解题思路:(1)(2)逆用乘法分配律简算;
(3)把2012改写成2011+1,进而运用乘法分配律简算;
(4)把10.58-(5.58-[7/12])改写成10.58-5.58+[7/12],从而简算;
(5)(6)按照先算括号里面的,再算括号外面的顺序计算.
(1)99×0.79+0.79,
=0.79×(99+1),
=0.79×100,
=79;
(2)[11/15]÷[7/8]+[4/15]×[8/7],
=[11/15]×[8/7]+[4/15]×[8/7],
=([11/15]+[4/15])×[8/7],
=1×[8/7],
=[8/7];
(3)2012×[2010/2011],
=(2011+1)×[2010/2011],
=2011×[2010/2011]+1×[2010/2011],
=2010[2010/2011];
(4)10.58-(5.58-[7/12]),
=10.58-5.58+[7/12],
=5+[7/12],
=5[7/12];
(5)(1-0.05)÷0.19+0.1,
=0.95÷0.19+0.1,
=5+0.1,
=5.1;
(6)5.25×[1-(0.45-0.15)],
=5.25×[1-0.3],
=5.25×0.7,
=3.675.
点评:
本题考点: 小数四则混合运算;运算定律与简便运算;分数的四则混合运算.
考点点评: 完成本题要注意分析式中数据,运用合适的简便方法计算;没有简便方法的,就按照运算顺序计算得解.