问题 解答题
(1)0.192×12.5+2.67÷
4
5
-1.25×3.59
(2)
1
6
+
1
12
+
1
20
+
1
30
+
1
42

(3)1÷(2÷3)÷(3÷4)÷(4÷5)÷(5÷6)
(4)246×321963÷123369+19941994÷19.94
(5)
1
55
+
2
55
+…+
10
55
-
11
155
-
12
155
-…-
20
155
答案

(1)0.192×12.5+2.67÷

4
5
-1.25×3.59,

=1.92×1.25+2.67×1.25-1.25×3.59,

=(1.92+2.67-3.59)×1.25,

=1×1.25,

=1.25;

(2)

1
6
+
1
12
+
1
20
+
1
30
+
1
42

=(

1
2
-
1
3
)+(
1
3
-
1
4
)+(
1
4
-
1
5
)+(
1
5
-
1
6
)+(
1
6
-
1
7
),

=

1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+
1
5
-
1
6
+
1
6
-
1
7

=

1
2
-
1
7

=

5
14

(3)1÷(2÷3)÷(3÷4)÷(4÷5)÷(5÷6),

=1÷2×(3÷3)×(4÷4)×(5÷5)×6,

=3;

(4)246×321963÷123369+19941994÷19.94,

=

123×2×321963
123×1003
+1000100,

=642+1000100,

=1000742.

(5)

1
55
+
2
55
+…+
10
55
-
11
155
-
12
155
-…-
20
155

=(

1+2+3+4+5+6+7+8+9+10
55
)-(
11+12+13+14+15+16+17+18+19+20
155
),

=

55
55
-
155
155

=1-1,

=0.

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