问题 解答题
简便运算
(1)
3
5
×18-7×
3
5
-
3
5
(2)99×
97
98
(3)9.99×22.2+33.3×3.34(4)
1
3
+
1
15
+
1
35
+
1
63
+
1
99
+
1
143
答案

(1)

3
5
×18-7×
3
5
-
3
5

=

3
5
×(18-7-1),

=

3
5
×10,

=6;

(2)99×

97
98

=(98+1)×

97
98

=98×

97
98
+1×
97
98

=97+

97
98

=97

97
98

(3)9.99×22.2+33.3×3.34,

=19.98×11.1+11.1×10.02,

=(19.98+10.02)×11.1,

=30×11.1,

=333;

(4)

1
3
+
1
15
+
1
35
+
1
63
+
1
99
+
1
143

=[(1-

1
3
)+(
1
3
-
1
5
)+(
1
5
-
1
7
)+(
1
7
-
1
9
)+(
1
9
-
1
11
)+(
1
11
-
1
13
)]×
1
2

=[1-

1
13
1
2

=

12
13
×
1
2

=

6
13

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