Repetytorium maturzysty - matematyka

12 LICZBY RZECZYWISTE I WYRAŻENIA ALGEBRAICZNE – poziom podstawowy RO ZW I Ą Z AN I E Ad a) 3 1 12 4 375 19 8 9 2 5 8 2 3 2 5 14 3 1 12 4 375 1000 179 9 2 +       − ⋅ = +       , : : 5 8 2 3 33 14 3 1 12 4 3 8 9 179 2 5 8 11 7 3 2 24 4 9 24 9 17 − ⋅ = +       ⋅ − = +       ⋅ 9 2 5 8 1 4 7 7 11 24 9 179 2 35 56 1 32 56 179 24 9 179 1 3 56 3 8 56 59 21 − = ⋅ − = = ⋅ = ⋅ = 59 Ad b) 1 3 4 3 2 1 9 0 225 58 4 15 56 7 24 4 5 7 4 3 1 19 9 225 1000 58 32 1 ⋅ ⋅ + −       = ⋅ ⋅ + , : 20 56 35 120 5 4 21 4 19 9 9 40 57 152 120 56 35 120 5 4 −       ⋅ = ⋅ + −       ⋅ = = + ⋅ = + ⋅ = + ⋅ = 21 4 19 40 1 117 120 5 4 21 4 19 40 1 39 40 5 4 21 4 19 40 79 40 5 4 21 4 19 40 79 8 1 4 21 4 19 40 79 32 21 4 19 40 2 15 32 21 4 76 160 2 75 160 21 + ⋅ = + = + = + = = 4 2 151 160 21 4 160 471 7 1 40 157 280 157 = ⋅ = ⋅ = Ad c) 33 1 2 2 4 1 5 7 4 375 3 2 1 2 3 4 1 5 6 21 8 15 9 20 : , , , +       ⋅ − − −       ⋅ −             = +       ⋅ − − −       67 2 2 4 10 1 5 7 4 375 1000 1 1 2 1 2 9 12 1 10 12 : ⋅ −             = = +       ⋅ − − 21 8 15 0 45 67 2 2 2 5 1 5 7 4 3 8 1 2 1 21 12 1 , , : 10 12 21 7 70 67 2 2 14 35 1 25 35 35 8 2       ⋅             = +       ⋅ ⋅ , : 1 11 12 21 1 10 77 67 2 3 39 35 35 4 1 4 7 1 10 7 67 2 − ⋅ ⋅       = = ⋅ − ⋅ ⋅     = : : 144 35 35 4 5 2 67 2 36 2 1 2 67 2 33 1 2 1 ⋅ −     = −     = = : : Ad d) 1 250 0 3 0 15 2 3 1 88 2 3 25 80 3 2 3 100 3 1 20 2 65 , : ( . , ) : , : : , − +       − −       ⋅ +             = − ⋅ + ⋅ 4 2 5 10 25 100 0 30 0 15 3 2 1 88 2 12 1 80 : ( , , ) ( , , ) − ⋅ − ⋅ +             = = ⋅ ⋅ 3 2 100 3 3 05 2 65 4 2 5 10 1 4 15 100 3 2 4 1 1 80 ( , , ) : − ⋅ +             = ⋅ − +          50 0 40 4 2 5 41 4 3 20 3 2 1 20 50 1 6 0 4 , : , ,    = ⋅ −     = −     = − = = − 41 4 9 40 20 1 50 2 41 4 9 2 50 2 41 4 41 2 41 4 : : : ⋅ = − 2 41 1 2