(1)(+)×15(2)×+×(3)××(4)2.5×97×0.4(5)1.25×97×8(6)1.25×32×2.5×97(7)0.36×101(8)0.36×98(9)-×(10)+×(11)+×(12)-×(13)90×(14)86×(15)×-×(16)0.36×101-0.36(17)0.36×99+0.36(18)×-.
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解:(1)(+)×15,
=×15+×15,
=3+5,
=8;
(2)×+×,
=(+)×,
=1×,
=;
(3)××,
=××,
=×,
=;
(4)2.5×97×0.4,
=(2.5×0.4)×97,
=1×97,
=97;
(5)1.25×97×8,
=(1.25×8)×97,
=10×97,
=970;
(6)1.25×32×2.5×97,
=1.25×8×4×2.5×97,
=(1.25×8)×(4×2.5)×97,
=10×10×97,
=9700;
(7)0.36×101,
=0.36×(100+1),
=0.36×100+0.36×1,
=36+0.36,
=36.36;
(8)0.36×98,
=0.36×(100-2),
=0.36×100-0.36×2,
=36-0.72,
=35.28;
(9)-×,
=(1-)×,
=×,
=;
(10)+×,
=(1+)×,
=×,
=;
(11)+×,
=+,
=;
(12)-×,
=(1-)×,
=×,
=;
(13)90×,
=(91-1)×,
=91×-1×,
=4-,
=3;
(14)86×,
=(91-5)×,
=91×-5×,
=2-,
=1;
(15)×-×,
=(-)×,
=1×,
=;
(16)0.36×101-0.36,
=0.36×(101-1);
=0.36×100,
=36;
(17)0.36×99+0.36,
=0.36×(99+1),
=0.36×100,
=36;
(18)×-,
=-,
=.
解析分析:(1)(2)(7)(8)(9)(10)(12)(13)(14)(15)(16)(17)运用乘法分配律简算;(3)(4)(5)运用乘法交换律简算;(6)先把32分解成8×4,再运用乘法结合律简算;(11)(18)按照先算乘除,再算加减,有括号的先算括号里面的顺序计算.
点评:运算定律是常用的简便运算的方法,要熟练掌握,灵活运用.