用递等式计算,能简算的要简算.(1)100.18-9.6+18.53(2)0.963+23.89-0.063(3)2.5×0.3÷2.5×0.3(4)2.8×10.1

发布时间:2020-08-09 08:46:47

用递等式计算,能简算的要简算.
(1)100.18-9.6+18.53
(2)0.963+23.89-0.063
(3)2.5×0.3÷2.5×0.3
(4)2.8×10.1
(5)51×1.2-1.2
(6)0.36×(15.23-9.63)

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解:(1)100.18-9.6+18.53,
=90.58+18.53,
=109.11;

(2)0.963+23.89-0.063,
=(0.963-0.063)+23.89,
=0.9+23.89,
=24.79;

(3)2.5×0.3÷2.5×0.3,
=2.5÷2.5×0.3×0.3,
=1×0.3×0.3,
=0.09;

(4)2.8×10.1,
=2.8×(10+0.1),
=2.8×10+2.8×0.1,
=28+0.28,
=28.28;

(5)51×1.2-1.2,
=(51-1)×1.2,
=50×1.2,
=60;

(6)0.36×(15.23-9.63),
=0.36×5.6,
=2.016.
解析分析:(1)从左往右依次计算;
(2)运用加法交换律与结合律简算;
(3)为计算简便,可调整一下运算顺序,即2.5÷2.5×0.3×0.3,计算即可;
(4)把10.1看作10+0.1,运用乘法分配律简算;
(5)运用乘法分配律简算;
(6)先算括号内的,再算括号外的.

点评:此题考查了小数的四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律简便计算.
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