(2004•惠山区)递等式计算.(能简算的要简算,并写出主要的简算过程)
1个回答

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.