问题 解答题
能简算的要简算
99×
99
98
-
1
98
(1.25+
7
8
)×8×
7
34
1
2×3
+
1
3×4
+
1
4×5
+…+
1
99×100
3.6×42.3×3.75-12.5×0.423×28.
答案

(1)99×

99
98
-
1
98

=(98+1)×

99
98
-
1
98

=99+

99
98
-
1
98

=99+(

99
98
-
1
98
),

=99+1,

=100;

(2)(1.25+

7
8
)×8×
7
34

=(1

1
4
+
7
8
)×8×
7
34

=

17
8
×8×
7
34

=

7
2

(3)

1
2×3
+
1
3×4
+
1
4×5
+…+
1
99×100

=

1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+…+
1
99
-
1
100

=

1
2
1
100

=

49
100

(4)3.6×42.3×3.75-12.5×0.423×28,

=0.9×4×42.3×3.75-0.125×42.3×7×4,

=0.9×42.3×4×3.75-0.125×4×42.3×7,

=0.9×42.3×15-0.5×42.3×7,

=42.3×(0.9×15-0.5×7),

=42.3×(13.5-3.5),

=42.3×10,

=423.

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