Задача: 109876890435 - 6666678 × 1362755870
Шаг 1. Посчитаем произведение
A = 6,666,678
B = 1,362,755,870
A × B = 6,666,678 × 1,362,755,870
Разобьем 6,666,678 на 6,000,000 + 666,678 и умножим по частям.
- B × 6,000,000 = 1,362,755,870 × 6,000,000
= (1,362,755,870 × 6) × 1,000,000
= 8,176,535,220 × 1,000,000
= 8,176,535,220,000,000
- B × 666,678 = B × (666,000 + 678)
• B × 666,000 = (B × 666) × 1000
B × 666 = B × (600 + 60 + 6)
B × 600 = 817,653,522,000
B × 60 = 81,765,352,200
B × 6 = 8,176,535,220
Sum: B × 666 = 907,595,409,420
B × 666,000 = 907,595,409,420,000
• B × 678 = B × (600 + 70 + 8)
B × 600 = 817,653,522,000
B × 70 = 95,392,910,900
B × 8 = 10,902,046,960
Sum: B × 678 = 923,948,479,860
Итого B × 666,678 = 907,595,409,420,000 + 923,948,479,860 = 908,519,357,899,860
Итак, произведение
A × B = 8,176,535,220,000,000 + 908,519,357,899,860
= 9,085,054,577,899,860
Шаг 2. Вычтем
109,876,890,435 − 9,085,054,577,899,860
Это число отрицательное. Вычислим разницу:
9,085,054,577,899,860 − 109,876,890,435 = 9,084,944,701,009,425
Значит:
109,876,890,435 − 9,085,054,577,899,860 = −9,084,944,701,009,425
Ответ: -9 084 944 701 009 425
