问题 解答题
(1)(111+999)÷[56×(
3
7
-
3
8
)]
(2)200.5×10%+2.005×490+0.2005×5000
(3)3333×3333+9999×8889
(4)
1
1×4
+
1
4×7
+
1
7×10
+…+
1
97×100

(5)若3.5×[6.8-(1.6+△÷0.9)÷8.4=0.5,求△的值.
答案

(1))(111+999)÷[56×(

3
7
-
3
8
)]

=1110÷[56×

3
7
-56×
3
8
]

=1110÷[24-21]

=1110÷3

=370

(2)200.5×10%+2.005×490+0.2005×5000

=20.05×1+20.05×49+20.05×50

=2005

(3)3333×3333+9999×8889

=1111×9999+9999×8889

=9999×10000

=99990000  

(4)

1
1×4
+
1
4×7
+
1
7×10
+…+
1
97×100

=(1-

1
4
+
1
4
-
1
4
+
1
7
-
1
10
+…+
1
97
-
1
100
)×
1
3

=

99
100
×
1
3

=

33
100

(5)由3.5×[6.8-(1.6+△÷0.9)÷8.4=0.5,

可知3.5×[6.8-(1.6+△÷0.9)=0.5×8.4=4.2,

6.8-(1.6+△÷0.9)=4.4÷3.5=1.2,

(1.6+△÷0.9)=6.8-1.2=5.6

△÷0.9=5.6-1.6=4,

△=4×0.9=3.6.

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