Answer :
I'll be happy to help you with solving the problems and expressing the answers to the correct number of significant figures. Let's tackle them step by step:
1. **1.30 =**
- Since 1.30 has two significant figures, the answer should be expressed to the same number of significant figures.
- Therefore, the answer is 1.3.
2. **(2.08 x 10³) x (3.11 x 10²) =**
- First, multiply the numbers without the powers of 10: 2.08 x 3.11 = 6.4528.
- Now, add the powers of 10: 10³ x 10² = 10^(3+2) = 10^5.
- Multiply the two results: 6.4528 x 10^5 = 6.4528 x 100000 = 645280.
- Since the least number of significant figures in the question is 3 (2.08 has 3 significant figures), the answer should be expressed to 3 significant figures.
- Therefore, the answer is 6.45 x 10^5.
These are the solutions to the problems with the correct number of significant figures. Let me know if you need further clarification on any of the steps!