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
Step 1: Which estimate was closer to the actual? Give a reason. The estimates are (900)/(30) = 30 and (1000)/(30) ≈ 33. Actual: 27 × 36 = 972, 979 - 972 = 7, so quotient 36, remainder 7. &27 × 36: \\ &20 × 36 = 720, \\ &7 × 36 = 252, \\ &720 + 252 = 972. 33 is closer to 36 (|36-33|=3) than 30 (|36-30|=6). Reason: 979 is closer to 1000 (21 away) than to 900 (79 away). Step 2a: 350 ÷ 8 Test 44 × 8: 44 × 8 = 40 × 8 + 4 × 8 = 320 + 32 = 352 > 350. Test 43 × 8: &8 × 43: \\ &8 × 40 = 320, \\ &8 × 3 = 24, \\ &320 + 24 = 344, \\ &350 - 344 = 6. 350 = 8 × 43 + 6. 43 remainder 6 Step 2b: 4300 ÷ 4 4 × 1000 = 4000, 4300 - 4000 = 300. 4 × 75 = 300, 1000 + 75 = 1075, 4300 - 4 × 1075 = 0. 4300 = 4 × 1075 + 0. 1075 Step 2c: 7436 ÷ 6 6 × 1200 = 7200, 7436 - 7200 = 236. 6 × 39 = 234, 7200 + 234 = 7434, 7436 - 7434 = 2. 7436 = 6 × 1239 + 2. 1239 remainder 2