[文字サイズの変更]
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▲
©2025 数学クラブ http://sugaku.club/
月 日( )
● 乗法の結合法則
[06J-00]
(1)
{
(
+
1
)
×
(
+
3
)
}
×
(
−6
)
=
(
+
1
)
×
{
(
+
3
)
×
(
)
}
=
(
+
1
)
×
(
)
(2)
{
(
−5
)
×
(
−8
)
}
×
(
+
10
)
=
(
−5
)
×
{
(
−8
)
×
(
)
}
=
(
−5
)
×
(
)
(3)
{
(
+
4
)
×
(
+
9
)
}
×
(
−8
)
=
(
)
×
{
(
+
9
)
×
(
−8
)
}
=
(
+
4
)
×
(
)
(4)
{
(
−1
)
×
(
−9
)
}
×
(
+
9
)
=
(
)
×
{
(
−9
)
×
(
+
9
)
}
=
(
−1
)
×
(
)
(5)
{
(
−8
)
×
(
+
7
)
}
×
(
+
3
)
=
(
)
×
{
(
+
7
)
×
(
+
3
)
}
=
(
−8
)
×
(
)
(6)
{
(
+
6
)
×
(
−5
)
}
×
(
+
5
)
=
(
)
×
{
(
−5
)
×
(
+
5
)
}
=
(
+
6
)
×
(
)
(7)
{
(
−8
)
×
(
+
7
)
}
×
(
−3
)
=
(
−8
)
×
{
(
+
7
)
×
(
)
}
=
(
−8
)
×
(
)
©2025 数学クラブ http://sugaku.club/
月 日( )
【解答例】
(1)
{
(
+
1
)
×
(
+
3
)
}
×
(
−6
)
−6
=
(
+
1
)
×
{
(
+
3
)
×
(
)
}
−18
=
(
+
1
)
×
(
)
(2)
{
(
−5
)
×
(
−8
)
}
×
(
+
10
)
+
10
=
(
−5
)
×
{
(
−8
)
×
(
)
}
−80
=
(
−5
)
×
(
)
(3)
{
(
+
4
)
×
(
+
9
)
}
×
(
−8
)
+
4
=
(
)
×
{
(
+
9
)
×
(
−8
)
}
−72
=
(
+
4
)
×
(
)
(4)
{
(
−1
)
×
(
−9
)
}
×
(
+
9
)
−1
=
(
)
×
{
(
−9
)
×
(
+
9
)
}
−81
=
(
−1
)
×
(
)
(5)
{
(
−8
)
×
(
+
7
)
}
×
(
+
3
)
−8
=
(
)
×
{
(
+
7
)
×
(
+
3
)
}
+
21
=
(
−8
)
×
(
)
(6)
{
(
+
6
)
×
(
−5
)
}
×
(
+
5
)
+
6
=
(
)
×
{
(
−5
)
×
(
+
5
)
}
−25
=
(
+
6
)
×
(
)
(7)
{
(
−8
)
×
(
+
7
)
}
×
(
−3
)
−3
=
(
−8
)
×
{
(
+
7
)
×
(
)
}
−21
=
(
−8
)
×
(
)