The following measurements are added:  5.8943 mm + 3.03 mm + 2.345 mm. The result (with the appropriate number of significant figures) is:

Step 1: Break Down the Problem

We need to add the three measurements:

1. $5.8943 \, \text{mm}$
2. $3.03 \, \text{mm}$
3. $2.345 \, \text{mm}$

Step 2: Relevant Concepts

The result must be presented with the correct number of significant figures. The number of decimal places in the result should match the measurement with the least number of decimal places.

Step 3: Analysis and Detail

1. Identify the Decimal Places:

   • $5.8943 \, \text{mm}$ has 4 decimal places.
   • $3.03 \, \text{mm}$ has 2 decimal places.
   • $2.345 \, \text{mm}$ has 3 decimal places.

   The measurement with the least number of decimal places is $3.03 \, \text{mm}$ with 2 decimal places.

2. Perform the Addition: $5.8943 + 3.0300 + 2.3450 = 11.2693 \, \text{mm}$

Step 4: Verify and Summarize

Since the least number of decimal places is 2 (from $3.03 \, \text{mm}$), we will round $11.2693 \, \text{mm}$ to 2 decimal places: $11.27 \, \text{mm}$

Final Answer

The result of the addition with the appropriate number of significant figures is $11.27 \, \text{mm}$.