问题 解答题
计算:
(1)0.027-
1
3
-(-
1
7
)-2+(2
7
9
)
1
2
-(
2
-1)0

(2)(lg8+lg1000)lg5+3(lg2)2+lg6-1+lg0.006.
答案

(1)0.027-

1
3
-(-
1
7
)
-2
+(2
7
9
)
1
2
-(
2
-1)
0
=(0.33)-
1
3
-
1
(-
1
7
)2
+(
25
9
)
1
2
-1
=
10
3
-49+
5
3
-1
=-45;

(2)(lg8+lg1000)lg5+3(lg2)2+lg6-1+lg0.006=(3lg2+3)•lg5+3(lg2)2-lg6+(lg6-3)=3lg2•lg5+3lg5+3(lg2)2-3

=3lg2(lg5+lg2)+3lg5-3=3lg2+3lg5-3=3-3=0.

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