Perform the following calculation and give the answer with the correct number of significant figures.
(3.5 x 0.261) / (8.24 x 20.0)

Let's solve the expression step by step and determine the correct number of significant figures.

The expression is:

\[
\frac{(3.5 \times 0.261)}{(8.24 \times 20.0)}
\]

### Step 1: Multiply the numbers in the numerator
\[
3.5 \times 0.261 = 0.9135
\]

### Step 2: Multiply the numbers in the denominator
\[
8.24 \times 20.0 = 164.8
\]

### Step 3: Divide the results
\[
\frac{0.9135}{164.8} \approx 0.005543406
\]

### Step 4: Determine the significant figures
- **3.5** has 2 significant figures.
- **0.261** has 3 significant figures.
- **8.24** has 3 significant figures.
- **20.0** has 3 significant figures.

The result should be rounded to **2 significant figures** because the number with the fewest significant figures in the calculation is 3.5.

### Final Answer:
\[
\text{Final result} = 0.0055 \text{ (with 2 significant figures)}
\]

Would you like further details or have any questions?

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Here are 5 related questions for you:
1. How do you determine the number of significant figures in a number?
2. What are the rules for significant figures when performing addition and subtraction?
3. Can you explain why significant figures are important in scientific calculations?
4. How do significant figures differ from decimal places?
5. How would the answer change if the numbers had more significant figures?

**Tip:** Always check the significant figures of your final answer, especially in scientific and engineering calculations, to maintain precision and accuracy.

Learn how to calculate significant figures for the expression (3.5 x 0.261) / (8.24 x 20.0). Understand the rules for determining significant figures in scientific calculations. Suitable for high school students and above.

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