сколько будет 74229+53071*742781-(725418*52425717)=

Задача: 74229 + 53071 × 742781 − (725418 × 52425717)

Пошаговое решение:

1. Найдём A = 53071 × 742781

• 742781 × (53000 + 71) = 742781 × 53000 + 742781 × 71
• 742781 × 53000 = (742781 × 53) × 1000 = 39,367,393 × 1000 = 39,367,393,000
• 742781 × 71 = 742781 × 70 + 742781 × 1 = 51,994,670 + 742,781 = 52,737,451
• A = 39,367,393,000 + 52,737,451 = 39,420,130,451

2. Найдём B = 725418 × 52425717

• 52425717 × 725418 = 52425717 × (725000 + 418)
• 52425717 × 725000 = (52425717 × 725) × 1000
  • 52425717 × 725 = 52425717 × (700 + 25) = 52425717×700 + 52425717×25
  • 52425717×700 = 36,698,001,900
  • 52425717×25 = 1,310,642,925
  • суммирование: 36,698,001,900 + 1,310,642,925 = 38,008,644,825
  • ×1000 → 38,008,644,825,000
• 52425717 × 418 = 52425717 × (400 + 18) = 20,970,286,800 + 943,662,906 = 21,913,949,706
• B = 38,008,644,825,000 + 21,913,949,706 = 38,030,558,774,706

3. Итог:

• сначала A + 74229 = 39,420,130,451 + 74,229 = 39,420,204,680
• затем T = (A + 74229) − B = 39,420,204,680 − 38,030,558,774,706 = −37,991,138,570,026

Ответ: -37 991 138 570 026