Вычислите тремя способами каждый пример, применив распределительный закон: 1) 8*2+2*92+8*98+2*8=? 2) 356*73+644*27+73*644+27*356=?

1) 8 * 2 + 2 * 92 + 8 * 98 + 2 * 8 = (8 * 2 + 8 * 98) + (2 * 92 + 2 * 8) =

= 8 * (2 + 98) + 2 * (92 + 8) = 8 * 100 + 2 * 100 = 1000;

8 * 2 + 2 * 92 + 8 * 98 + 2 * 8 = (8 * 2 + 2 * 8) + (2 * 92 + 8 * 98) = 2 * 16 + 8 * (23 + 98) =

=32 + 968 = 1000;

8 * 2 + 2 * 92 + 8 * 98 + 2 * 8 = (8 * 2 + 2 * 92) + 8 * 98 + 2 * 8) = 8 (2 + 23) + 8 (98 + 2) =

= 8 * 25 + 8 * 100 = 200 + 800 = 1000;

2). 356 * 73 + 644 * 27 + 73 * 644 + 27 * 356 =

= (356 * 73 + 644 * 27) + (73 * 644 + 27 * 356) = (25988‬ + 17388) + (47012 + 9612) =

= 43 376 + 56 624 = 100000;

356 * 73 + 644 * 27 + 73 * 644 + 27 * 356 =

= (356 * 73 + 73 * 644) + (644 * 27 + 27 * 356) =

= 73 * (356 + 644) + 27 (644 + 356) = (644 + 356) (73 + 27) = 1000 * 100 = 100000;

356 * 73 + 644 * 27 + 73 * 644 + 27 * 356 = (356 * 73 + 27 * 356) + (644 * 27 + 73 * 644) =

= 356 (73 + 27) + 644 (27 + 73) = 356 * 100 + 644 * 100 = 100 * 1000 = 100000.