1)   Vypočtěte:

\displaystyle 15-16=

\displaystyle -3+\left( -6 \right)=

\displaystyle 2-\left( -5 \right)=

\displaystyle 17-\left( +2 \right)=

\displaystyle 39-\left( -42 \right)=

\displaystyle -5-\left( -6 \right)=

\displaystyle 12-15=

\displaystyle -7+\left( -8 \right)=

\displaystyle -11+2=

\displaystyle -1-\left( -4 \right)=

\displaystyle -2+\left( -9 \right)=

\displaystyle 3-\left( +6 \right)=

\displaystyle 11-\left( +12 \right)=

\displaystyle +5+\left( -15 \right)=

\displaystyle +12+\left( -16 \right)=

\displaystyle -3-\left( -8 \right)=

 

2)   Vypočtěte:

\displaystyle -1-15=

\displaystyle -9-\left( -3 \right)=

\displaystyle -7-\left( -2 \right)=

\displaystyle 5+\left( -17 \right)=

\displaystyle 15-\left( +16 \right)=

\displaystyle 1-\left( -5 \right)=

\displaystyle -27-\left( -12 \right)=

\displaystyle -15-\left( -7 \right)=

\displaystyle -9-\left( -11 \right)=

\displaystyle -2+\left( -15 \right)=

\displaystyle 3-\left( -1 \right)=

\displaystyle -11+\left( -2 \right)=

\displaystyle -3+\left( -3 \right)=

\displaystyle -1+\left( -11 \right)=

\displaystyle 30-\left( +23 \right)=

\displaystyle -98-2=

\displaystyle 12+\left( -5 \right)=

\displaystyle -1+\left( -3 \right)=

\displaystyle 20-\left( +16 \right)=

\displaystyle 21-\left( -22 \right)=

 

3)   Vypočtěte:

\displaystyle 5\cdot \left( -4 \right)=

\displaystyle 7\cdot \left( -3 \right)=

\displaystyle -8\cdot 2=

\displaystyle -9\cdot 9=

\displaystyle 15\cdot \left( -2 \right)=

\displaystyle -6\cdot 7=

\displaystyle -5\cdot 9=

\displaystyle -7\cdot \left( -8 \right)=

\displaystyle 6\cdot \left( -6 \right)=

\displaystyle -1\cdot 9=

\displaystyle -4\cdot \left( -10 \right)=

\displaystyle -6\cdot 0=

\displaystyle 5\cdot \left( -12 \right)=

\displaystyle -100:20=

\displaystyle 72:\left( -2 \right)=

\displaystyle -90:\left( -5 \right)=

\displaystyle 51:\left( -3 \right)=

\displaystyle -42:3=

\displaystyle -75:\left( -5 \right)=

\displaystyle 126:\left( -3 \right)=

\displaystyle 0:\left( -10 \right)=

\displaystyle \left( -88 \right):\left( -4 \right)=

\displaystyle -15:0=

\displaystyle -36:\left( -9 \right)=

 

4)   Vypočtěte:

\displaystyle -12-5+\left( -6 \right)=

\displaystyle 7-6-11=

\displaystyle 5+\left( -6 \right)-\left( +3 \right)=

\displaystyle 10+\left( -10 \right)-\left( +10 \right)=

\displaystyle -1-\left( +3 \right)+\left( -6 \right)=

\displaystyle 10+\left( -1 \right)+\left( -5 \right)=

\displaystyle \left( -9 \right)+\left( 5-6 \right)=

\displaystyle -7-\left( 13-5 \right)=

\displaystyle 14+\left( 23-32 \right)=

\displaystyle -12-\left( -4+8 \right)=

\displaystyle 15+\left( -9-6 \right)=

\displaystyle \left( -7-11 \right)-3=

\displaystyle \left( -8+4 \right)-9=

\displaystyle \left( -6-9 \right)+4=

\displaystyle \left( 5-12 \right)-5=

\displaystyle \left( 10-3 \right)+\left( -10-7 \right)=

 

5)   Vypočtěte:

