题目内容
计算:
(1)0.027-
-(-
)-2+(2
)
-(
-1)0;
(2)(lg8+lg1000)lg5+3(lg2)2+lg6-1+lg0.006.
(1)0.027-
| 1 |
| 3 |
| 1 |
| 7 |
| 7 |
| 9 |
| 1 |
| 2 |
| 2 |
(2)(lg8+lg1000)lg5+3(lg2)2+lg6-1+lg0.006.
(1)0.027-
-(-
)-2+(2
)
-(
-1)0=(0.33)-
-
+(
)
-1=
-49+
-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.
| 1 |
| 3 |
| 1 |
| 7 |
| 7 |
| 9 |
| 1 |
| 2 |
| 2 |
| 1 |
| 3 |
| 1 | ||
(-
|
| 25 |
| 9 |
| 1 |
| 2 |
| 10 |
| 3 |
| 5 |
| 3 |
(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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