Perform the indicated operation. Express your final answer to the correct number of significant figures. 45.6m + 859.9ft + 0.0445km + 88.9m

To perform the indicated operation, we first need to convert all the measurements to the same unit. We'll convert everything to meters (m) since most of the values are already in meters.

1. **Convert 859.9 feet to meters:**

   \[
   859.9 \, \text{ft} \times 0.3048 \, \text{m/ft} = 262.01152 \, \text{m}
   \]

   We keep 4 significant figures because 859.9 has 4 significant figures.

2. **Convert 0.0445 kilometers to meters:**

   \[
   0.0445 \, \text{km} \times 1000 \, \text{m/km} = 44.5 \, \text{m}
   \]

   This value has 3 significant figures.

3. **Add all the values in meters:**

   \[
   45.6 \, \text{m} + 262.01152 \, \text{m} + 44.5 \, \text{m} + 88.9 \, \text{m} = 441.01152 \, \text{m}
   \]

4. **Round the final answer to the correct number of significant figures:**

   The least number of significant figures in the measurements is 3 (from 45.6 m and 44.5 m). Therefore, we round the final answer to 3 significant figures:

   \[
   441.01152 \, \text{m} \approx 441 \, \text{m}
   \]

The final answer is **441 m**.

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Do you want details or have any questions?

Here are 5 related questions to expand your knowledge:

1. How do you convert meters to feet?
2. What is the significance of using significant figures in measurements?
3. How do you handle unit conversions in more complex calculations?
4. What are the rules for rounding numbers to significant figures?
5. How does dimensional analysis help in solving unit conversion problems?

**Tip:** Always match your final answer to the least number of significant figures from the original data when adding or subtracting.

Learn how to perform unit conversions and express the final answer with the correct number of significant figures for the operation 45.6m + 859.9ft + 0.0445km + 88.9m. This detailed solution includes key formulas and concepts, suitable for students in Grades 9-12.

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