400-213.15÷10.5;
17.46-7.83-2.17+2.54;
7.5+2.5+0.6×0.4-3.24;
1.23×4+4.92×7+2×4.92;
(10-9.5×0.48)+15.9÷0.75;
3.5×[6.8-(1.6+3.6÷0.9)].
解:(1)400-213.15÷10.5,
=400-20.3,
=379.7;
(2)17.46-7.83-2.17+2.54,
=(17.46+2.54)-(7.83+2.17),
=20-10,
=10;
(3)7.5+2.5+0.6×0.4-3.24,
=(7.5+2.5)+0.24-3.24,
=10-(3.24-0.24),
=10-3,
=7;
(4)1.23×4+4.92×7+2×4.92,
=4.92+4.92×7+2×4.92,
=(1+7+2)×4.92,
=10×4.92,
=49.2;
(5)(10-9.5×0.48)+15.9÷0.75,
=(10-4.56)+15.9÷0.75,
=5.44+21.2,
=26.64;
(6)3.5×[6.8-(1.6+3.6÷0.9)],
=3.5×[6.8-(1.6+4)],
=3.5×[6.8-5.6],
=3.5×1.2,
=4.2.
分析:(1)先算除法,再算减法;
(2)运用加法交换律与结合律计算;
(3)先算乘法,然后运用加法结合律与减法的性质简算;
(4)原式变为4.92+4.92×7+2×4.92,运用乘法分配律简算;
(5)先算括号内的除法和括号外的除法,进一步计算即可;
(6)先算小括号内的除法,再算小括号内的加法,然后算中括号内的,最后算括号外的.
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律简便计算.