\displaystyle 17+\left( -9 \right)+\left( -25 \right)+\left( -13 \right)+24=

\displaystyle -8+11+\left( -9 \right)+\left( -11 \right)-5=

\displaystyle 16+\left( -19 \right)+\left( -16 \right)+19+\left( -2 \right)=

\displaystyle -8+\left( -5 \right)+\left( -4 \right)+10-\left( -29 \right)=

\displaystyle -7-\left( -12 \right)+\left( -10 \right)+\left( -12 \right)+\left( -6 \right)=

\displaystyle -\left( -24 \right)-\left( +17 \right)+\left( -24 \right)+17-\left( +4 \right)=

 

6)   Doplňte tak, aby platila rovnost:

\displaystyle a)\quad -17+\ \ldots \ =-25

\displaystyle b)\quad \ldots \ +9=-14

\displaystyle c)\quad -15+\ \ldots \ =-15

\displaystyle d)\quad \ \ldots \ +\left( -13 \right)=-26

\displaystyle e)\quad 36+\ \ldots \ =0

\displaystyle f)\quad -27+\ \ldots \ =-54

\displaystyle g)\quad \ \ldots \ +\left( -12 \right)=-12

\displaystyle h)\quad -18+\ \ldots \ =-31

\displaystyle i)\quad 8+\ \ldots \ =-38

\displaystyle j)\quad \ \ldots \ +29=0

 

7)   Vypočtěte:

\displaystyle a)\quad \left( 7-10 \right)\cdot \left( -12+8 \right)=

\displaystyle b)\quad \left( 6-4 \right)\cdot \left( 8-12 \right)=

\displaystyle c)\quad \left( -7+9 \right)\cdot \left( -10+4 \right)=

\displaystyle d)\quad \left( -5-4 \right)\cdot \left( -7+16 \right)=

\displaystyle e)\quad \left( -8+10 \right)\cdot \left( 11-8 \right)=

\displaystyle f)\quad \left( 13-20 \right)\cdot \left( -20+13 \right)=

\displaystyle g)\quad 9-9:3-10=

\displaystyle h)\quad 9-9:\left( 1-10 \right)=

\displaystyle i)\quad 9-9:4-10=

\displaystyle j)\quad 9+9:3-10=

\displaystyle k)\quad 6+6:3-7=

\displaystyle l)\quad 6+6:3+7=

\displaystyle m)\quad 6-6:3-7=

\displaystyle n)\quad 6-6:3+7=

\displaystyle o)\quad 10-12:4-8=

\displaystyle p)\quad \left( -5+23 \right):3-10=

\displaystyle q)\quad \left( 4+8 \right):3-7=

\displaystyle r)\quad \left( 10-4 \right):2-8=

\displaystyle s)\quad \left( 6+9 \right):5-3=

\displaystyle t)\quad 10-8:4-8=

\displaystyle u)\quad \left( 10-6 \right):2-8=

 

8)   Vypočtěte:

\displaystyle a)\quad 3\cdot \left( -2 \right):\left[ \left( -3 \right):\left( -1 \right) \right]=

\displaystyle b)\quad \left[ \left( -5 \right)\cdot \left( -6 \right):15 \right]:\left( -2 \right)=

\displaystyle c)\quad \left( -4 \right)\cdot \left( -5 \right)\cdot \left( -2 \right):\left( -10 \right)=

\displaystyle d)\quad \left( -4 \right)\cdot \left[ \left( -5 \right)\cdot \left( -2 \right):\left( -10 \right) \right]=

\displaystyle e)\quad \left( -3 \right)\cdot 9-7\cdot 8+11\cdot 7=

\displaystyle f)\quad 6\cdot \left( -4 \right)-15-14+3\cdot 12=

\displaystyle g)\quad \left( -1 \right)\cdot \left( -7 \right)-\left( -9 \right)\cdot 0\cdot \left( -12 \right)=

\displaystyle h)\quad \left( -5 \right)\cdot \left( 6-8 \right)\cdot \left( 11-3 \right)\cdot \left( -1 \right)=

 

9)   Vypočtěte:

\displaystyle a)\quad \left( -5 \right)\cdot 6+\left( 8-11 \right)\cdot 3=

\displaystyle b)\quad 3\cdot 6+2\cdot \left( 9-3\cdot 5 \right)=

\displaystyle c)\quad \left( -2 \right)\cdot 5-6:\left( -3 \right)-\left( -8 \right)=

