问题
解答题
巧算.
①9.9+99.9+999.9+9999.9+99999.9
②(1.25+1.25+1.25)×7+21×8.75
③0.75×4.3+2.5×0.43.
答案
①9.9+99.9+999.9+9999.9+99999.9,
=(9+0.9)+(99+0.9)+(999+0.9)+(9999+0.9)+(99999+0.9),
=(9+99+999+9999+99999)+0.9×5,
=(10-1+100-1+1000-1+10000-1+100000-1)+4.5,
=111110-5+4.5,
=111109.5;
②(1.25+1.25+1.25)×7+21×8.75,
=1.25×3×7+21×8.75,
=1.25×21+21×8.75,
=21×(1.25+8.75),
=21×10,
=210;
③0.75×4.3+2.5×0.43,
=7.5×0.43+2.5×0.43,
=(7.5+2.5)×0.43,
=10×0.43,
=4.3.