The Importance of Accuracy
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Questions and Answers

What is the percent error when a measurement is 20% bigger than the actual value?

20%

What is the percent error when a measurement is smaller than the true value?

Negative

In the given example, what is the percent error when the acceleration of the falling ball is measured to be 8.7 m/s² and the true value is 9.8 m/s²?

11.22%

Why should the absolute value of the quantity in the numerator be used when calculating percent error?

<p>To ensure that the percent error is always positive</p> Signup and view all the answers

Regardless of whether the measurement is bigger or smaller than the true value, what sign should the percent error always be?

<p>Positive</p> Signup and view all the answers

What is the definition of accuracy?

<p>Accuracy is defined as how close a measurement is to the true or accepted value.</p> Signup and view all the answers

Why is accuracy important in buying the right size rug?

<p>Accuracy is important in buying the right size rug because inaccurate measurements can lead to wasted time and money.</p> Signup and view all the answers

What is percent error?

<p>Percent error is a ratio of the difference between the true value of a measurement and the measured value, multiplied by 100.</p> Signup and view all the answers

How is percent error calculated?

<p>Percent error is calculated by taking the absolute value of the difference between the measured value and the true value, dividing it by the true value, and then multiplying by 100.</p> Signup and view all the answers

What was the percent error in the measurement of the room's width?

<p>The percent error in the measurement of the room's width was calculated as follows: $|\frac{9-7.5}{7.5}| \times 100$.</p> Signup and view all the answers

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