State​ (a) the​ precision, (b) the​ accuracy, and​ (c) the greatest possible error of the following measurement number.
5.3 gal
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Part 1
​(a) The measurement is precise to the nearest 
tenth of a
 gal.
Part 2
​(b) The measurement is accurate to 
  
enter your response here significant​ digit(s).
​(Type a whole​ number.)

Let's break down the three parts:

**(a) Precision:**
Precision refers to how finely a measurement is made. In this case, the measurement is given as **5.3 gal**. The number has one decimal place, so the measurement is precise to the **nearest tenth of a gallon**.

**(b) Accuracy:**
Accuracy refers to the number of significant digits in the measurement. The measurement **5.3 gal** has **2 significant digits** (both the "5" and the "3" count as significant).

**(c) Greatest possible error (GPE):**
The greatest possible error is half of the smallest unit of measurement. Since the precision is to the nearest tenth, the greatest possible error is:

\[
\text{GPE} = \frac{1}{2} \times 0.1 = 0.05 \, \text{gal}
\]

### Summary:
- **(a)** The measurement is precise to the nearest **tenth of a gallon**.
- **(b)** The measurement is accurate to **2 significant digits**.
- **(c)** The greatest possible error is **0.05 gal**.

Do you need further clarification or more details? Here are five questions you might find helpful:

1. How do you determine the number of significant digits in a measurement?
2. Why is the greatest possible error important in measurements?
3. What is the difference between precision and accuracy?
4. How does rounding affect precision in measurements?
5. Can a measurement be precise but not accurate?

**Tip:** Precision is about how small a unit you measure in, while accuracy is about how close your measurement is to the true value.

State (a) the precision, (b) the accuracy, and (c) the greatest possible error of the following measurement number. 5.3 gal

Explore how to determine the precision, accuracy, and greatest possible error for the measurement 5.3 gal. Understand key concepts in measurement, including significant digits and error analysis. This problem is ideal for students in Grades 6-8.

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