Chapter 3.3, Problem 50LC

Interpretation Introduction

Interpretation : The numerical value of a measurement that is multiplied by the conversion factor and the actual size of the quantity is to be reviewed.

Concept Introduction : An equivalent measurement ratio is referred to as a conversion factor. Conversion factors help solve problems where one unit of measurement needs to be expressed in another.

Answer to Problem 50LC

The numerical value of a measurement is changed when multiplied by a conversion factor.

The actual size of the quantity remains unchanged.

Explanation of Solution

The conversion factor is the ratio of the equivalent measurement.

Conversion factors are defined as precise quantities inside a system of measurement.

Conversion factors help solve problems where one unit of measurement needs to be expressed in another.

In general, a measurement's numerical value changes when it is multiplied by a conversion factor, while the measured quantity size stays the same.

The numerical value of the measurement is changed due to the conversion factor but the size of the measurement remains the same.

For instance, Convert $25\text{g}$ into $\text{kg}$ .

In $\text{kg}$ , the value is $\text{0}\text{.025}\text{kg}$ .

In the above case, the numerical value is changed but the size of $25\text{g}$ and $\text{0}\text{.025}\text{kg}$ is the same.

So, only the numerical value changes while the quantity size remains the same.