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To estimate the expression

\[
\frac{393.1 \times (8.96 - 6.2)}{51.9}
\]

by rounding each number to 1 significant figure, we proceed as follows:

1. **Round each number to 1 significant figure:**
   - \( 393.1 \) rounds to \( 400 \).
   - \( 8.96 \) rounds to \( 9 \).
   - \( 6.2 \) rounds to \( 6 \).
   - \( 51.9 \) rounds to \( 50 \).

2. **Simplify the expression with rounded values:**
   \[
   \frac{400 \times (9 - 6)}{50}
   \]

3. **Calculate step by step:**
   - \( 9 - 6 = 3 \), so the expression becomes:
   \[
   \frac{400 \times 3}{50}
   \]
   - Now multiply \( 400 \times 3 = 1200 \), so:
   \[
   \frac{1200}{50}
   \]
   - Finally, \( 1200 \div 50 = 24 \).

Thus, the estimate of the expression is **24**.

Would you like a detailed breakdown or have any questions?

Here are 5 related questions:
1. What does "significant figure" mean in rounding?
2. How would the answer change if we used 2 significant figures?
3. Why is it important to simplify an expression step by step?
4. How does rounding affect the accuracy of an estimate?
5. How could you use estimation techniques in everyday life?

**Tip:** When estimating, try to balance between speed and precision. More significant figures can give a more accurate estimate but take longer.

Write each number correct to 1 significant figure to work out an estimate of (393.1 * (8.96 - 6.2)) / 51.9.

Learn how to estimate the expression (393.1 * (8.96 - 6.2)) / 51.9 by rounding each number to 1 significant figure. This example teaches key concepts of estimation and basic arithmetic suitable for students in Grades 7-9.

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