Question

The theoretical value for the density of steel is 7.79 g/cm3. If Teresa measured the density of a steel ball to be 8.05 g/cm3, what was her experimental error?

Answer 1

3.34%

Explanation:

We want to figure out the percent error. This is calculated by the formula:

(measured value - actual value) ÷ (actual value)

In this case, the measured value is 8.05 g/cm³, while the actual value (also known as the theoretical value) is 7.79 g/cm³. So plug these in:

(measured value - actual value) ÷ (actual value)

(8.05 - 7.79) ÷ (7.79) = 0.26 / 7.79 ≈ 0.0334 = 3.34%

The experimental error was 3.34%.

Answer 2

Explanation:

Step 1: Find the difference between the numbers

Teresa's Value - Theoretical Value

8.05 - 7.79

0.26 is the difference

Step 2: Find the experimental error

`(difference)/(theoretical\ value)`

`(0.26)/(7.79)`

`\approx0.0334`

`\approx3.34 \%`

Answer: The experimental error was approximately 3.34%