1. 计算:
(1)$-3^{2}÷3-\frac {2}{3}×12$; (2)$4×(-\frac {3}{2})^{2}-5÷\frac {1}{2}×(-2)$;
(3)$(-\frac {1}{2})^{2}×2^{3}-(-1)^{3}×6$; (4)$(-2)^{2}+(4-7)÷\frac {3}{2}-|-1|$;
(5)$-2^{2}÷(-4)-3×(-1)^{2}-(-4)$; (6)$-3^{2}÷(-2)^{3}×|-1\frac {1}{3}|×6+(-2)^{4}$.
(1)$-3^{2}÷3-\frac {2}{3}×12$; (2)$4×(-\frac {3}{2})^{2}-5÷\frac {1}{2}×(-2)$;
(3)$(-\frac {1}{2})^{2}×2^{3}-(-1)^{3}×6$; (4)$(-2)^{2}+(4-7)÷\frac {3}{2}-|-1|$;
(5)$-2^{2}÷(-4)-3×(-1)^{2}-(-4)$; (6)$-3^{2}÷(-2)^{3}×|-1\frac {1}{3}|×6+(-2)^{4}$.
答案:(1)-11 (2)29 (3)8 (4)1 (5)2 (6)25
解析:
(1)解:原式$=-9÷3 - 8$
$=-3 - 8$
$=-11$
(2)解:原式$=4×\frac{9}{4}-5×2×(-2)$
$=9 + 20$
$=29$
(3)解:原式$=\frac{1}{4}×8 - (-1)×6$
$=2 + 6$
$=8$
(4)解:原式$=4 + (-3)×\frac{2}{3}-1$
$=4 - 2 - 1$
$=1$
(5)解:原式$=-4÷(-4)-3×1 + 4$
$=1 - 3 + 4$
$=2$
(6)解:原式$=-9÷(-8)×\frac{4}{3}×6 + 16$
$=\frac{9}{8}×\frac{4}{3}×6 + 16$
$=\frac{3}{2}×6 + 16$
$=9 + 16$
$=25$
$=-3 - 8$
$=-11$
(2)解:原式$=4×\frac{9}{4}-5×2×(-2)$
$=9 + 20$
$=29$
(3)解:原式$=\frac{1}{4}×8 - (-1)×6$
$=2 + 6$
$=8$
(4)解:原式$=4 + (-3)×\frac{2}{3}-1$
$=4 - 2 - 1$
$=1$
(5)解:原式$=-4÷(-4)-3×1 + 4$
$=1 - 3 + 4$
$=2$
(6)解:原式$=-9÷(-8)×\frac{4}{3}×6 + 16$
$=\frac{9}{8}×\frac{4}{3}×6 + 16$
$=\frac{3}{2}×6 + 16$
$=9 + 16$
$=25$
2. 用合适的方法计算下列各题:
(1)$-6×(-\frac {15}{17})+14×(-\frac {15}{17})-9×(-\frac {15}{17})$; (2)$(3\frac {1}{8})^{12}×(\frac {8}{25})^{11}×(-2)^{3}$;
(3)$48\frac {24}{25}÷(-48)$; (4)$(-\frac {5}{8})×(-4)^{2}-0.25×(-5)×(-4)^{3}$.
(1)$-6×(-\frac {15}{17})+14×(-\frac {15}{17})-9×(-\frac {15}{17})$; (2)$(3\frac {1}{8})^{12}×(\frac {8}{25})^{11}×(-2)^{3}$;
(3)$48\frac {24}{25}÷(-48)$; (4)$(-\frac {5}{8})×(-4)^{2}-0.25×(-5)×(-4)^{3}$.
答案:(1)$\frac{15}{17}$ (2)-25 (3)$-\frac{51}{50}$ (4)-90
解析:
(1)解:原式$=(-\frac{15}{17})×(-6 + 14 - 9)$
$=(-\frac{15}{17})×(-1)$
$=\frac{15}{17}$
(2)解:原式$=(\frac{25}{8})^{12}×(\frac{8}{25})^{11}×(-8)$
$=\frac{25}{8}×(\frac{25}{8}×\frac{8}{25})^{11}×(-8)$
$=\frac{25}{8}×1^{11}×(-8)$
$=\frac{25}{8}×(-8)$
$=-25$
(3)解:原式$=(48 + \frac{24}{25})×(-\frac{1}{48})$
$=48×(-\frac{1}{48}) + \frac{24}{25}×(-\frac{1}{48})$
$=-1 - \frac{1}{50}$
$=-\frac{51}{50}$
(4)解:原式$=(-\frac{5}{8})×16 - 0.25×(-5)×(-64)$
$=-10 - 80$
$=-90$
$=(-\frac{15}{17})×(-1)$
$=\frac{15}{17}$
(2)解:原式$=(\frac{25}{8})^{12}×(\frac{8}{25})^{11}×(-8)$
$=\frac{25}{8}×(\frac{25}{8}×\frac{8}{25})^{11}×(-8)$
$=\frac{25}{8}×1^{11}×(-8)$
$=\frac{25}{8}×(-8)$
$=-25$
(3)解:原式$=(48 + \frac{24}{25})×(-\frac{1}{48})$
$=48×(-\frac{1}{48}) + \frac{24}{25}×(-\frac{1}{48})$
$=-1 - \frac{1}{50}$
$=-\frac{51}{50}$
(4)解:原式$=(-\frac{5}{8})×16 - 0.25×(-5)×(-64)$
$=-10 - 80$
$=-90$