Home ▸ Esercizi svolti ▸ Espressioni numeriche

Espressioni numeriche svolte passo passo, con numeri interi, frazioni, numeri decimali, periodici e non, numeri relativi, per la secondaria di primo grado (ex scuola media) e per il primo anno della secondaria di secondo grado.

1. Calcolare il valore del polinomio  $x^3 – 2x^2 + 4x – 5 $    per i seguenti valori di x:….

2. Semplificare la seguente espressione logaritmica: $$  log_\left(\frac{1}{5} \right) \sqrt[3]{ \frac{\sqrt[4]{125 \sqrt{5}}}{5 \sqrt[4]{25 \sqrt{5}}} }$$

3. Semplificare la seguente espressione logaritmica: $$   log_\left(\frac{1}{2} \right) \sqrt[5]{ \frac{\frac{1}{4} · \sqrt[3]{ 2 \sqrt{8}}}{2 \sqrt{2}} }$$

4. Semplificare la seguente espressione logaritmica: $ 2 (log(2) – 1/2 log(3)) + 1/2 (log(3) – 3 log(2)) $

5. Semplificare la seguente espressione logaritmica: $$ log_5 \left(\sqrt[3]{25 \sqrt[5]{5 \sqrt{5}}} \right)$$

6. Semplificare la seguente espressione logaritmica: $$ log_3 (\sqrt[5]{27 \sqrt[3]{3}}) $$    

7. $ frac(log_(sqrt2) 5 – log_2 (25))(log_4 (5)) + frac(log_3(2) + 4log_9(4))(log_(27) (8)) $

8. $$  \frac{ \sqrt[n]{2 + \sqrt{3}} · \sqrt[2n]{(\sqrt{3} – 2)^2} + \sqrt[2]{(1 – \sqrt{3})^2}}{\sqrt{3} – 2} · \frac{1}{\sqrt{3}} – \frac{1}{\sqrt{3} – 1} $$

9. $$ \left[\frac{3 \sqrt{12} – 3 \sqrt{2}}{\sqrt{18}} + \sqrt[4]{(\frac{3}{2})^2} · (\sqrt{6} – 2)\right] · \frac{1}{(\sqrt{2} – 2)^2} $$

10. ${[(2/5)^4xx(15/4)^4xx(1/9)^4]^(-2):(1/6)^(-6)xx6^(-2)}/{(-2/3)^2xx(-1)^7xx(-3/2)^4}$

11. ${[(-12/5)^(-8):(-4/5)^(-8)]^(-3):[15^5xx(-1/5)^5]^4}^3xx[(1/3)^(-2)]^(-6)$

12. ${[(1+2/5-1/2)^2:(-9/10)^2+(-2+5/3)^2]^2:(-10/9)^2}^4-3+2/5$

13. $[(-1/3+5/7-1/2)xx21/20-1/4]xx(-1+1/11)xx{4/5-[1-(-2-3/5)]-(-1+2/5)}$

14. $[(-5)^2xx(-5)^3:(-5)^4]^2-(8-2^2-3^2)xx(5^6:5^4-30)$

15. $-[-3^2:(-3)]^3xx[2-5+(-3)xx(-2)]:[3^2xx(-3)]$

16. ${[(-21)^2]^3}^6:{[(-21)^5]^2}^3xx[(-21)^6]^7:[(-21)^8]^5}$

17. $(1+1/5-13/15)+[3-(7/4+1/2)+(3/4+2/6)+1/5]-11/6$

18. $[(7/6-1/4):1/4+(5/4-4/9)xx12/29]:[(3/4-1/2):1/4-(1+1/5)xx(2/3-1/2)-4/5+4/5xx(1+8/7)]$

19. $(2/3+3)-(1/4-1/6)xx4/3-(1/9+1/6)xx2$

20. $sqrt(17/12 + 9/7 : {2/5 + 7/8 : [(11/15-1/3)^2:(8/5)^2 +(5/2-9/8-9/16)]^2})$

21. $(0,8+1,1+2,4+5,6xx2,1)+1,bar{2}$

22. $0,2+0,bar{6}-0,1bar{6}$

23. $0,625xx0, bar{3}:0.8 bar{3}xx0,1:0,6$

24. $0,5+1,bar{2}-0.bar{7}$

25. $log_(1/2)(2^5)+3*log_(1/2)(2^(-8))+(3/2)*log_(1/2)(64)+1/(log_(1/2)(1/32))$.

26. $[(3/17+5/34):(1-10/17-3/34)]xx(1+1/4)^2$

27. $[(17/3-19/4+5/24)+5/24]^2:(18/15+5/6-1/30)^3$

28. $(2/3+9/8xx4/3)^2:(27/12-1/2-2/3)^2$

29. $12/7xx[(5/6-3/8):(11/4+11/8)]+9/7$

30. $[(6-3/5)xx(1/4+2/9-5/12)+3/2xx(9/2-7/4-5/2)]xx2/27+1/4$

31. $10/3-7/6xx(7/6-2/3+11/14)+1/8-(10/3-5/2)xx9/4$

32. $1/5+3xx(17/3xx7/17-7/4)-3/20-5/13xx(1+5/8)$

33. ${[8/5+1/15+(2/3-1/6+14/12)-(2/6-7/35)]-(3/5+3/10+3/4)}-1$

34. $9/10+{5/4-[(13/12-13/15)-1/5]-1/10}$

35. ${(5/2-1/4-5/6+5/3)+[(30/6-8/6)-(2-11/6)]}-3/4$

36. $13/12+[7/4-(17/10-14/20)]+[13/6-(2/3-1/2)]$

37. $[(3/5-1/30)+(5/8-5/12)]-(1/5-1/30)+(2/4-3/12)$

38. $(4+1/3)-[(5/3+5/2-7/6)-(7/3-2)]$

39. $[(3/8+21/16-19/24)-(1/8+1/4-2/16)]-(3/4+3/2-2)$

40. $[(10/3-1/8)+(12/5-11/30-2)-5/4]-5/8$

41. $(13/10+7/8+1/4+2/5)-[(5/4-1/10)+(2+5/8-6/5)]$

42. $[6-(5/6+11/8-5/12)-(2+1/6)]-49/24$

43. $5/6-1/12+3/8:21/24-1/7+15/4xx2/5-1/4$

44. $(1/2+2/3-3/4):(1-2/3+1/4-1/6)+3/5xx2:2/5$

45. $(9/5+1/10xx15/2-1/4):(2+3/10)$

46. $(3/20+2/5+7/4):(11/4-5/6)+3/8xx16/9:1/3+5/4-1/2+3/4$

47. $(5/6-1/8+3/4)xx6/15-1/12+[9/2-(9/4-3/8]:(1+1/2)$

48. $(19/3-8/15xx20/3)xx3/5-1/2xx{[5/2-5/2xx(2/5+5/6-1/3)]xx(12/5-2/15)}-23/60$

49. $(4+2/3+1/6):29/3+[5/2+3/4-1/6xx10/4+1/2]$

50. ${(2/5+2/15+1/45)xx [(11/8+1/5+7/40)xx(12/5-2/15+7/30)xx4/5+5/2]xx9/10}+1/3$