题目内容

16.计算,能简算的要简算.
125×48                     2.8+0.36+7.2+14.64               125×108
34×123+78×34              18.3-6.25-3.75                   37×99
457-(69+72×4)25×[180÷(15×4)]6.1-(2.2-0.25)

分析 (1)把48拆成8×6简算;
(2)利用加法交换律与结合律简算;
(3)(4)(6)利用乘法分配律简算;
(5)利用减法的性质简算;
(7)先算乘法,再算加法,最后算减法;
(8)先算小括号里面的乘法,再算除法,最后算括号外面的乘法;
(9)先算括号里面的减法,再算括号外面的减法.

解答 解:(1)125×48
=125×8×6
=1000×6
=6000;

(2)2.8+0.36+7.2+14.64
=(2.8+7.2)+(0.36+14.64)
=10+15
=25;

(3)125×108
=125×100+125×8
=12500+1000
=13500;

(4)34×123+78×34 
=34×(123+78)
=34×201
=6834;

(5)18.3-6.25-3.75
=18.3-(6.25+3.75)
=18.3-10
=8.3;

(6)37×99
=37×100-37×1
=3700-37
=3663;

(7)457-(69+72×4)
=457-(69+288)
=457-357
=100;

(8)25×[180÷(15×4)]
=25×[180÷60]
=25×3
=75;

(9)6.1-(2.2-0.25)
=6.1-1.95
=4.15.

点评 混合运算的关键是抓住运算顺序,正确按运算顺序计算,适当利用运算定律简算.

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