Question

The density of iron is 14.0 g/cm³. A worker in a science lab calculates the density of iron as 4.5

g/cm³. What is the percent error of the worker's measurement?

Answer 1

Percent Error = 67.86%

Step-by-step explanation:

The percent error can be calculated using the following equation:

| measured value - true value |
Percent Error = ------------------------------------------------- x 100%
true value

In this equation,

---> The "measured value" is the value found after performing an experiment.

---> The "true value" is the value you expect to find after performing an experiment.

In this case,

---> measured value = 4.5 g/cm³

---> true value = 14.0 g/cm³

| 4.5 g/cm³ - 14.0 g/cm³ |
Percent Error = ---------------------------------------- x 100% <----- Insert values
14.0 g/cm³

| -9.5 g/cm³ |
Percent Error = ------------------------ x 100% <----- Subtract
14.0 g/cm³

9.5 g/cm³
Percent Error = ------------------------ x 100% <----- Take absolute value
14.0 g/cm³

Percent Error = 0.6786 x 100% <----- Divide

Percent Error = 67.86% <----- Multiply