用简便方法计算下面各题.(1)66×21+19×21+85×19(2)36×111+888×8(3)99×99+199.
1个回答

解题思路:(1)两次运用乘法分配律简算;

(2)先把888×8分解成111×64,再运用乘法分配律简算;

(3)先把99分解成100-1,再运用乘法分配律简算.

(1)66×21+19×21+85×19,

=(66+19)×21+85×19,

=85×21+85×19,

=85×(21+19),

=85×40,

=3400;

(2)36×111+888×8,

=36×111+111×8×8,

=36×111+111×64,

=(36+64)×111,

=100×111,

=11100;

(3)99×99+199,

=99×(100-1)+199,

=99×100-99×1+199,

=9900-99+199,

=9900+(199-99),

=9900+100,

=10000.

点评:

本题考点: 运算定律与简便运算.

考点点评: 乘法分配律是最常用的简便运算的方法,要熟练掌握,灵活运用.