计算下面各题,能简算的要简算. (1)([1/5]+[1/3])×15 (2)[4/7]×[5/9]+[3/7]×[5/

计算下面各题,能简算的要简算.
(1)([1/5]+[1/3])×15
(2)[4/7]×[5/9]+[3/7]×[5/9] (3)[1/3]×[5/16]×[3/5]
(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)[5/7]-[5/9]×[5/7]
(10)[2/9]+[7/16]×[2/9] (11)[1/4]+[3/4]×[2/7] (12)[2/5]-[2/5]×[3/8]
(13)90×[4/91] (14)86×[2/91] (15)[7/5]×[2/3]-[2/5]×[2/3]
(16)0.36×101-0.36 (17)0.36×99+0.36 (18)[13/20]×[15/26]-[2/9].
路漫漫3 1年前 已收到1个回答 举报

黎亲昵 春芽

共回答了17个问题采纳率:94.1% 举报

解题思路:(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.

(1)([1/5]+[1/3])×15,
=[1/5]×15+[1/3]×15,
=3+5,
=8;

(2)[4/7]×[5/9]+[3/7]×[5/9],
=([4/7]+[3/7])×[5/9],
=1×[5/9],
=[5/9];

(3)[1/3]×[5/16]×[3/5],
=[1/3]×[3/5]×[5/16],
=[1/5]×[5/16],
=[1/16];

(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)[5/7]-[5/9]×[5/7],
=(1-[5/9])×[5/7],
=[4/9]×

点评:
本题考点: 整数、分数、小数、百分数四则混合运算;运算定律与简便运算;分数的简便计算.

考点点评: 运算定律是常用的简便运算的方法,要熟练掌握,灵活运用.

1年前

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