Getal & Ruimte (13e editie) - 2 havo/vwo
'Breuken herleiden'.
| 2 havo/vwo | 1.2 Breuken optellen |
opgave 1Herleid tot één breuk. 1p a \({4 \over 3 x} - {8 \over 3 x}\) Optellen (1) 008u - Breuken herleiden - basis - 0ms - dynamic variables a \({4 \over 3 x} - {8 \over 3 x} = -{4 \over 3 x}\) 1p 1p b \({7 \over a} - {2 \over 5 a}\) Optellen (2) 008v - Breuken herleiden - basis - 0ms - dynamic variables b \({7 \over a} - {2 \over 5 a} = {35 \over 5 a} - {2 \over 5 a} = {33 \over 5 a}\) 1p 1p c \({5 \over 9 x} - {7 \over 2 y}\) Optellen (3) 008w - Breuken herleiden - basis - 0ms - dynamic variables c \({5 \over 9 x} - {7 \over 2 y} = {10 y \over 18 x y} - {63 x \over 18 x y} = {10 y - 63 x \over 18 x y}\) 1p 1p d \(2 - {7 \over 5 a}\) Optellen (4) 008x - Breuken herleiden - basis - 0ms - dynamic variables d \(2 - {7 \over 5 a} = {2 \over 1} - {7 \over 5 a} = {10 a \over 5 a} - {7 \over 5 a} = {10 a - 7 \over 5 a}\) 1p opgave 2Herleid tot één breuk. 1p a \(5 p - {7 \over 6 p}\) Optellen (5) 008y - Breuken herleiden - basis - 0ms - dynamic variables a \(5 p - {7 \over 6 p} = {5 p \over 1} ⋅ {6 p \over 6 p} - {7 \over 6 p} = {30 p^{2} \over 6 p} - {7 \over 6 p} = {30 p^{2} - 7 \over 6 p}\) 1p 1p b \({8 x \over y} + {3 \over 5 y}\) Optellen (6) 008z - Breuken herleiden - basis - 0ms - dynamic variables b \({8 x \over y} + {3 \over 5 y} = {40 x \over 5 y} + {3 \over 5 y} = {40 x + 3 \over 5 y}\) 1p 1p c \({3 q \over 9 p} - {5 p \over 7 q}\) Optellen (7) 0090 - Breuken herleiden - basis - 0ms - dynamic variables c \({3 q \over 9 p} - {5 p \over 7 q} = {21 q^{2} \over 63 p q} - {45 p^{2} \over 63 p q} = {-45 p^{2} + 21 q^{2} \over 63 p q} = {-15 p^{2} + 7 q^{2} \over 21 p q}\) 1p opgave 3Herleid. 1p a \({7 a \over a}\) Vereenvoudigen (1) 00h5 - Breuken herleiden - basis - 0ms - dynamic variables a \({7 a \over a} = {7 \over 1} = 7\) 1p 1p b \({x \over 2 x}\) Vereenvoudigen (2) 00h6 - Breuken herleiden - basis - 0ms - dynamic variables b \({x \over 2 x} = {1 \over 2}\) 1p 1p c \({-20 a \over -45 a}\) Vereenvoudigen (3) 00h7 - Breuken herleiden - basis - 0ms - dynamic variables c \({-20 a \over -45 a} = \frac{4}{9}\) 1p 1p d \({-12 a \over 3 a}\) Vereenvoudigen (4) 00h8 - Breuken herleiden - basis - 0ms - dynamic variables d \({-12 a \over 3 a} = -4\) 1p opgave 4Herleid. 1p a \({25 p q \over 30 p r}\) Vereenvoudigen (5) 00h9 - Breuken herleiden - basis - 0ms - dynamic variables a \({25 p q \over 30 p r} = {5 q \over 6 r}\) 1p 1p b \({-4 y \over 10 x y}\) Vereenvoudigen (6) 00ha - Breuken herleiden - basis - 0ms - dynamic variables b \({-4 y \over 10 x y} = -{2 \over 5 x}\) 1p 1p c \({-16 x y z \over -4 y z}\) Vereenvoudigen (7) 00hb - Breuken herleiden - basis - 0ms - dynamic variables c \({-16 x y z \over -4 y z} = 4 x\) 1p 1p d \({5 a b \over b} - {4 a c \over c}\) Vereenvoudigen (8) 00hc - Breuken herleiden - basis - 0ms - dynamic variables d \({5 a b \over b} - {4 a c \over c} = 5 a - 4 a = a\) 1p |
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| 2 havo/vwo | 1.3 Breuken vermenigvuldigen en delen |
opgave 1Herleid tot één breuk. 1p a \({5 \over x} ⋅ {7 \over y}\) Vermenigvuldiging (1) 0091 - Breuken herleiden - basis - 0ms - dynamic variables a \({5 \over x} ⋅ {7 \over y} = {35 \over x y}\) 1p 1p b \({a \over 6} ⋅ {7 \over b}\) Vermenigvuldiging (2) 0092 - Breuken herleiden - basis - 0ms - dynamic variables b \({a \over 6} ⋅ {7 \over b} = {7 a \over 6 b}\) 1p 1p c \({9 \over 7} ⋅ p\) Vermenigvuldiging (3) 0093 - Breuken herleiden - basis - 0ms - dynamic variables c \({9 \over 7} ⋅ p = {9 p \over 7}\) 1p 1p d \({3 \over x} : {7 \over y}\) Deling (1) 0095 - Breuken herleiden - basis - 0ms - dynamic variables d \({3 \over x} : {7 \over y} = {3 \over x} ⋅ {y \over 7} = {3 y \over 7 x}\) 1p opgave 2Herleid tot één breuk. 1p \(-{8 \over 9} : a\) Deling (2) 0096 - Breuken herleiden - basis - 0ms - dynamic variables ○ \(-{8 \over 9} : a = -{8 \over 9} : {a \over 1} = -{8 \over 9} ⋅ {1 \over a} = -{8 \over 9 a}\) 1p |