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几道数学计算题,计算(要写过程)(-1/3)+(+1/2)+(-2/3)+(+4/5)+(-1/2)(+13又1/23)+(-55又1/33)+(+7又21/46)+(-14又5/60)(+0.75)+(-1又7/120)(+5/8)+(-0.675)2+(-4)+6(-8)+...+18+(-20)1+2+3+...1997+1998+1999(-2/3)-(+1/6)-(-1/4)-(+1/2)(-4又5/6

题目详情
几道数学计算题,
计算(要写过程)
(-1/3)+(+1/2)+(-2/3)+(+4/5)+(-1/2)
(+13又1/23)+(-55又1/33)+(+7又21/46)+(-14又5/60)
(+0.75)+(-1又7/120)
(+5/8)+(-0.675)
2+(-4)+6(-8)+...+18+(-20)
1+2+3+...1997+1998+1999
(-2/3)-(+1/6)-(-1/4)-(+1/2)
(-4又5/6)-(+3又3/5)-(-3又1/6)-(+1又1/5)
▼优质解答
答案和解析
(-1/3)+(+1/2)+(-2/3)+(+4/5)+(-1/2)
=-1/3+1/2-2/3+4/5-1/2
=-1/3-2/3+4/5
=-1+4/5
=-1/5
(+13又1/23)+(-55又1/33)+(+7又21/46)+(-14 又5/60)
=13 1/23-55 1/33+7 21/46-14 5/60
=1又17/44
(+0.75)+(-1又7/120)
=0.75-1 7/120
=-37/120
(+5/8)+(-0.675)
=5/8-0.675
=-0.05
2+(-4)+6(-8)+...+18+(-20)
每两个数相加等于2,20/2=10
1+2+3+...1997+1998+1999
1-2+3-4+5-6+.+1997-1998+1999
=(1-2)+(3-4)+(5-6).+(1997-1998)+1999
=(1998/2)*(-1)+1999
=999*(-1)+1999
=-999+1999
=1000

(-2/3)-(+1/6)-(-1/4)-(+1/2)
=-2/3-1/6+1/4-1/2
=-1 1/3+1/4
=-1又1/12

(-4又5/6)-(+3又3/5)-(-3又1/6)-(+1又1/5)
=-4 5/6-3 3/5+3 1/6-1 1/5
=-4 5/6+3 1/6-3 3/5-1 1/5
=-12 4/5