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(2012•乐清市)计算下列各题.(1)(102.5×56+77.5×24)÷304(2)999×222+333×334(3)1.44÷[1.2×(0.832+0.368)](4)32.6×51.4+674×5.14(5)(1+12)×(1-12)×(1+13)×(1-13)×…×(1+199)×(
题目详情
(2012•乐清市)计算下列各题.
(1)(102.5×56+77.5×24)÷304
(2)999×222+333×334
(3)1.44÷[1.2×(0.832+0.368)]
(4)32.6×51.4+674×5.14
(5)(1+
)×(1-
)×(1+
)×(1-
)×…×(1+
)×(1-
)
(1)(102.5×56+77.5×24)÷304
(2)999×222+333×334
(3)1.44÷[1.2×(0.832+0.368)]
(4)32.6×51.4+674×5.14
(5)(1+
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
▼优质解答
答案和解析
(1)(102.5×56+77.5×24)÷304,
=(102.5×7×8+77.5×3×8)÷304,
=(717.5+232.5)×8÷304,
=950×8÷304,
=25;
(2)999×222+333×334,
=333×3×222+333×334,
=333×(666+334),
=333×1000,
=333000;
(3)1.44÷[1.2×(0.832+0.368)],
=1.44÷[1.2×1.2],
=1.44÷1.44,
=1;
(4)32.6×51.4+674×5.14,
=326×5.14+674×5.14,
=(326×+674)×5.14,
=1000×5.14,
=5140;
(5)(1+
)×(1-
)×(1+
)×(1-
)×…×(1+
)×(1-
),
=
×
×
×
×…×
×
,
=(3×1×4×2×5×3×6×4×…×99×97×100×98)÷(2×3×4×5×…×98×99)2,
=100÷(2×99),
=
.
=(102.5×7×8+77.5×3×8)÷304,
=(717.5+232.5)×8÷304,
=950×8÷304,
=25;
(2)999×222+333×334,
=333×3×222+333×334,
=333×(666+334),
=333×1000,
=333000;
(3)1.44÷[1.2×(0.832+0.368)],
=1.44÷[1.2×1.2],
=1.44÷1.44,
=1;
(4)32.6×51.4+674×5.14,
=326×5.14+674×5.14,
=(326×+674)×5.14,
=1000×5.14,
=5140;
(5)(1+
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
=
3 |
2 |
1 |
2 |
4 |
3 |
2 |
3 |
100 |
99 |
98 |
99 |
=(3×1×4×2×5×3×6×4×…×99×97×100×98)÷(2×3×4×5×…×98×99)2,
=100÷(2×99),
=
50 |
99 |
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