问题 解答题
计算,能简便计算的要简便计算.
(1)
1
30
+
1
42
+
1
56
+
1
72
+
1
90
(2)1998÷1998
1998
1999
(3)(9+92+93)×0.01(4)13.5×[1.5×(1.07+1.93)]
(5)
1
12
+
11
12
×(
5
2
-
1
3
(6)(333+667)÷[63×(
4
7
-
4
9
)].
答案

(1)

1
30
+
1
42
+
1
56
+
1
72
+
1
90

=(

1
5
-
1
6
)+(
1
6
-
1
7
)+(
1
7
-
1
8
)+(
1
8
-
1
9
)+(
1
9
-
1
10

=

1
5
-
1
10

=

1
10

(2)1998÷1998

1998
1999

=1998÷

1998×1999+1998
1999

=1998×

1999
1998×2000

=

1999
2000

(3)(9+92+93)×0.01

=[9+9×(9+9×9)]×0.01,

=[9+9×(9+81)]×0.01,

=[9+9×90]×0.01,

=[9+810]×0.01,

=819×0.01,

=8.19

(4)13.5×[1.5×(1.07+1.93)]

=13.5×[1.5×3]

=13.5×4.5

=60.75

(5)

1
12
+
11
12
×(
5
2
-
1
3

=

1
12
+
11
12
×
13
6

=

1
12
+
143
72

=

149
72

(6))(333+667)÷[63×(

4
7
-
4
9
)]

=1000÷[63×

4
7
-63×
4
9
]

=1000÷[36-28]

=1000÷8

=125

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