Hierdie Graad 9 Wiskunde Algebra Notaboek is 'n noodsaaklike hulpmiddel vir enige student wat wiskunde studeer! Dit bevat gedetailleerde notas en voorbeelde oor sleutelonderwerpe om studente te help om die vak te verstaan en te bemeester. Met sy duidelike en bondige formaat maak dit die leer ...
, Grondbeginsels – kern begrippe
NATUURLIKE GETALLE
REËLE GETALLE
GETALLE “FAMILIE”/-STELSEL
Die getalle lyn bestaan uit al die Rasionale
Ewe getalle : : 2;4;6;8….
(Q) en Irrasionale (Q’) getalle wat saam die
versameling Reële (ℝ) getalle vorm Onewe getalle : 1;3;5;7…
NIE-REËLE GETALLE Priemgetalle : 2;3;5;7;11;13… (1 is nie n priemgetal
nie)
√−25 is ‘n voorbeeld van ‘n nie-reële getal.
Saamgestelde getalle: 4;6;8;9;10;12 (getalle met
Daar is geen getal wat, as dit gekwadreer meer as 2 faktore)
word, gelyk sal wees aan -25 nie.
Vierkants getalle ; 1;4;9;16;25…
√−25 bestaan nie op die getalle lyn nie. Die
reële en nie- reële getalle vorm gesamentlik Derdemagsgetalle : 1;8;27;64;125…
die komplekse getalle.
TELGETALLE
HEELGETALLE
RASIONALE GETALLE
enige getal wat as ‘n breuk geskryf kan word d.w.s ‘n
ℎ𝑒𝑒𝑙𝑔𝑒𝑡𝑎𝑙 𝐴
of [waar A & B ∈ Z ; B ≠ 0]
ℎ𝑒𝑒𝑙𝑔𝑒𝑡𝑎𝑙 𝐵
W Alle heelgetalle
W Alle breuke
W Alle eindigende desimale breuke
W Alle repeterende desimale breuke
IRRASIONALE GETALLE
W Alle nie-eindigende , nie-repeterende desimale
Kan slegs in ‘n getalvorm met oneindigende, nie- getalle
repeterende syfers na die desimale komma geskryf W Pi (π)
word, die getalle kan NIE AS ‘N BREUK geskryf word W √Positiewe nie − vierkant
3
NIE W √𝑃𝑜𝑠𝑖𝑡𝑖𝑒𝑤𝑒 𝑛𝑖𝑒 − 𝑘𝑢𝑏𝑖𝑒𝑘𝑒
, Grondbeginsels – kern begrippe
BODMAS - HVDVOA BEREKENINGE MET HAKKIES ()
NB ! By minus – en hakkies ()
Binne die hakkie (-3)² = (-3)(-3) =+9
Geen hakkie -3² =-(3)(3) = -9
Buite hakkie -(3)² =-(3)(3) = -9
BEREKENINGE MET WORTELS √
+ of – onder √ [VEREENVOUDIG eers onder die √]
W √16 + 9=√25
W √16 + 9≠√16 + √9
x of ÷ onder die √ [verdeel √ en werk elke deel se √
apart uit]
W √16 × 9=√144
TEKENREELS [X ÷] W √16 × 9=√16 × √9
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