用简便方法计算
(1)(+)×5×7
(2)999+99+9+
(3))299÷(299+)
(4)[-()]×.
网友回答
解:(1)(+)×5×7,
=×5×7+×5×7,
=7+10,
=17;
(2)999+99+9+,
=999+99+9+(3),
=999+99+9+(8+1),
=999+99+9+3
=1110;
(3))299÷(299+),
=299÷[299×(1)],
=299,
=;
(4)[-()]×,
=[-)]×,
=[1-]×,
=,
=.
解析分析:(1)运用乘法分配律解答,
(2)化,然后把带分数化为整数加分数的形式,最后运用加法交换律和结合律即可解答,
(3)把带分数化为整数加分数的形式,再运用加法结合律以及乘法分配律即可解答.
(4)先运用减法性质化简算式,再依据四则运算顺序解答.
点评:正确选择并运用简便算法是解答本题的关键,注意计算结果的准确性.