1. **State the problem:** Add the numbers 101.0 and 5.05 and express the result with the correct number of significant digits. 2. **Recall the rule for addition with significant digits:** When adding or subtracting, the result should be rounded to the least number of decimal places in any of the numbers. 3. **Analyze the decimal places:** - 101.0 has 1 decimal place. - 5.05 has 2 decimal places. 4. **Perform the addition:** $$101.0 + 5.05 = 106.05$$ 5. **Apply the significant digits rule:** Since 101.0 has only 1 decimal place, round 106.05 to 1 decimal place: $$106.05 \to 106.1$$ 6. **Final answer:** The sum of 101.0 and 5.05, rounded to the correct number of significant digits, is **106.1**.