Question

6.78✘0.29+2.9✘0.222+2.9的简便运算？

请问有会的吗

Answer 1

6.78×0.29+2.9×0.222+2.9的简便运算如下：
6.78×0.29+2.9×0.222+2.9 %先把6.78×0.29改写成0.678×2.9，然后提取公因数2.9
=2.9×(0.678+0.222+1)
=2.9×1.9
=(3-0.1)×(2-0.1) %运用乘法分配律
=3×2-0.1×2-3×0.1+0.1×0.1
=6-0.2-0.3+0.01
=6-0.5+0.01
=5.51

Answer 2

=0.29*（6.78+2.22+1）乘法分配律简便
=0.29*10
=2.9

Answer 3

解：采用提取公因式的方法进行运算可以简化运算，运算中变复杂运算为常用运算

6.78✘0.29+2.9✘0.222+2.9
=0.678✘10✘0.29+2.9✘0.222+2.9      6.78拆分成0.678✘10从而使0.29变为公因式2.9
=2.9✘(0.678+0.222+1)                       提取公因式2.9
=2.9✘(0.9+1)                                       括号内运算
=2.9✘(2-0.1)                                        括号内算式变复杂运算为常用运算
=5.8-0.29                                             去括号变减法
=4.51