Per ripassare un intero anno

Filippo Tommaso Marinetti

Espressioni con numeri interi:

1.\left\{ \left [2-7\cdot\left(4-6\right )\right]:\left(-2 \right)-\left (-2^{3}+2^{2}\right)\right\}:\left(-2\right)+\left[-\left(-2+7\right)\cdot\left(-4\right)\right]

2. \left [ \left ( 6-22 \right ):\left ( -2 \right )^{3}+\left ( 11-13 \right )\cdot \left ( -7+4 \right ) \right ]\cdot \left ( 8-11 \right )+\left(-2\cdot3+4\cdot9\right)

3.\left ( -4+2 \right )^{3}\cdot 4-\left \{ \left [ \left ( 5-7 \right )\cdot \left ( 4-1 \right )+3\right ]:3-\left ( -5 \right )+2\left ( -4 \right ) \right \}

4. \left \{ -\left ( +7 \right )-\left [ -3\left ( -3 \right ) \right ] \right \}+\left \{ \left [ -6\cdot \left ( -1 \right ) \right ]-\left [ -\left ( -2 \right ) \right ] \right \}-\left \{ -\left [ -\left ( -5 \right ) \right ]-\left [ \left ( -1 \right )\cdot \left ( -3 \right ) \right ] \right \}

5. \left ( 3\cdot 5-40:2 \right )-\left \{ 5\cdot 2-\left [ 3\cdot \left ( -2 \right )-\left ( -15 \right ):3 \right ]+\left [ \left ( -12 \right ):\left ( -3 \right )-\left ( -6 \right )\cdot \left ( -2 \right ) \right ] \right \}:\left [ \left (-5\right )\cdot 4+17 \right ]

6. \left \{ +12-\left [ +2+2^{3}:\left ( -2 \right )^{2}\cdot \left ( 2^{4}:2^{3} \right )^{2} \right ]:\left [ \left ( -2^{2} \right )^{2}:2^{3} \right ] \right \}\cdot 3+\left ( -3 \right )^{3}

7. \left ( 2^{2} \right )^{5}\cdot \left ( -2 \right )^{3}:\left \{ \left [ -\left ( -2 \right )^{2} \right ]^{3}\cdot \left [ -\left ( -2 \right )^{2} \right ]^{2} \right \}\cdot \left ( -2^{2} \right ):\left ( -2 \right )^{4}

8. \left \{ \left [ -\left ( -3 \right )^{3} \right ]^{5}\cdot \left [ \left ( -3 \right )^{5} \right ]^{2} \right \}:\left \{ -\left ( -3 \right )^{3}\cdot \left ( -3 \right )^{7}\cdot \left [ \left ( -3 \right )^{2} \right ]^{7} \right \}+3^{0}

La rappresentazione dei numeri razionali su una retta

Rappresenta su una retta orientata le seguenti frazioni, indicando per ogni frazione se è propria, impropria o apparente

9. \cfrac{1}{2};\cfrac{3}{4};\cfrac{1}{3};-\cfrac{1}{2};\cfrac{8}{5};\cfrac{7}{8}

10. -\cfrac{5}{6};\cfrac{3}{2};\cfrac{5}{4};-\cfrac{8}{9};\cfrac{3}{3};\cfrac{9}{5}

11. -\cfrac{4}{3};\cfrac{5}{2};-\cfrac{11}{6};-\cfrac{7}{2};\cfrac{7}{6};\cfrac{5}{4}

Le espressioni contenenti somme algebriche
Calcola il valore delle seguenti espressioni

12. 7-\left [ \left ( 3+\cfrac{1}{5}-\cfrac{3}{4}-2 \right )-\left ( \cfrac{2}{5}-6 +\cfrac{3}{4}-\cfrac{1}{2}\right )\right ]+\cfrac{6}{5}-\left ( \cfrac{7}{20}+\cfrac{1}{20} \right )

13. \cfrac{1}{9}-\cfrac{1}{12}+\left ( \cfrac{1}{8}-\cfrac{23}{9}\right )-\left [ \cfrac{3}{8}+\left ( \cfrac{1}{3}-\cfrac{5}{2} \right )-\cfrac{1}{6} \right ]+\cfrac{4}{9}

14. 4-\left [ 2+\left ( 1-\cfrac{2}{3} \right )-\left ( -4+\cfrac{1}{5} \right ) \right ]+\left [ 7-\left ( 6+\cfrac{1}{15}\right )-\cfrac{2}{5} \right ]

About Francesco Bragadin

Insegno informatica, matematica e fisica. Ho terminato gli studi di ingegneria presso l'Università di Padova nel 1990 e mi occupo di analisi di reti, sviluppo siti web, applicazioni di app nell'ambito matematico.
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