1. 填空:
(1)$-1^{2}+[(-4)^{2}-(2 + 3^{2})×2] =$
(3)$(-2)^{2}-2^{2}-\left|-\dfrac{1}{4}\right|×(-10)^{2} =$
(1)$-1^{2}+[(-4)^{2}-(2 + 3^{2})×2] =$
-7
; (2)$4 + (-2)^{3}×5 - (-0.28)÷4 =$-35.93
;(3)$(-2)^{2}-2^{2}-\left|-\dfrac{1}{4}\right|×(-10)^{2} =$
-25
; (4)$(-4)^{2}×(-2)÷[(-2)^{3}-(-4)] =$8
.
答案:
1.
(1)-7
(2)-35.93
(3)-25
(4)8
(1)-7
(2)-35.93
(3)-25
(4)8
2. 计算:
(1)$(-36)×\left(\dfrac{7}{12}-\dfrac{3}{4}-\dfrac{5}{9}\right)$; (2)$\left(1\dfrac{1}{2}+1\dfrac{1}{6}-1\dfrac{1}{12}\right)÷\left(-\dfrac{1}{12}\right)$;
(3)$1÷\left(1\dfrac{1}{6}-8\dfrac{3}{4}×\dfrac{2}{7}\right)+\dfrac{7}{18}÷\dfrac{14}{27}$; (4)$-3^{2}+\left(-2\dfrac{1}{2}\right)^{2}×\left(-\dfrac{4}{25}\right)+\left|-2^{2}\right|$;
(5)$0.25×(-2)^{3}-\left[4÷\left(-\dfrac{2}{3}\right)^{2}+1\right]$; (6)$\left(1\dfrac{5}{99}+3\dfrac{5}{33}+9\dfrac{5}{11}\right)÷\left(1\dfrac{1}{99}+3\dfrac{1}{33}+9\dfrac{1}{11}\right)$;
(7)$\left[(-1)^{5}÷\dfrac{4}{3}-\dfrac{1}{4}\right]×\left[1-\left(-\dfrac{1}{3}\right)^{2}\right]$; (8)$-3^{2}×\left(-\dfrac{1}{3}\right)^{2}+\left(\dfrac{3}{4}-\dfrac{1}{6}+\dfrac{3}{8}\right)×(-24)$;
(9)$(-3^{2}+3)×\left[(-1)^{2025}-\left(1 - 0.5×\dfrac{1}{3}\right)\right]$;
(10)$\dfrac{7}{3}÷\left(-\dfrac{7}{15}\right)-(-2)×[(-4)^{2}+2]+(-2)^{3}$;
(11)$(-1)^{2026}×\left(-\dfrac{2}{5}\right)^{2024}×2.5^{2025}$;
(12)$[(-0.125)×(-8)]^{2024}-\left(-1\dfrac{3}{4}\right)^{2025}×\left(\dfrac{4}{7}\right)^{2025}$.
(1)$(-36)×\left(\dfrac{7}{12}-\dfrac{3}{4}-\dfrac{5}{9}\right)$; (2)$\left(1\dfrac{1}{2}+1\dfrac{1}{6}-1\dfrac{1}{12}\right)÷\left(-\dfrac{1}{12}\right)$;
(3)$1÷\left(1\dfrac{1}{6}-8\dfrac{3}{4}×\dfrac{2}{7}\right)+\dfrac{7}{18}÷\dfrac{14}{27}$; (4)$-3^{2}+\left(-2\dfrac{1}{2}\right)^{2}×\left(-\dfrac{4}{25}\right)+\left|-2^{2}\right|$;
(5)$0.25×(-2)^{3}-\left[4÷\left(-\dfrac{2}{3}\right)^{2}+1\right]$; (6)$\left(1\dfrac{5}{99}+3\dfrac{5}{33}+9\dfrac{5}{11}\right)÷\left(1\dfrac{1}{99}+3\dfrac{1}{33}+9\dfrac{1}{11}\right)$;
(7)$\left[(-1)^{5}÷\dfrac{4}{3}-\dfrac{1}{4}\right]×\left[1-\left(-\dfrac{1}{3}\right)^{2}\right]$; (8)$-3^{2}×\left(-\dfrac{1}{3}\right)^{2}+\left(\dfrac{3}{4}-\dfrac{1}{6}+\dfrac{3}{8}\right)×(-24)$;
(9)$(-3^{2}+3)×\left[(-1)^{2025}-\left(1 - 0.5×\dfrac{1}{3}\right)\right]$;
(10)$\dfrac{7}{3}÷\left(-\dfrac{7}{15}\right)-(-2)×[(-4)^{2}+2]+(-2)^{3}$;
(11)$(-1)^{2026}×\left(-\dfrac{2}{5}\right)^{2024}×2.5^{2025}$;
(12)$[(-0.125)×(-8)]^{2024}-\left(-1\dfrac{3}{4}\right)^{2025}×\left(\dfrac{4}{7}\right)^{2025}$.
答案:
2.
(1)解:原式=26.
(2)解:原式=-19.
(3)解:原式=0.
(4)解:原式=-6.
(5)解:原式=-12.
(6)解:原式$=\frac{26}{25}.$
(7)解:原式$=-\frac{8}{9}.$
(8)解:原式=-24.
(9)解:原式=11.
(10)解:原式=23.
(11)解:原式=2.5.
(12)解:原式=2.
(1)解:原式=26.
(2)解:原式=-19.
(3)解:原式=0.
(4)解:原式=-6.
(5)解:原式=-12.
(6)解:原式$=\frac{26}{25}.$
(7)解:原式$=-\frac{8}{9}.$
(8)解:原式=-24.
(9)解:原式=11.
(10)解:原式=23.
(11)解:原式=2.5.
(12)解:原式=2.
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