脫式計算,能簡算得要簡算.
5.45+0.56×7.4 2.5×0.89×4 25×16.7-25×0.7
7.6×99 5.6×10.2 2.5×3.2×1.25
9.6÷0.4×0.25 3.56×2.8-1.24×0.9 (12.5+1.25)×8
(2.5×1.7)×4 12.5×8.8 0.89×100.1
0.25×0.8×4×0.125 8.4×0.26+0.74 31.7-0.5×0.7-1.65.
分析:(1)5.45+0.56×7.4按運算順序,先算0.56×7.4,再算加;
(2)2.5×0.89×4利用乘法的交換律變成(2.5×4)×0.89計算簡便;
(3)25×16.7-25×0.7利用乘法的分配律變成25×(16.7-0.7);
(4)7.6×99變成7.6×(100-1),利用乘法的分配律變成7.6×100-7.6;
(5)5.6×10.2變成5.6×(10+0.2),利用乘法的分配律變成5.6×10-5.6×0.2;
(6)2.5×3.2×1.25變成2.5×0.4×8×1.25,利用乘法的分配律變成(2.5×0.4)×(8×1.25);
(7)9.6÷0.4×0.25按運算順序,先算9.6÷0.4,再算乘;
(8)3.56×2.8-1.24×0.9按運算順序3.56×2.8和1.24×0.9同時計算,再算減;
(9)(12.5+1.25)×8利用乘法的分配律變成12.5×8+1.25×8;
(10)(2.5×1.7)×4利用乘法的交換律變成(2.5×4)×1.7計算簡便;
(11)12.5×8.8變成12.5×8×1.1,利用乘法的交結合律變成(12.5×8)×1.1;
(12)0.89×100.1變成0.89×(100+0.1),利用乘法的分配律變成0.89×100-0.89×0.1;
(13)0.25×0.8×4×0.125利用乘法的交結合律和交換律變成(0.25×4)×(0.8×0.125);
(14)8.4×0.26+0.74按運算順序,先算8.4×0.26,再算加;
(15)31.7-0.5×0.7-1.65,先算0.5×0.7,再利用一個數(shù)連續(xù)減去兩個數(shù)等于這個數(shù)減去這兩個數(shù)的和變成31.7-(0.35+1.65)計算簡便.
解答:解:(1)5.45+0.56×7.4,
=5.45+4.144,
=9.594;

(2)2.5×0.89×4,
=(2.5×4)×0.89,
=10×0.89,
=8.9;

(3)25×16.7-25×0.7,
=25×(16.7-0.7),
=25×16,
=400;

(4)7.6×99,
=7.6×(100-1),
=7.6×100-7.6,
=760-7.6,
=752.4;

(5)5.6×10.2,
=5.6×(10+0.2),
=5.6×10-5.6×0.2,
=56-1.12,
=54.88;

(6)2.5×3.2×1.25,
=2.5×0.4×8×1.25,
=(2.5×0.4)×(8×1.25),
=1×10,
=10,

(7)9.6÷0.4×0.25,
=24×0.25,
=6;

(8)3.56×2.8-1.24×0.9,
=9.968-1.116,
=8.852;

(9)(12.5+1.25)×8,
=12.5×8+1.25×8,
=100+10,
=110;

(10)(2.5×1.7)×4,
=(2.5×4)×1.7,
=10×1.7,
=17;

(11)12.5×8.8,
=12.5×8×1.1,
=(12.5×8)×1.1,
=100×1.1,
=110;

(12)0.89×100.1,
=0.89×(100+0.1),
=0.89×100-0.89×0.1,
=89-0.089,
=88.911;

(13)0.25×0.8×4×0.125,
=(0.25×4)×(0.8×0.125),
=1×0.1,
=0.1;

(14)8.4×0.26+0.74,
=2.184+0.74,
=2.924;

(15)31.7-0.5×0.7-1.65,
=31.7-0.35-1.65,
=31.7-(0.35+1.65),
=31.7-2,
=29.7.
點評:考查了運算定律與簡便運算,四則混合運算.注意運算順序和運算法則,靈活運用所學的運算律簡便計算.
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