Certainly! Here are some practice problems for adding numbers in scientific notation, along with their answers:
### Practice Problems
1. **(3.0 × 10²) + (4.5 × 10²)**
Answer: **7.5 × 10²**
2. **(6.2 × 10³) + (3.1 × 10²)**
Answer: **6.51 × 10³**
(Note: Convert \(3.1 \times 10^{2}\) to \(0.031 \times 10^{3}\) before adding)
3. **(1.2 × 10⁴) + (3.0 × 10⁴)**
Answer: **4.2 × 10⁴**
4. **(5.1 × 10⁵) + (2.3 × 10⁵)**
Answer: **7.4 × 10⁵**
5. **(9.7 × 10⁻³) + (2.4 × 10⁻³)**
Answer: **1.21 × 10⁻²**
(Note: \(9.7 \times 10^{-3} + 2.4 \times 10^{-3} = 12.1 \times 10^{-3}\))
6. **(8.0 × 10⁶) + (1.1 × 10⁷)**
Answer: **1.91 × 10⁷**
(Note: Convert \(8.0 \times 10^{6}\) to \(0.8 \times 10^{7}\) before adding)
7. **(3.5 × 10⁻⁵) + (6.0 × 10⁻⁵)**
Answer: **9.5 × 10⁻⁵**
8. **(4.2 × 10²) + (3.5 × 10⁵)**
Answer: **3.5042 × 10⁵**
(Note: Convert \(4.2 \times 10^{2}\) to \(0.042 \times 10^{5}\) before adding)
### Summary of Answers
1. 7.5 × 10²
2. 6.51 × 10³
3. 4.2 × 10⁴
4. 7.4 × 10⁵
5. 1.21 × 10⁻²
6. 1.91 × 10⁷
7. 9.5 × 10⁻⁵
8. 3.5042 × 10⁵
Feel free to let me know if you need more practice problems or any further explanations!