一、填空题
1. $25×(-1.58)÷\sqrt[3]{\dfrac{1}{64}}=$
2. $(-84)÷(-7+\sqrt{16})-(-3)^2=$
3. $(-5)-(-5)×\sqrt[3]{\dfrac{1}{125}}=$
4. $3.35+\sqrt[3]{-0.216}-1.35=$
5. 一题多解 $-99\dfrac{8}{9}×\sqrt{81}=$
6. $36.9×(-\dfrac{1}{5})-73.1÷\sqrt[3]{125}=$
7. $\sqrt[3]{-\dfrac{1}{27}}+|2-\sqrt{3}|+\sqrt{(-\dfrac{1}{3})^2}=$
8. $\sqrt{4}+(π-3.14)^0-(\dfrac{1}{3})^{-1}+\sqrt[3]{27}=$
1. $25×(-1.58)÷\sqrt[3]{\dfrac{1}{64}}=$
-158
2. $(-84)÷(-7+\sqrt{16})-(-3)^2=$
19
3. $(-5)-(-5)×\sqrt[3]{\dfrac{1}{125}}=$
-4
4. $3.35+\sqrt[3]{-0.216}-1.35=$
1.4
5. 一题多解 $-99\dfrac{8}{9}×\sqrt{81}=$
-899
6. $36.9×(-\dfrac{1}{5})-73.1÷\sqrt[3]{125}=$
-22
7. $\sqrt[3]{-\dfrac{1}{27}}+|2-\sqrt{3}|+\sqrt{(-\dfrac{1}{3})^2}=$
2-√3
8. $\sqrt{4}+(π-3.14)^0-(\dfrac{1}{3})^{-1}+\sqrt[3]{27}=$
3
答案
1. -158
2. 19
3. -4
4. 1.4
5. -899
解析:解法一 $-99\dfrac{8}{9}×\sqrt{81}=-99\dfrac{8}{9}×9=-\dfrac{899}{9}×9=-899.$
解法二 $-99\dfrac{8}{9}×\sqrt{81}=-99\dfrac{8}{9}×9=-(100-\dfrac{1}{9})×9=-(100×9-\dfrac{1}{9}×9)=-(900-1)=-899.$
6. -22
7. $2-\sqrt{3}$
8. 3
2. 19
3. -4
4. 1.4
5. -899
解析:解法一 $-99\dfrac{8}{9}×\sqrt{81}=-99\dfrac{8}{9}×9=-\dfrac{899}{9}×9=-899.$
解法二 $-99\dfrac{8}{9}×\sqrt{81}=-99\dfrac{8}{9}×9=-(100-\dfrac{1}{9})×9=-(100×9-\dfrac{1}{9}×9)=-(900-1)=-899.$
6. -22
7. $2-\sqrt{3}$
8. 3
二、计算题
9. $(-\sqrt{36}) ×(-3)+2 ×(-4)$
10. $\sqrt[3]{-512} ÷ \dfrac{1}{2} × 2-4$
11. $|-2| ×[\sqrt[3]{8}-(-3)]-\sqrt{289}$
12. $-9-[5-(-44) ÷ \sqrt{4}] ÷ \sqrt[3]{729}$
13. $[(-7)-\sqrt[3]{-8}] × \sqrt{9}+(-\dfrac{1}{6}) ÷(-\dfrac{1}{12})$
14. $(\dfrac{1}{2}-\sqrt[3]{\dfrac{1}{27}}) ÷(-\sqrt{\dfrac{1}{36}})+(-2)^3 ×(-6)$
15. $[(-5) ×(-\dfrac{5}{8})-19 ×(-\sqrt{\dfrac{25}{64}})] ÷ \sqrt[3]{-27}$
16. $(-\dfrac{1}{2}-\sqrt[3]{64}+\sqrt{\dfrac{49}{144}}-\dfrac{5}{6}) ÷(-\dfrac{1}{12})+\sqrt[3]{-5}+|-\sqrt[3]{5}|$
9. $(-\sqrt{36}) ×(-3)+2 ×(-4)$
10. $\sqrt[3]{-512} ÷ \dfrac{1}{2} × 2-4$
11. $|-2| ×[\sqrt[3]{8}-(-3)]-\sqrt{289}$
12. $-9-[5-(-44) ÷ \sqrt{4}] ÷ \sqrt[3]{729}$
13. $[(-7)-\sqrt[3]{-8}] × \sqrt{9}+(-\dfrac{1}{6}) ÷(-\dfrac{1}{12})$
14. $(\dfrac{1}{2}-\sqrt[3]{\dfrac{1}{27}}) ÷(-\sqrt{\dfrac{1}{36}})+(-2)^3 ×(-6)$
15. $[(-5) ×(-\dfrac{5}{8})-19 ×(-\sqrt{\dfrac{25}{64}})] ÷ \sqrt[3]{-27}$
16. $(-\dfrac{1}{2}-\sqrt[3]{64}+\sqrt{\dfrac{49}{144}}-\dfrac{5}{6}) ÷(-\dfrac{1}{12})+\sqrt[3]{-5}+|-\sqrt[3]{5}|$
答案
9. 10
10. -36
11. -7
12. -12
13. -13
14. 47
15. -5
16. 57
10. -36
11. -7
12. -12
13. -13
14. 47
15. -5
16. 57
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