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+
)×(1-1 2
)×(1+1 2
)×(1-1 3
)×…(1+1 3
)×(1-1 99
) 1 99
答
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+
)×(1-1 2
)×(1+1 2
)×(1-1 3
)×…(1+1 3
)×(1-1 99
)1 99
=
×3 2
×1 2
×4 3
×…×2 3
×99 98
×97 98
×100 99
98 99
=
100 2×99
=
.50 99