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To solve the given problem, you are asked to approximate the value of:

\[
\frac{0.482 \times 61.2^2}{\sqrt{98.01}}
\]

### Step-by-Step Process (Approximating to 1 Significant Figure)

#### 1. **Approximate each value to 1 significant figure:**

- \( 0.482 \) becomes \( 0.5 \)
- \( 61.2 \) becomes \( 60 \)
- \( 98.01 \) becomes \( 100 \)

#### 2. **Substitute these approximated values into the expression:**

The original expression becomes:

\[
\frac{0.5 \times 60^2}{\sqrt{100}}
\]

#### 3. **Simplify each part:**

- \( 60^2 = 3600 \)
- \( \sqrt{100} = 10 \)

Now the expression is:

\[
\frac{0.5 \times 3600}{10}
\]

#### 4. **Perform the multiplication:**

- \( 0.5 \times 3600 = 1800 \)

#### 5. **Divide by 10:**

- \( \frac{1800}{10} = 180 \)

### Final Answer:
The estimated value is **180**.

Would you like more details or have any questions? 

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Here are 5 related questions to expand your understanding:
1. How does rounding to 1 significant figure impact the accuracy of a result?
2. What is the general rule for multiplying and dividing numbers with significant figures?
3. How would the result change if we rounded to 2 significant figures instead?
4. Can you apply this method to another expression, such as \( \frac{2.34 \times 45.6}{\sqrt{50}} \)?
5. Why is it important to consider the units in approximation problems?

**Tip:** When approximating values, be consistent with the number of significant figures throughout the calculation to maintain accuracy.

Using approximations to 1 significant figure, estimate the value of (0.482 * 61.2^2) / √98.01.

Learn how to estimate the value of (0.482 * 61.2^2) / √98.01 by approximating to 1 significant figure. This problem involves concepts such as significant figures, multiplication, and square roots, making it suitable for students in Grades 8-10.

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