计算下面各题,能简算的要简算.7.28+[3/7]+2.72+[4/7]([3/8]+[1/6])÷[1/24]168.
1个回答

解题思路:(1)运用加法交换律与结合律简算;

(2)把除法改为乘法,运用乘法分配律简算;

(3)先算括号内的乘法,再算括号内的减法,最后算括号外的除法;

(4)运用乘法分配律简算,同时把分数化为小数;

(5)先算除法,再算加法.

(1)7.28+[3/7]+2.72+[4/7],

=(7.28+2.72)+([3/7]+[4/7]),

=10+1,

=11;

(2)([3/8]+[1/6])÷[1/24],

=([3/8]+[1/6])×24,

=[3/8]×24+[1/6]×24,

=9+4,

=13;

(4)168.1÷(4.3×2-0.4),

=168.1÷(8.6-0.4),

=168.1÷8.2,

=20.5;

(5)36×[5/8]+36×0.375,

=36×([5/8]+0.375),

=36×(0.625+0.375),

=36×1,

=36;

(6)[3/7]+[6/7]÷[2/3],

=[3/7]+[6/7]×[3/2],

=[3/7]+[9/7],

=[12/7].

点评:

本题考点: 运算定律与简便运算;整数、分数、小数、百分数四则混合运算.

考点点评: 考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算律简便计算.