计算: 200.8×73-6.3×2008 9999×2222+3333×3334 (1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…(1+1/99)×(1-1/99)

问题描述:

计算:
200.8×73-6.3×2008        
9999×2222+3333×3334
(1+

1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…(1+
1
99
)×(1-
1
99

①200.8×73-6.3×2008 
=2008×7.3-6.3×2008
=2008×(7.3-6.3)
=2008×1
=2008;
       
②9999×2222+3333×3334
=3333×6666+3333×3334
=3333×(6666+3334)
=3333×10000
=33330000;
③(1+

1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…(1+
1
99
)×(1-
1
99

=
3
2
×
1
2
×
4
3
×
2
3
×…×
99
98
×
97
98
×
100
99
×
98
99

=
100
2×99

=
50
99