解题思路:①运用乘法交换律和结合律进行简算,4与2.5,0.8与12.5结合;
②注意运算顺序即可;
③注意运算顺序,在计算3.9×4.6时,变为(4-0.1)×4.6较简便;
④运用乘法分配律的逆运算进行简算.
①4×0.8×2.5×12.5,
=(4×2.5)×(0.8×12.5),
=10×10,
=100;
②[2/15]÷[1-([1/5]+[1/3])],
=[2/15÷[1-
8
15]],
=[2/15]÷[7/15],
=[2/15×
15
7],
=[2/7];
③(2.8+3.85÷3.5)×4.6,
=(2.8+1.1)×4.6,
=3.9×4.6,
=(4-0.1)×4.6,
=4×4.6-0.1×4.6,
=18.4-0.46,
=17.94;
④6.5×1.83+0.17×6.5,
=(1.83+0.17)×6.5,
=2×6.5,
=13.
点评:
本题考点: 小数四则混合运算;运算定律与简便运算;分数的简便计算;分数的四则混合运算.
考点点评: 此题考查了学生对运算顺序和运算定律的掌握情况.