This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the evaluations and rough checks for each problem: 1. 3.925 × 0.03175 Step 1: Exact calculation 3.925 × 0.03175 = 0.12479375 Step 2: Rough calculation 4 × 0.03 = 0.12 The rough calculation 0.12 is close to the exact result 0.12479375. The answer is 0.12479375. 2. 0.7642 × 0.3507 Step 1: Exact calculation 0.7642 × 0.3507 = 0.26809994 Step 2: Rough calculation 0.8 × 0.35 = 0.28 The rough calculation 0.28 is close to the exact result 0.26809994. The answer is 0.26809994. 3. 0.6735 × 0.928 Step 1: Exact calculation 0.6735 × 0.928 = 0.625068 Step 2: Rough calculation 0.7 × 0.9 = 0.63 The rough calculation 0.63 is close to the exact result 0.625068. The answer is 0.625068. 4. 0.0935 × 8.672 Step 1: Exact calculation 0.0935 × 8.672 = 0.811952 Step 2: Rough calculation 0.09 × 9 = 0.81 The rough calculation 0.81 is close to the exact result 0.811952. The answer is 0.811952. 5. 0.3426 × 0.1938 Step 1: Exact calculation 0.3426 × 0.1938 = 0.06649668 Step 2: Rough calculation 0.35 × 0.2 = 0.07 The rough calculation 0.07 is close to the exact result 0.06649668. The answer is 0.06649668. 6. 0.0672 × 0.09853 Step 1: Exact calculation 0.0672 × 0.09853 = 0.006619056 Step 2: Rough calculation 0.07 × 0.1 = 0.007 The rough calculation 0.007 is close to the exact result 0.006619056. The answer is 0.006619056. 7. 0.5692 ÷ 0.0943 Step 1: Exact calculation 0.5692 ÷ 0.0943 ≈ 6.036055 Step 2: Rough calculation 0.6 ÷ 0.1 = 6 The rough calculation 6 is close to the exact result 6.036055. The answer is 6.036055. 8. 29.57 ÷ 119.8 Step 1: Exact calculation 29.57 ÷ 119.8 ≈ 0.246828 Step 2: Rough calculation 30 ÷ 120 = 0.25 The rough calculation 0.25 is close to the exact result 0.246828. The answer is 0.246828. 9. 9.43 ÷ 56.92 Step 1: Exact calculation 9.43 ÷ 56.92 ≈ 0.165671 Step 2: Rough calculation 9 ÷ 57 ≈ 0.158 The rough calculation 0.158 is close to the exact result 0.165671. The answer is 0.165671. 10. 5.673 ÷ 98.42 Step 1: Exact calculation 5.673 ÷ 98.42 ≈ 0.057631 Step 2: Rough calculation 6 ÷ 100 = 0.06 The rough calculation 0.06 is close to the exact result 0.057631. The answer is 0.057631. 11. 0.52 ÷ 0.09235 Step 1: Exact calculation 0.52 ÷ 0.09235 ≈ 5.630753 Step 2: Rough calculation 0.5 ÷ 0.09 ≈ 5.56 The rough calculation 5.56 is close to the exact result 5.630753. The answer is 5.630753. 12. 0.7662 ÷ 9.325 Step 1: Exact calculation 0.7662 ÷ 9.325 ≈ 0.082166 Step 2: Rough calculation 0.8 ÷ 9 = 0.0888... The rough calculation 0.0888 is close to the exact result 0.082166. The answer is 0.082166. 13. 8.686 × 0.5072 Step 1: Exact calculation 8.686 × 0.5072 = 4.4069312 Step 2: Rough calculation 9 ×