Decimal Operations C4E44E
1. **Stating the problem:**
We have four subproblems involving multiplication and division with decimals, and a word problem about buying fruit with prices per kilogram.
2. **Subproblem a:** Calculate $4.9 \times 10.2$.
- Multiply as usual: $4.9 \times 10.2 = 49.98$.
3. **Subproblem b:** Calculate $62.1 \div 3.3$ and compare with $7.5 \div 5$.
- Calculate $62.1 \div 3.3 = 18.8181... \approx 18.82$.
- Calculate $7.5 \div 5 = 1.5$.
- Since $18.82 \neq 1.5$, the equality $62.1 : 3.3 = 7.5 : 5$ is false.
4. **Subproblem c:** Given $12.1 : 5.3 = ? : ? = ?$.
- The problem is incomplete; we cannot solve without more information.
5. **Subproblem d:** Given $4.7 : 0.9 = ? : ? = ?$.
- Similarly, incomplete data prevents solving.
6. **Word problem:** Stian buys 1.8 kg clementines at 13.90 per kg, 18.90 per kg (likely a correction), and 3 kg apples at 28.50 per kg.
- We assume the clementines cost 13.90 per kg.
- Calculate cost of clementines: $1.8 \times 13.90 = 25.02$.
- Calculate cost of apples: $3 \times 28.50 = 85.50$.
- Total cost estimate: $25.02 + 85.50 = 110.52$.
7. **Summary:**
- a) $49.98$
- b) $62.1 : 3.3 \neq 7.5 : 5$
- c) and d) incomplete data
- Fruit cost approximately $110.52$.
This completes the first problem fully and addresses the word problem with an estimate.