递等式计算(能巧算的用巧算)
(1)1210÷[1815-(450+155)]
(2)331+971+129+669
(3)2500×9×4??????????????????????
(4)88×101????????????????
(5)199×98-98×99.
网友回答
解:(1)1210÷[1815-(450+155)],
=1210÷[1815-605],
=1210÷1210,
=1;
(2)331+971+129+669,
=(331+669)+(971+129),
=1000+1100,
=2100;
(3)2500×9×4,
=2500×4×9,
=10000×9,
=90000;
(4)88×101,
=88×(100+1),
=8800×100+86×1,
=8800+88,
=8888;
(5)199×98-98×99,
=(199-99)×98,
=100×98,
=9800.
解析分析:(1)按照先算小括号里面的,再算中括号里面的,最后算括号外面的顺序即可解答,
(2)运用加法交换律和结合律即可解答,
(3)运用乘法交换律解答,
(4)(5)运用乘法分配律解答.
点评:本题考查知识点:(1)依据四则运算顺序正确进行计算,(2)正确运用简便算法解决问题.