Chapter 3.2, Problem 28LC

Interpretation Introduction

Interpretation : The given units are to be arranged from largest to smallest.

Concept Introduction : The SI unit is the International System of Units used to address the metric system globally accepted standard measurements.

Answer to Problem 28LC

The order of units from largest to smallest: ${\text{m}}^3$ , $\text{L}$ , $\text{dL}$ , $\text{cL}$ , $\text{mL}$ and $\text{μL}$ .

Explanation of Solution

An equivalent measurement ratio is referred to as a conversion factor.

All the given units are units of volume.

To find the order of the units, relate the units to liter.

The units such as cubic meter, milliliter, centiliter, and microliter are expressed in liter as follows:

  $\begin{array}{l}\text{1}{\text{m}}^3\text{=}{\text{10}}^3\text{L}\\ \text{1}\text{mL}\text{=}{10}^{-3}\text{L}\\ \text{1cL}={10}^{-2}\text{L}\\ \text{1μL}\text{=}{\text{10}}^{-6}\text{L}\end{array}$

Similarly, for the units such as deciliter and liter are expressed as

  $\begin{array}{l}1\text{dL}\text{=}{\text{10}}^{-1}\text{L}\\ \text{1}\text{L}\text{=}\text{1}\text{L}\end{array}$

From the expressions, the order of the units was found.

The order of units from largest to smallest: ${\text{m}}^3$ , $\text{L}$ , $\text{dL}$ , $\text{cL}$ , $\text{mL}$ and $\text{μL}$ .