Question

854×1375-1376×853怎样算简便？

Answer 1

把原式化为(853+1)×1375-（1375+1）×853，然后可以得出853×1375+1375-（1375×853+853），最后变成1375-853，得数是520。比原来四位数的乘法运算要简单的多

Answer 2

854×1375–1376×853
=854×(1376–1)
–853×1376
=854×1376–854×1–853×1376
=854×1376–853×1376
–854
=(854–853)×1376–854
=1×1376–854
=1376–854
=522
或者这样算:
854×1375–1376×853
=(1+853)×1375
–853×1376
=1×1375+853×1375
–853×1376
=1375–853×1376
+853×1375
=1375–853×(1376–1375)
=1375–853×1
=1375–853
=522

Answer 3

854×1375-1376×853
=854×1375-1375×853-1×853
=（854-853）×1375-853

=1 ×1375-853
=522

Answer 4

854×1375－1376×853
＝854×1375－(1375+1)×853
＝854×1375－1375×853－853×1
＝1375×(854－853)－853
＝1375×1－853
＝522

Answer 5

854x1375-1376x853
＝854x1375-（1375+1）x853
＝854x1375-1375x853-853
＝1375x（854-853）-853
＝1375x1-853
＝1375-853
＝522