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Samenvatting Wiskunde 1: Getallenkennis
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Hier vind je alle theorie die je moet kunnen toepassen voor getallenkennis.
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WISKUNDE 1: Getallenkennis1
,Inhoud
Getallenkennis........................................................................................................................................4
Tiendelige getallen.................................................................................................................................4
a) De Arabische cijfers komen uit Indië..........................................................................................4
b) Het grondtal 10...........................................................................................................................4
c) Getallen afronden.......................................................................................................................5
d) De getallen voluit schrijven........................................................................................................5
Negatieve getallen..................................................................................................................................6
De romeinse cijfers en andere getallensystemen...................................................................................6
a) Romeinse cijfers.........................................................................................................................6
a. De symbolen...........................................................................................................................6
b. Regels voor getallen in Romeinse cijfers.................................................................................7
c. Werkwijze voor het omzetten.................................................................................................7
b) Additief versus positiesysteem...................................................................................................7
Breuken..................................................................................................................................................8
a) Breuken, benoemen, lezen en noteren......................................................................................8
b) Gelijkwaardige breuken zoeken.................................................................................................9
c) Breuken gelijknamig maken........................................................................................................9
d) Breuken vergelijken..................................................................................................................10
Bewerkingen met breuken...................................................................................................................11
a) Optellen en aftrekken met breuken.........................................................................................11
b) Vermenigvuldigen met breuken...............................................................................................11
a. Natuurlijke getal x breuk.......................................................................................................11
b. Breuk x natuurlijk getal of breuk x breuk..............................................................................11
c. Delen met breuken...................................................................................................................11
a. Breuk: natuurlijk getal...........................................................................................................11
a. Natuurlijk getal: stambreuk..................................................................................................12
Percenten.............................................................................................................................................13
a) Percentbegrip...........................................................................................................................13
b) Berekeningswijze......................................................................................................................13
a. Percent van een getal...........................................................................................................13
b. Een verhouding uitdrukken met percentages.......................................................................14
c. Relatie breuken, percenten en kommagetallen....................................................................15
Delers en veelvouden.......................................................................................................................15
a) Begrippen.................................................................................................................................15
2
, b) Kenmerken van deelbaarheid...................................................................................................15
c) Grootste gemeenschappelijke deler (ggd) en kleinste gemeenschappelijke veelvoud (kgv)....16
a. Werkwijze voor het zoeken van de ggd van twee getallen...................................................16
b. Werkwijze zoeken van het kgv van twee getallen................................................................16
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