\displaystyle d)\quad \left( -3 \right)\cdot \left[ -6+2\cdot \left( 9-3\cdot 5 \right) \right]=

\displaystyle e)\quad 6-\left[ -\left( -3 \right)-\left( -4 \right) \right]\cdot \left( -3 \right)=

\displaystyle f)\quad \left( -4-2 \right):3+4:\left( -2 \right)\cdot 3=

 

10)   Vypočtěte:

\displaystyle a)\quad 42+3\cdot \left[ 2-\left( -8+2\cdot 7 \right) \right]=

\displaystyle b)\quad \left( -2+3 \right)-\left\{ -2+\left[ -5-\left( 14-25 \right) \right] \right\}=

\displaystyle c)\quad 27+\left( -3 \right)-\left[ 42-\left( 25-17 \right) \right]=

\displaystyle d)\quad 42-\left\{ 5-\left[ 12-4\cdot \left( -3 \right)+2 \right] \right\}=

\displaystyle e)\quad \left[ 42-\left( -12 \right)-2\cdot \left( -5 \right) \right]+\left( -15 \right)=

\displaystyle f)\quad 50-\left\{ \left[ 18+5\cdot \left( 4-9 \right)+2 \right]\cdot 10 \right\}=

\displaystyle g)\quad 8\cdot \left( -7 \right)-\left[ -12+\left( -24 \right)-\left( -5 \right) \right]=

\displaystyle h)\quad -5+18\cdot \left( -2 \right)-\left( -4 \right)\cdot \left( -5 \right)=

 

11)   Vypočtěte:

\displaystyle a)\quad \left( -6-7 \right)\cdot \left( 5-12 \right)-\left( 13-5 \right)\cdot \left( -2+11 \right)+\left( -3-15 \right):\left( 3-9 \right)=

\displaystyle b)\quad \left[ -\left( 3-9 \right)\cdot \left( 11+4 \right)-8 \right]+\left[ \left( 15-3 \right)\cdot \left( -5-9 \right)+4 \right]=

\displaystyle c)\quad -\left\{ -\left[ -6-\left( -8+3 \right)-\left( 6-12 \right) \right]-\left( -4+9 \right)\cdot \left( 3-11 \right)-7 \right\}=

\displaystyle d)\quad -\left( -8-4 \right)\cdot \left( 6-10 \right)-\left( 5-7 \right)\cdot \left( -12+4 \right):\left( 2-6 \right)-\left( 3+12 \right):\left( -2-3 \right)=


 

Výsledky:

1)
1. sloupec: -1; -9; 7; 5;
2. sloupec: 81; 1; -27; -15;
3. sloupec: -9; 3; -11; -3;
4. sloupec: -1; -10; -4; 5;

2)
1. sloupec: -16; -6; -5; -12; -1;
2. sloupec: 6; -15; -8; 2; -17;
3. sloupec: 4; -13; -6; -12; 7;
4. sloupec: -100; 7; -4; 4; 43;

3)
1. sloupec: -20; -21; -16; -81; -30; -42;
2. sloupec: -45; 56; -36; -9; 40; 0;
3. sloupec: -60; -5; -36; 18; -17; -14;
4. sloupec: 15; -42; 0; 22; nulou nelze dělit; 4;

4)
1. sloupec: -23; -12; -4; -10;
2. sloupec: -10; 4; -10; -15;
3. sloupec: 8; -16; 0;-21;
4. sloupec: -13; -11; -12; -10;

5)
1. sloupec: -6; -22; -2;
2. sloupec: 22; -23; -4;

6)  a) -8; b) -23; c) 0; d) -13; e) -36; f) -27; g) 0; h) -13; i) -46; j) -29;

7)
a) 12; b) -8; c) -12; d) -81; e) 6; f) 49; g) -4;
h) 10; i) 3,25; j) 2; k)1; l)15; m) -3; n) 11;
o) -1; p) -4; q) -3; r) -5; s) 0; t) 0; u) -6;

8)
a) -2; b) -1; c) 4; d) 4;
e) -6; f) -17; g) 7; h) 80;

9)
a) -39; b) 6; c) 0;
d) 54; e) 27; f) -8;

10)
a) 30; b) -3; c) -10; d) 63;
e) 49; f) 100; g) -25; h) -61;

11)  a) 22; b) -82; c) -38; d) -41;