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)×(1-199)-数学

题文

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
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…×(1+
1
99
)×(1-
1
99
题型:解答题  难度:中档

答案

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

据专家权威分析,试题“计算下列各题.(1)(102.5×56+77.5×24)÷304(2)999×222+333×334(3..”主要考查你对  整数的乘除混合计算及应用  等考点的理解。关于这些考点的“档案”如下:

整数的乘除混合计算及应用

考点名称:整数的乘除混合计算及应用

  • 学习目标:
    理解连乘,连除及混合运算应用题的数量关系,掌握解答方法,进一步掌握所学的运算顺序。

  • 方法点拨:
    乘除法是第二级运算,整数乘除混合计算的顺序是从左到右依次计算。