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Uitwerkingen! Hoofdstuk 2 Basisboek wiskunde Craats en Bosch
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Volledige uitwerkingen en antwoorden van het hoofdstuk 2 uit Basisboek wiskunde Jan Craats en Rob Bosch
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Hoofdstuk 2(Voor de berekeningen van de ggd wordt verwezen naar hoofdstuk 1)
2.1 vereenvoudigen
A
15 3
= 𝑔𝑔𝑑 𝑖𝑠 5 =
20 4
B
18 2
= 𝑔𝑔𝑑 𝑖𝑠 9 =
45 5
C
21 3
= 𝑔𝑔𝑑 𝑖𝑠 7 =
49 7
D
27 1
= 𝑔𝑔𝑑 𝑖𝑠 27 =
81 3
E
24 1
= 𝑔𝑔𝑑 𝑖𝑠 24 =
96 4
2.2 vereenvoudigen
A
60 5
= 𝑔𝑔𝑑 𝑖𝑠 12 =
144 12
B
144 2
= 𝑔𝑔𝑑 𝑖𝑠 72 =
216 3
C
135 5
= 𝑔𝑔𝑑 𝑖𝑠 27 =
243 9
D
864 27
= 𝑔𝑔𝑑 𝑖𝑠 32 =
1024 32
E
168 7
= 𝑔𝑔𝑑 𝑖𝑠 24 =
288 12
2.3 maak gelijknamig
A
1 1 1𝑥4 1𝑥3 4 3
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 12 = 𝑒𝑛 = 𝑒𝑛
3 4 12 12 12 12
B
2 3 2𝑥7 3𝑥5 14 15
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 35 = 𝑒𝑛 = 𝑒𝑛
5 7 35 35 35 35
, C
4 2 4𝑥5 2𝑥9 20 18
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 45 = 𝑒𝑛 = 𝑒𝑛
9 5 45 45 45 45
D
7 3 7𝑥4 3𝑥11 28 33
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 44 = 𝑒𝑛 = 𝑒𝑛
11 4 44 44 44 44
E
2 5 2𝑥12 5𝑥13 24 65
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 156 = 𝑒𝑛 = 𝑒𝑛
13 12 156 156 156 156
2.4 maak gelijknamig
A
1 1 1𝑥3 1𝑥2 3 2
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 18 = 𝑒𝑛 = 𝑒𝑛
6 9 18 18 18 18
B
3 2 3𝑥3 2𝑥2 9 4
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 30 = 𝑒𝑛 = 𝑒𝑛
10 15 30 30 30 30
C
3 5 3𝑥3 5𝑥4 9 20
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 24 = 𝑒𝑛 = 𝑒𝑛
8 6 24 24 24 24
D
5 7 5𝑥4 7𝑥3 20 21
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 36 = 𝑒𝑛 = 𝑒𝑛
9 12 36 36 36 36
E
3 1 3𝑥2 1𝑥5 6 5
𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 40 = 𝑒𝑛 = 𝑒𝑛
20 8 40 40 40 40
2.5 maak gelijknamig
A
1 1 1 1𝑥20 1𝑥15 1𝑥12 20 15 12
, 𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 60 = , 𝑒𝑛 = , 𝑒𝑛
3 4 5 60 60 60 60 60 60
B
2 3 2 2𝑥35 3𝑥21 2𝑥15 70 63 30
, 𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 105 = , 𝑒𝑛 = , 𝑒𝑛
3 5 7 105 105 105 105 105 105
C
1 1 1 1𝑥9 1𝑥6 1𝑥4 9 6 4
, 𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 36 = , 𝑒𝑛 = , 𝑒𝑛
4 6 9 36 36 36 36 36 36
D
2 1 5 2𝑥3 1𝑥2 5𝑥5 6 2 25
, 𝑒𝑛 = 𝑘𝑔𝑣 𝑖𝑠 30 = , 𝑒𝑛 = , 𝑒𝑛
10 15 6 30 30 30 30 30 30
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