Вычислите: а) 7 ⋅ 55 + 7 ⋅ 45 + 3 ⋅ 45 + 3 ⋅ 55

Вычислите:

а) 7 ⋅ 55 + 7 ⋅ 45 + 3 ⋅ 45 + 3 ⋅ 55
б) 8 ⋅ 2 + 2 ⋅ 92 + 8 ⋅ 98 + 2 ⋅ 8
в) 37 ⋅ 59 + 37 ⋅ 41 + 63 ⋅ 59 + 41 ⋅ 63
г) 356 ⋅ 73 + 644 ⋅ 27 + 73 ⋅ 644 + 27 ⋅ 356

Ответ

а) 7 ⋅ 55 + 7 ⋅ 45 + 3 ⋅ 45 + 3 ⋅ 55 = 7 ⋅ (55 + 45) + 3 ⋅ (45 + 55) = 7 ⋅ 100 + 3 ⋅ 100 = 700 + 300 = 1000

б) 8 ⋅ 2 + 2 ⋅ 92 + 8 ⋅ 98 + 2 ⋅ 8 = 2 ⋅ (8 + 92) + 8 ⋅ (98 + 2) = 2 ⋅ 100 + 8 ⋅ 100 = 200 + 800 = 1000

в) 37 ⋅ 59 + 37 ⋅ 41 + 63 ⋅ 59 + 41 ⋅ 63 = 37 ⋅ (59 + 41) + 63 ⋅ (59 + 41) = 37 ⋅ 100 + 63 ⋅ 100 = 3700 + 6300 = 10000

г) 356 ⋅ 73 + 644 ⋅ 27 + 73 ⋅ 644 + 27 ⋅ 356 = 73 ⋅ (356 + 644) + 27 ⋅ (644 + 356) = 73 ⋅ 1000 + 27 ⋅ 1000 = 73000 + 27000 = 100000

Опубликовано: 12.09.2018 Обновлено: 12.09.2018
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