问题 解答题
用简便方法计算下面各题.
(1)(
1
5
+
2
7
)×5×7
(2)999
8
9
+99
8
9
+9
8
9
+
1
3

(3)444
4
5
×1.25

(4)231÷231
231
232
答案

(1)(

1
5
+
2
7
)×5×7

=

1
5
×5×7+
2
7
×5×7,

=7+10,

=17;

(2)999

8
9
+99
8
9
+9
8
9
+
1
3

=(1000-

1
9
)+(100-
1
9
)+(10-
1
9
)+
1
3

=(1000+100+10)-

1
9
×3+
1
3

=1110-(

1
3
-
1
3
),

=1110;

(3)444

4
5
×1.25

=(444+

4
5
)×
5
4

=444×

5
4
+
4
5
×
5
4

=555+1,

=556;

(4)231÷231

231
232

=231÷

232×231+231
232

=231×

232
(232+1)×231

=

232
233

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