Getal & Ruimte (13e editie) - 2 havo/vwo
'Breuken herleiden'.
| 2 havo/vwo | 1.2 Breuken optellen |
opgave 1Herleid tot één breuk. 1p a \({4 \over 6 x} - {7 \over 6 x}\) Optellen (1) 008u - Breuken herleiden - basis - 0ms - dynamic variables a \({4 \over 6 x} - {7 \over 6 x} = -{3 \over 6 x} = -{1 \over 2 x}\) 1p 1p b \({2 \over a} + {9 \over 8 a}\) Optellen (2) 008v - Breuken herleiden - basis - 0ms - dynamic variables b \({2 \over a} + {9 \over 8 a} = {16 \over 8 a} + {9 \over 8 a} = {25 \over 8 a}\) 1p 1p c \({3 \over 9 p} + {5 \over 2 q}\) Optellen (3) 008w - Breuken herleiden - basis - 0ms - dynamic variables c \({3 \over 9 p} + {5 \over 2 q} = {6 q \over 18 p q} + {45 p \over 18 p q} = {6 q + 45 p \over 18 p q} = {2 q + 15 p \over 6 p q}\) 1p 1p d \(5 + {3 \over 7 a}\) Optellen (4) 008x - Breuken herleiden - basis - 0ms - dynamic variables d \(5 + {3 \over 7 a} = {5 \over 1} + {3 \over 7 a} = {35 a \over 7 a} + {3 \over 7 a} = {35 a + 3 \over 7 a}\) 1p opgave 2Herleid tot één breuk. 1p a \(6 x + {4 \over 7 x}\) Optellen (5) 008y - Breuken herleiden - basis - 0ms - dynamic variables a \(6 x + {4 \over 7 x} = {6 x \over 1} ⋅ {7 x \over 7 x} + {4 \over 7 x} = {42 x^{2} \over 7 x} + {4 \over 7 x} = {42 x^{2} + 4 \over 7 x}\) 1p 1p b \({9 x \over y} + {5 \over 6 y}\) Optellen (6) 008z - Breuken herleiden - basis - 0ms - dynamic variables b \({9 x \over y} + {5 \over 6 y} = {54 x \over 6 y} + {5 \over 6 y} = {54 x + 5 \over 6 y}\) 1p 1p c \({8 b \over 5 a} - {7 a \over 2 b}\) Optellen (7) 0090 - Breuken herleiden - basis - 0ms - dynamic variables c \({8 b \over 5 a} - {7 a \over 2 b} = {16 b^{2} \over 10 a b} - {35 a^{2} \over 10 a b} = {-35 a^{2} + 16 b^{2} \over 10 a b}\) 1p opgave 3Herleid. 1p a \({9 a \over a}\) Vereenvoudigen (1) 00h5 - Breuken herleiden - basis - 0ms - dynamic variables a \({9 a \over a} = {9 \over 1} = 9\) 1p 1p b \({x \over 3 x}\) Vereenvoudigen (2) 00h6 - Breuken herleiden - basis - 0ms - dynamic variables b \({x \over 3 x} = {1 \over 3}\) 1p 1p c \({15 p \over -21 p}\) Vereenvoudigen (3) 00h7 - Breuken herleiden - basis - 0ms - dynamic variables c \({15 p \over -21 p} = -\frac{5}{7}\) 1p 1p d \({-24 x \over 3 x}\) Vereenvoudigen (4) 00h8 - Breuken herleiden - basis - 0ms - dynamic variables d \({-24 x \over 3 x} = -8\) 1p opgave 4Herleid. 1p a \({35 p q \over -45 p r}\) Vereenvoudigen (5) 00h9 - Breuken herleiden - basis - 0ms - dynamic variables a \({35 p q \over -45 p r} = -{7 q \over 9 r}\) 1p 1p b \({10 b \over 15 a b}\) Vereenvoudigen (6) 00ha - Breuken herleiden - basis - 0ms - dynamic variables b \({10 b \over 15 a b} = {2 \over 3 a}\) 1p 1p c \({-12 a b c \over 2 b c}\) Vereenvoudigen (7) 00hb - Breuken herleiden - basis - 0ms - dynamic variables c \({-12 a b c \over 2 b c} = -6 a\) 1p 1p d \({2 x y \over y} + {3 x z \over z}\) Vereenvoudigen (8) 00hc - Breuken herleiden - basis - 0ms - dynamic variables d \({2 x y \over y} + {3 x z \over z} = 2 x + 3 x = 5 x\) 1p |
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| 2 havo/vwo | 1.3 Breuken vermenigvuldigen en delen |
opgave 1Herleid tot één breuk. 1p a \({2 \over a} ⋅ -{3 \over b}\) Vermenigvuldiging (1) 0091 - Breuken herleiden - basis - 0ms - dynamic variables a \({2 \over a} ⋅ -{3 \over b} = -{6 \over a b}\) 1p 1p b \({p \over 9} ⋅ -{5 \over q}\) Vermenigvuldiging (2) 0092 - Breuken herleiden - basis - 0ms - dynamic variables b \({p \over 9} ⋅ -{5 \over q} = -{5 p \over 9 q}\) 1p 1p c \(-{1 \over 7} ⋅ x\) Vermenigvuldiging (3) 0093 - Breuken herleiden - basis - 0ms - dynamic variables c \(-{1 \over 7} ⋅ x = -{x \over 7}\) 1p 1p d \({5 \over x} : {4 \over y}\) Deling (1) 0095 - Breuken herleiden - basis - 0ms - dynamic variables d \({5 \over x} : {4 \over y} = {5 \over x} ⋅ {y \over 4} = {5 y \over 4 x}\) 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 |