计算:1.1+4.4+7.7+10.10+13.13+……+55.55+58.58原式=(1+4+7+10+13......+58)+(0.1+0.4+0.7)+(0.10+0.13……+0.55+0.58)=(1+58)*20/2+1.2+(0.10+0.58)* 17/2 =596.98

问题描述:

计算:1.1+4.4+7.7+10.10+13.13+……+55.55+58.58
原式=(1+4+7+10+13......+58)+(0.1+0.4+0.7)+(0.10+0.13……+0.55+0.58)
=(1+58)*20/2+1.2+(0.10+0.58)* 17/2 =596.98

1.1+4.4+7.7+10.10+13.13+……+55.55+58.58
= (1.1+4.4+7.7) + (10.10+13.13+……+55.55+58.58)
= 13.2 + (58.58+10.10)(58.58-10.10) / 3.03/2
= 13.2 + (58.58+10.10)*(58-10)*1.01 / 3.03/2
= 13.2 + (58.58+10.10)*(58-10) / 3/2
= 13.2 + (58.58+10.10)*48 / 6
= 13.2 + (58.58+10.10)*8
= 13.2 + 68.68*8
= 13.2 + 548.44
= 561.64

分开

原式=1+0.1+4+0.4+7+0.7+……+58+0.58
=1+4+7+10+……+58+(0.1+0.4+0.7)+(0.10+0.13+0.16+……+0.55+0.58)
=(1+58)×20÷2+1.2+(0.10+0.58)×17÷2
=590+1.2+5.78
=598.98