解题思路:(1)先算除法,再算加法,最后算乘法;
(2)(5)利用乘法分配律简算;
(3)先算小括号里面的减法,再算中括号里面的减法,最后算乘法;
(4)先算加法和减法,再算乘法;
(6)先算加法,再算括号里面的除法,最后算括号外面的除法.
(1)(736÷16+37)×18
=(46+37)×18
=83×18
=1494;
(2)([5/6]+[7/8]-[5/12])÷[1/24]
=([5/6]+[7/8]-[5/12])×24
=[5/6]×24+[7/8]×24-[5/12]×24
=20+21-10
=31;
(3)[[5/6]-([5/14]-[2/7])]×[7/18]
=[[5/6]-[1/14]]×[7/18]
=[16/21]×[7/18]
=[8/27];
(4)([7/8]-[5/16])×([2/9]+[2/3])
=[9/16]×[8/9]
=[1/2];
(5)20.14×1994-19.93×2014
=2014×19.94-19.93×2014
=(19.94-19.93)×2014
=0.01×2014
=20.14;
(6)[3/5]÷[([1/5]+
点评:
本题考点: 整数四则混合运算;运算定律与简便运算;分数的四则混合运算;小数四则混合运算.
考点点评: 整数混合运算的关键是抓住运算顺序,正确按顺序计算,适当利用运算定律简算.