考点:小数四则混合运算
专题:运算顺序及法则
分析:(1)变形为(2.6÷2.6)×(1.9×1.9)计算;
(2)先算小括号里面的乘法,再算括号外面的除法;
(3)将12×2.5+0.8×2.5变形为3×(4×2.5)+0.8×2.5计算;
(4)根据除法的性质计算;
(5)先算小括号里面的加法,再算中括号里面的除法和加法,最后计算括号外面的减法;
(6)先算小括号里面的乘法和减法,再计算括号外面的除法.
解答:
解:(1)2.6×1.9÷2.6×1.9
=(2.6÷2.6)×(1.9×1.9)
=1×3.61
=3.61
(2)4.264÷(0.16×20.5)
=4.264÷3.28
=1.3
(3)12×2.5+0.8×2.5
=3×(4×2.5)+0.8×2.5
=3×10+0.8×2.5
=30+2
=32
(4)3.75÷0.25÷0.4
=3.75÷(0.25×0.4)
=3.75÷0.1
=37.5
(5)30-[5.5+18÷(5.2+3.8)]
=30-[5.5+18÷9]
=30-[5.5+2]
=30-7.5
=22.5
(6)(7.5-2.3×0.4)÷0.02
=(7.5-0.92)÷0.02
=6.58÷0.02
=329
点评:考查了运算定律与简便运算,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.