State​ (a) the​ precision, (b) the​ accuracy, and​ (c) the greatest possible error of the following measurement number.
3.045 lb
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Part 1
​(a) The measurement is precise to the nearest
thousandth of a
lb.
Part 2
​(b) The measurement is accurate to

enter your response here significant​ digit(s).
​(Type a whole​ number.)

To address the question, let's break it down into three parts:

### (a) Precision:
The precision of a measurement refers to the smallest unit to which it is measured. In the number **3.045 lb**, the last digit (5) is in the **thousandths place** (0.001 lb). So, the measurement is precise to the nearest **thousandth of a pound (0.001 lb)**.

### (b) Accuracy:
The accuracy refers to the number of significant digits in the measurement. In **3.045 lb**, there are **four significant digits** (the digits 3, 0, 4, and 5).

### (c) Greatest Possible Error (GPE):
The greatest possible error for a measurement is half of the smallest unit (precision). Since the measurement is precise to the nearest thousandth (0.001 lb), the greatest possible error is:

\[
\text{Greatest Possible Error} = \frac{1}{2} \times 0.001 = 0.0005 \text{ lb}
\]

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### Summary:
- **(a)** Precision: nearest **thousandth of a pound (0.001 lb)**
- **(b)** Accuracy: **4 significant digits**
- **(c)** Greatest possible error: **0.0005 lb**

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Would you like more details on any of these concepts or clarifications?

Here are five related questions:
1. How do we determine the number of significant digits in a measurement?
2. What is the difference between precision and accuracy?
3. Why is greatest possible error calculated as half of the smallest unit?
4. Can the greatest possible error vary for different types of measurements?
5. How would you round a number based on the given precision?

**Tip**: When measuring, precision refers to how finely a measurement is taken, while accuracy indicates how close a measurement is to the true value.

State​ (a) the​ precision, (b) the​ accuracy, and​ (c) the greatest possible error of the following measurement number. 3.045 lb

Understand the precision, accuracy, and greatest possible error of a 3.045 lb measurement. This problem explores how to determine the precision (nearest thousandth), accuracy (4 significant digits), and calculate the greatest possible error (0.0005 lb). Suitable for students in Grades 6-8.

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