问题 解答题
计算下列各题
(1)-23÷(-
1
2
)2+9×(-
1
3
)3-(-1)100

(2)199
198
199
×(-5)

(3)[3
1
3
÷(-
2
3
1
5
]4-2×(-3)3-(-5)2

(4)-0.52+(-
1
2
)2-|-22-4|-(-1
1
2
)3×(
1
3
)3÷(-
1
2
)4
答案

(1)-23÷(-

1
2
)2+9×(-
1
3
)
3
-(-1)100

=-8÷

1
4
+9×(-
1
27
)-1

=-8×4+(-

1
3
)-1

=(-32)+(-1)+(-

1
3

=-33

1
3

(2)199

198
199
×(-5)

=(200-

1
199
)×(-5)

=200×(-5)+(-

1
199
)×(-5)

=-1000+

5
199

=-(1000-

5
199

=-999

194
199

(3)[3

1
3
÷(-
2
3
1
5
]4-2×(-3)3-(-5)2

=[

10
3
×(-
3
2
)×
1
5
]4-2×(-27)-25

=(-1)4+54-25

=1+54-25

=55-25

=30;

(4)-0.52+(-

1
2
)2-|-22-4|-(-1
1
2
)
3
×(
1
3
)
3
÷(-
1
2
)
4

=-0.25+

1
4
-|-4-4|-
27
8
×
1
27
÷
1
16

=-0.25+0.25-8-

1
8
×16,

=-8-2

=(-8)+(-2)

=-10.

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