数学有理数的混合运算

来源:百度知道 编辑:UC知道 时间:2024/04/29 07:50:21
-3.14*35.2+6.28*(-23.3)-1.57*36.4 简便算法

-3.14*35.2+6.28*(-23.3)-1.57*36.4
=-1.57*2*35.2+1.57*4*(-23.3)-1.57*36.4
=-1.57(2*35.2+4*23.3+36.4)
=-1.57(70.4+93.2+36.4)
=-1.57*200
=-314

-3.14*35.2+6.28*(-23.3)-1.57*36.4
=3.14*(-35.2)+3.14*2*(-23.3)-3.14*18.2
=3.14*(-35.2-46.6-18.2)
=3.14*(-100)
=-314

原式=-1.57*2*35.2+1.57*4*(-23.3)-1.57*36.4
=-1.57*(2*35.2+4*23.3+36.4)
=-1.57*(70.4+93.2+36.4)
=-1.57*200
=-314

-3.14*35.2+6.28*(-23.3)-1.57*36.4
=3.14*(-1*35.2+2*(-23.3)-1/2*36.4)
=3.14*(-35.2-36.6-18.2)
=3.14*(-90)
=-282.6

解:原式=3.14×(-35.2)+3.14×(-2×23.3)+3.14×(-5×3.64)
=3.14×(-35.2-46.6-18.2)
=3.14×(-100)
=-314