Getal & Ruimte (13e editie) - 2 havo/vwo
'Breuken herleiden'.
| 2 havo/vwo | 1.2 Breuken optellen |
opgave 1Herleid tot één breuk. 1p a \({3 \over 9 x} - {8 \over 9 x}\) Optellen (1) 008u - Breuken herleiden - basis - 0ms - dynamic variables a \({3 \over 9 x} - {8 \over 9 x} = -{5 \over 9 x}\) 1p 1p b \({2 \over x} + {9 \over 3 x}\) Optellen (2) 008v - Breuken herleiden - basis - 0ms - dynamic variables b \({2 \over x} + {9 \over 3 x} = {6 \over 3 x} + {9 \over 3 x} = {15 \over 3 x} = {5 \over x}\) 1p 1p c \({5 \over 4 a} - {8 \over 2 b}\) Optellen (3) 008w - Breuken herleiden - basis - 0ms - dynamic variables c \({5 \over 4 a} - {8 \over 2 b} = {5 b \over 4 a b} - {16 a \over 4 a b} = {5 b - 16 a \over 4 a b}\) 1p 1p d \(4 - {9 \over 8 p}\) Optellen (4) 008x - Breuken herleiden - basis - 0ms - dynamic variables d \(4 - {9 \over 8 p} = {4 \over 1} - {9 \over 8 p} = {32 p \over 8 p} - {9 \over 8 p} = {32 p - 9 \over 8 p}\) 1p opgave 2Herleid tot één breuk. 1p a \(4 a - {7 \over 6 a}\) Optellen (5) 008y - Breuken herleiden - basis - 0ms - dynamic variables a \(4 a - {7 \over 6 a} = {4 a \over 1} ⋅ {6 a \over 6 a} - {7 \over 6 a} = {24 a^{2} \over 6 a} - {7 \over 6 a} = {24 a^{2} - 7 \over 6 a}\) 1p 1p b \({5 p \over q} + {4 \over 7 q}\) Optellen (6) 008z - Breuken herleiden - basis - 0ms - dynamic variables b \({5 p \over q} + {4 \over 7 q} = {35 p \over 7 q} + {4 \over 7 q} = {35 p + 4 \over 7 q}\) 1p 1p c \({4 y \over 7 x} + {5 x \over 6 y}\) Optellen (7) 0090 - Breuken herleiden - basis - 0ms - dynamic variables c \({4 y \over 7 x} + {5 x \over 6 y} = {24 y^{2} \over 42 x y} + {35 x^{2} \over 42 x y} = {35 x^{2} + 24 y^{2} \over 42 x y}\) 1p opgave 3Herleid. 1p a \({5 a \over a}\) Vereenvoudigen (1) 00h5 - Breuken herleiden - basis - 0ms - dynamic variables a \({5 a \over a} = {5 \over 1} = 5\) 1p 1p b \({x \over 7 x}\) Vereenvoudigen (2) 00h6 - Breuken herleiden - basis - 0ms - dynamic variables b \({x \over 7 x} = {1 \over 7}\) 1p 1p c \({-12 a \over 16 a}\) Vereenvoudigen (3) 00h7 - Breuken herleiden - basis - 0ms - dynamic variables c \({-12 a \over 16 a} = -\frac{3}{4}\) 1p 1p d \({15 a \over 3 a}\) Vereenvoudigen (4) 00h8 - Breuken herleiden - basis - 0ms - dynamic variables d \({15 a \over 3 a} = 5\) 1p opgave 4Herleid. 1p a \({40 p q \over 45 p r}\) Vereenvoudigen (5) 00h9 - Breuken herleiden - basis - 0ms - dynamic variables a \({40 p q \over 45 p r} = {8 q \over 9 r}\) 1p 1p b \({15 y \over -35 x y}\) Vereenvoudigen (6) 00ha - Breuken herleiden - basis - 0ms - dynamic variables b \({15 y \over -35 x y} = -{3 \over 7 x}\) 1p 1p c \({12 x y z \over 4 y z}\) Vereenvoudigen (7) 00hb - Breuken herleiden - basis - 0ms - dynamic variables c \({12 x y z \over 4 y z} = 3 x\) 1p 1p d \({5 a b \over b} + {6 a c \over c}\) Vereenvoudigen (8) 00hc - Breuken herleiden - basis - 0ms - dynamic variables d \({5 a b \over b} + {6 a c \over c} = 5 a + 6 a = 11 a\) 1p |
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| 2 havo/vwo | 1.3 Breuken vermenigvuldigen en delen |
opgave 1Herleid tot één breuk. 1p a \({2 \over x} ⋅ -{9 \over y}\) Vermenigvuldiging (1) 0091 - Breuken herleiden - basis - 0ms - dynamic variables a \({2 \over x} ⋅ -{9 \over y} = -{18 \over x y}\) 1p 1p b \({a \over 7} ⋅ -{5 \over b}\) Vermenigvuldiging (2) 0092 - Breuken herleiden - basis - 0ms - dynamic variables b \({a \over 7} ⋅ -{5 \over b} = -{5 a \over 7 b}\) 1p 1p c \(-{5 \over 2} ⋅ x\) Vermenigvuldiging (3) 0093 - Breuken herleiden - basis - 0ms - dynamic variables c \(-{5 \over 2} ⋅ x = -{5 x \over 2}\) 1p 1p d \({8 \over p} : {9 \over q}\) Deling (1) 0095 - Breuken herleiden - basis - 0ms - dynamic variables d \({8 \over p} : {9 \over q} = {8 \over p} ⋅ {q \over 9} = {8 q \over 9 p}\) 1p opgave 2Herleid tot één breuk. 1p \(-{4 \over 3} : a\) Deling (2) 0096 - Breuken herleiden - basis - 0ms - dynamic variables ○ \(-{4 \over 3} : a = -{4 \over 3} : {a \over 1} = -{4 \over 3} ⋅ {1 \over a} = -{4 \over 3 a}\) 1p |