1. a)
[tex](3 ^{6} \div 3^{3} + 2 ^{2} \times 2) \div 5 = ( {3}^{3} + {2}^{3} ) \div 5 = (27 + 8) \div 5 = 35 \div 5 = 7 \\ [/tex]
b)
[tex]3 \frac{1}{4} + (1 \frac{1}{6} - (1 - \frac{1}{12} )) = \frac{13}{4} + ( \frac{7}{6} - ( \frac{12}{12} - \frac{1}{12} )) = \frac{13}{4} + ( \frac{7}{6} - \frac{11}{12} ) = \frac{13}{4 } + \frac{14 - 11}{12} = \frac{13}{4} + \frac{3}{12} = \frac{13}{4} + \frac{1}{4} = \frac{14}{4} = \frac{7}{2} 3 \frac{2}{4} [/tex]
c)
[tex] \frac{3}{10} - \frac{2}{5} \times ( \frac{7}{10} - \frac{2}{10} ) = \frac{3}{10} - \frac{2}{5} \times \frac{5}{10 } = \frac{3}{10} - \frac{2}{10} = \frac{1}{10} = 0.1[/tex]
2.a)D12={1;2;3;4;6;12}
1+2+3+4+6+12=28
b)60=2*2*3*5
90=3*3*2*5
C.m.m.m.c al acestor nr. este 2*2*3*3*5=180
D60={1;2;3;4;5;6;10;12;15;20;30;60}
D90={1;2;3;5;6;9;10;15;18;30;45;90}
C.m.m.d.c este 30
180-30=150
c)M7(de 2 cifre)={14;21;28;35;42;49;56;63;70;77;84;91;98}
14+21+28+35+42+49+56+63+70+77+84+91+98=7*2+7*3+7*4+.....+7*14=7*(2+3+4+5+6+7+8+9+10+11+12+13+14)=7*104=728
3.a)5,1*3=15,3
b)5,1+3=8,1
c)8,3-5,1=3,2
4.a)38°+27°=65°
b)50°12'-23°20'=26°52'
