{m}$

Formula used:

  $\frac{\text{1}}{1000}\text{km}\text{=}1\text{m}$

Calculations:

  $\begin{array}{l}\frac{\text{1}}{1000}\text{km}\text{=}1\text{m}\\ \text{1 km =}1000\text{m}\end{array}$

Conclusion:

Thus, 1000 before meters can be replaced by prefix − kilo.