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Wiskunde

Persentasies

Opvoeders afdeling

Memorandum

  • (i) 23 909 920
  1. 42 840 000
  2. 320

15.3.1

a) R31,04

b) 15 mm

15.3.2

a) R525

b) R3,00

c) 8,25 kg

d) R12,69

16.3

a) 25%

b) 8, 3 . size 12{ {3} cSup { size 8{ "." } } } {} %

c) 70%

d) 37,5%

e) 80%

f) 66, 6 . size 12{ {6} cSup { size 8{ "." } } } {} %

Leerders afdeling

Inhoud

Aktiwiteit: persentasie van bedrae te bereken [lu 1.7.6, lu 1.9.2, lu 2.7.1 ]

a) Werk saam met ’n maat. Kan julle die antwoorde met behulp van ’n sakrekenaar bereken?

(i) Hoeveel mense woon in landelike gebiede?

(ii) Hoeveel stemme het die ANC gewen?

(iii) Hoeveel pasiënte was rokers?

b) HOE het julle die antwoorde bereken?

15.2.1 ONTHOU!

Om persentasie van bedrae te bereken:

a) Skryf die persentasie as ’n breuk met noemer 100

OF

Skryf die persentasie as ’n desimale breuk

b) Vermenigvuldig met die aantal / getal / bedrag / hoeveelheid wat gegee is

In die voorbeeld hierbo:

58 = 58 100 size 12{"58"%= { { size 8{"58"} } over { size 8{"100"} } } } {}

58 100 × 41 224 000 1 58 41 224 000 100 = 23 909 920 mense alignl { stack { size 12{ { { size 8{"58"} } over { size 8{"100"} } } times { { size 8{"41"`"224"`"000"} } over { size 8{1} } } } {} #= { { size 8{"58"`` size 10{ times }``"41"`"224"`"000"} } over {"100"} } {} # size 12{ {}="23"`"909"`"920"` ital "mense"} {}} } {} OF (58 

15.2.2 Onthou ook!

Met ’n sakrekenaar : vermenigvuldig 41 224 000 met 58%

Jy sal dus insleutel: 58 ÷ 100 × 41 224 000 =

OF

58% × 41 224 000 =

15.3.1 Bereken die volgende sonder ’n sakrekenaar:

  1. 25% van R124, 16

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b) 50% van 30 mm

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15.3.2 Gebruik jou sakrekenaar en bereken:

  1. 15% van R3 500

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b) 12% van 25

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c) 37,5% van 22 kg

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d) 75% van R16,92

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16. Een hoeveelheid as ’n persentasie (%) van ’n ander hoeveelheid

16.1 Werk saam met ’n maat. Kyk goed na die volgende probleem en die oplossing.

Top Tiener Tooisels het 120 T-hemde laat druk waarvan 72 onmiddellik verkoop is. Watter % van die hemde is verkoop?

72 van die 120 T-hemde is verkoop: dus 72 120 size 12{ { { size 8{"72"} } over { size 8{"120"} } } } {} % beteken iets uit 100

Dus: 72 120 × 100 1 size 12{ { { size 8{"72"} } over { size 8{"120"} } } times { { size 8{"100"} } over { size 8{1} } } } {} =60%

16.2 ONTHOU!

Om % van bedrae te bereken:

a) Herlei eers na dieselfde eenheid

b) Druk die gegewe hoeveelhede as ’n breuk uit :

hoeveelheid (in dieselfde eenheid!)
ander hoeveelheid

c) Vermenigvuldig dit met 100

16.3 Bereken hoeveel persent (%) is: (Jy mag jou sakrekenaar gebruik).

a) 120 van 480

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b) 23 van 276

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c) 3 500 ml van 5 liter

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d) 750 g van 2 kg

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e) 4 uit 5 vir ’n toets

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f) 2 uit 3 balle

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Assessering

Leeruitkomste 1: Die leerder is in staat om getalle en die verwantskappe daarvan te herken, te beskryf en voor te stel, en om tydens probleemoplossing bevoeg en met selfvertroue te tel, te skat, te bereken en te kontroleer.

Assesseringstandaard 1.7: Dit is duidelik wanneer die leerder skat en bereken deur geskikte bewerkings vir probleme wat die volgende behels, te kies en te gebruik:

1.7.6 bepaling van persentasies;

Assesseringstandaard 1.9: Dit is duidelik wanneer die leerder ‘n verskeidenheid tegnieke gebruik om berekeninge te doen:

1.9.2 die gebruik van ‘n sakrekenaar;

Leeruitkomste 2: Die leerder is in staat om patrone en verwantskappe te herken, te beskryf en voor te stel en probleme op te los deur algebraïese taal en vaardighede te gebruik.

Assesseringstandaard 2.7: Dit is duidelik wanneer die leerder die ekwivalensie van verskillende beskrywings van dieselfde verhouding of reël, bepaal, ontleed en interpreteer, wat soos volg voorgestel word:

2.7.1 woordeliks.

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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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