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(5)3又1/6×(3又1/7-7又1/3)×6/19÷1又1/21
=(19/6×6/19)×(22/7-22/3)×21/22
=22/7×21/22-22/3×21/22
=3-7
=-4
(6)(-12又2/3)÷1.2-(-8又1/3)÷(-1.2)+(+10又1/3)÷1.2
=(-12又2/3+8又1/3+10又1/3)÷1.2
=6÷1.2
=5
(7)13.7×(-12)-13.7×70+1370×(-0.18)
=13.7×(-12)-13.7×70+13.7×(-18)
=13.7×(-12-70-18)
=13.7×(-100)
=-1370
(8)裂项法:
1/2+1/6+1/12+……+1/90+1/110+1/132
=1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10+1/10-1/11+1/11-1/12
=1-1/12
=11/12
(9)(1又3/4-7/8-7/12)÷(-7/8)+(-7/8)÷(1又3/4-7/8-7/12)
=7/24÷(-7/8)-7/8÷7/24
=-1/3-3
=-3又1/3
(10)(-1/2)³-[(1/2)³÷(-1)-1/16]×(-2)÷(-1)的2004次方
=-1/8-[1/8÷(-1)-1/16]×(-2)÷1
=-1/8-[-1/8-1/16]×(-2)
=-1/8+3/16×(-2)
=-1/8-3/8
=-1/2
=(19/6×6/19)×(22/7-22/3)×21/22
=22/7×21/22-22/3×21/22
=3-7
=-4
(6)(-12又2/3)÷1.2-(-8又1/3)÷(-1.2)+(+10又1/3)÷1.2
=(-12又2/3+8又1/3+10又1/3)÷1.2
=6÷1.2
=5
(7)13.7×(-12)-13.7×70+1370×(-0.18)
=13.7×(-12)-13.7×70+13.7×(-18)
=13.7×(-12-70-18)
=13.7×(-100)
=-1370
(8)裂项法:
1/2+1/6+1/12+……+1/90+1/110+1/132
=1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10+1/10-1/11+1/11-1/12
=1-1/12
=11/12
(9)(1又3/4-7/8-7/12)÷(-7/8)+(-7/8)÷(1又3/4-7/8-7/12)
=7/24÷(-7/8)-7/8÷7/24
=-1/3-3
=-3又1/3
(10)(-1/2)³-[(1/2)³÷(-1)-1/16]×(-2)÷(-1)的2004次方
=-1/8-[1/8÷(-1)-1/16]×(-2)÷1
=-1/8-[-1/8-1/16]×(-2)
=-1/8+3/16×(-2)
=-1/8-3/8
=-1/2
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