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Importance of Accuracy in Measurement

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Questions and Answers

Why is accuracy important in making measurements?

To ensure that you can buy the right size rug

To make calculations easier in construction and science

To make exact measurements that are never wrong

To save time and money by avoiding mistakes (correct)

What is the definition of accuracy?

The ratio of the difference between the true value and the measured value

How far a measurement is from the true value

How close a measurement is to the true or accepted value (correct)

How close a measurement is to the expected value

What is the purpose of calculating percent error?

To determine the exact value of a measurement

To determine the true value of a measurement

To know exactly how accurate your measurements are (correct)

To compare the accuracy of different measurements

What does the word 'error' mean in the context of measurements?

A mistake or deviation from what is expected Signup and view all the answers

What is the formula for calculating percent error?

|(true value - measured value)| / true value Signup and view all the answers

Why are the absolute value symbols used in the formula for calculating percent error?

To ensure that the result is always positive Signup and view all the answers

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

20% Signup and view all the answers

What was the actual width of the room?

7.5 ft Signup and view all the answers

Why did the new rug not fit in the room?

The rug was too big Signup and view all the answers

What is the importance of accuracy in fields like construction, science, and engineering?

It ensures that the final product is safe and functional Signup and view all the answers

Study Notes

Importance of Accuracy

Accuracy is crucial in various fields, including construction, science, and engineering, to avoid wasting time and resources.
Inaccurate measurements can lead to undesirable outcomes, such as buying a rug that does not fit a room.

Definition of Accuracy

Accuracy refers to how close a measurement is to the true or accepted value.

Calculating Percent Error

Percent error is a ratio of the difference between the true value and the measured value, multiplied by 100.
Formula: |(measured value - true value)| / true value × 100
The numerator is enclosed by absolute value symbols to ensure a positive value.

Examples of Percent Error

Example 1: Measuring a room's width (measured: 9 ft, true value: 7.5 ft) = 20% error
Example 2: Measuring acceleration due to gravity (measured: 8.7 m/s², true value: 9.8 m/s²) = positive percent error (using absolute value)

Key Points

Percent error is always positive, regardless of whether the measurement is larger or smaller than the true value.
The absolute value symbol ensures a positive numerator in the percent error formula.

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Description

Learn why accuracy is crucial in measurement through a relatable anecdote about buying a new rug. See how inaccurate measurements can lead to unwanted consequences.