109876890435-6666678•1362755870

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