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MFPD EXAM NOTES

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FULL EXAM NOTES, NEATLY TYPED OUT. PERFECT FOR PREPARATION.











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Uploaded on
July 14, 2022
Number of pages
27
Written in
2016/2017
Type
Class notes
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MFPF EKSAMEN OPSOMMINGS
Opgesom vanaf klaswerk en PowerPoints sowel as die
leesbundel -sluit in geskrewe praktiese voorbeelde.




D.KRUGER 24970050 0761224180

, Leereenheid 1

Wat is ʼn getalteorie?
 Behels die studie van patrone en verwantskappe binne heelgetalle
 behels hoe getalle voorgestel kan word en die eienskappe van getalle

Wanneer die kind getal teorie verstaan, m.a.w. besef dat getalle uniek is en op
verskillende maniere geskryf kan word, dan:
 Sal die breukkonsep makliker aangeleer en verstaan word;
 Bewerkings van polinome in algebra gedoen kan word met insig;
 Wiskundige denke waarin bewyse en verklarings ‘n belangrike rol speel
ontwikkel
 (bl. 300)

Ewe en onewe getalle
(honderd kaart gee dikwels die verkeerde idee)

Ewe getalle:
 kan gelyk verdeel sonder dat iets oorbly
 gee blokkies en moet dan opdeel in gelyke dele
 gee blokkies en sien dat onewe getalle onewe blokke vorm.
 ewe + onewe= onewe
 onewe + ewe = ewegetal




Faktore:
Behels die deling in kleiner stukkies
bv. faktore van 12
F10: 1,2,5,10 (Almal kan in 12 in deel)




D.KRUGER 24970050 0761224180

, Veelvoude:
Word groter
bv. die veelvoude van 6
V6: 6,12,18,24,30,36 ens.

Die bou van getalle;
2x3=6
2 en 3 is faktore van 6
6 is ʼn veelvoud van 2 en 3




Eksponente:
2 x 2 x 2 x 2 = 2 tot die mag 4
2,4,6,8 ens kan in die mag van 2 geskryf word.

vierkant van 2 = (2 x 2) = 4
vierkant van 3 = (3 x 3) = 9

vierkantswortel van 16 = 4 (omdat 4 x 4 =16)


Priemgetalle:
 Het net twee faktore wat in hom kan ingaan
 Dien as bou blokke vir ander getalle.

Volkome vierkant:
Wanneer ʼn getal ʼn ongelyke hoeveelheid faktore het.




D.KRUGER 24970050 0761224180
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