Ответ:

  1. \(214 \cdot 57 = 214 \cdot (50 + 7) = 10\,700 + 1\,498 = 12\,198\).
  2. \(509 \cdot 83 = 509 \cdot (80 + 3) = 40\,720 + 1\,527 = 42\,247\).
  3. \(3\,217 \cdot 51 = 3\,217 \cdot (50 + 1) = 160\,850 + 3\,217 = 164\,067\).
  4. \(5\,148 \cdot 670 = 5\,148 \cdot 67 \cdot 10 = 344\,916 \cdot 10 = 3\,449\,160\).
  5. \(3\,154 \cdot 486 = 3\,154 \cdot (500 - 14) = 1\,577\,000 - 44\,156 = 1\,532\,844\).
  6. \(204 \cdot 305 = 204 \cdot (300 + 5) = 61\,200 + 1\,020 = 62\,220\).

Ответ: 1) 12 198; 2) 42 247; 3) 164 067; 4) 3 449 160; 5) 1 532 844; 6) 62 220.