问题 解答题
能简便的用简便方法计算
(5.6-1.6÷2)×2.5
8
17
×9-8÷
17
8
2001÷
1998
1999
2
2×5
+
2
5×8
+
2
8×11
+…+
2
1991×1994
答案

(1)(5.6-1.6÷2)×2.5,

=(5.6-0.8)×2.5,

=4.8×2.5,

=1.2×4×2.5,

=1.2×(4×2.5),

=1.2×10,

=12;

(2)

8
17
×9-8÷
17
8

=

8
17
×9-8×
8
17

=

8
17
×(9-8),

=

8
17
×1,

=

8
17

(3)2001÷

1998
1999

=2001×

1999
1998

=2001×

1998+1
1998

=2001×(1+

1
1998
),

=2001+

2001
1998

=2001+1

1
666

=2002

1
666

(4)

2
2×5
+
2
5×8
+
2
8×11
+…+
2
1991×1994

=

3-1
2×5
+
3-1
5×8
+
3-1
8×11
+…+
3-1
1991×1994

=(

3
2×5
+
3
5×8
+
3
8×11
+…+
3
1991×1994
)-(
1
2×5
+
1
5×8
+
1
8ו11
+…+
1
1991×1994
),

=(

1
2
-
1
5
+
1
5
-
1
8
+
1
8
-
1
11
+…+
1
1991
-
1
1994
)-
1
3
×(
1
2
-
1
5
+
1
5
-
1
8
+
1
8
-
1
11
+…+
1
1991
-
1
1994
),

=(

1
2
-
1
1994
)-
1
3
×(
1
2
-
1
1994
),

=(

1
2
-
1
1994
)×(1-
1
3
),

=

996
1994
×
2
3

=

332
997

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