问题 填空题
(1)(
3
5
+
2
5
)×15=______×______+______×______
(2)
1
2
×
1
3
+
1
2
×
1
3
=______×(______+______)
(3)(
1
10
+
1
5
)×5=______+______
(4)100×
23
99
=(99+1)×
23
99
=______+______=______.
答案

(1)(

3
5
+
2
5
)×15,

=

3
5
×15+
2
5
×15,

=9+6,

=15;

(2)

1
2
×
1
3
+
1
2
×
1
3

=

1
3
×(
1
2
+
1
2
),

=

1
3
×1,

=

1
3

(3)(

1
10
+
1
5
)×5,

=

1
10
×5+
1
5
×5,

=

1
2
+1,

=1

1
2

(4)100×

23
99

=(99+1)×

23
99

=99×

23
99
+1×
23
99

=23+

23
99

=23

23
99

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