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3.6 Deling deur veelvoude van 10

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Wiskunde

Desimale breuke

Opvoeders afdeling

Memorandum

23.4.2 a) 0,041

  1. 0,81
  2. 0,0093
  • b en c

23.6 a) 1,234

  1. 0,845
  2. 7,23

25. a) R51

  1. R211,59
  2. 21160c
  3. R2,90
  4. Ja

Koste per oproep: R1,77

  1. 91,5
  2. R102,13
  3. R1,28 x 24 = R30,72
  4. R3,27
  5. Eie antwoord

Leerders afdeling

Inhoud

Aktiwiteit: deling deur veelvoude van 10 [lu 1.5.1, lu 1.7.5]

23.4 DELING DEUR VEELVOUDE VAN 10

23.4.1 Onthou jy nog?

a) As ek 0,8 deur 40 moet deel, doen ek dit so:

0,8 ÷ 40 = (0,8 ÷ 10) ÷ 4

= 0,08 ÷ 4

= 0,02

b) As ek 4,2 deur 600 moet deel, sê ek:

4,2 ÷ 600 = (4,2 ÷ 100) ÷ 6

= 0,042 ÷ 6

= 0,007

23.4.2 Bereken die volgende sonder ’n sakrekenaar:

a) j = 3,28 ÷ 80

…………………………………………………………………………………………..

…………………………………………………………………………………………..

b) d = 567 ÷ 700

…………………………………………………………………………………………..

…………………………………………………………………………………………..

c) g = 18,6 ÷ 2 000

…………………………………………………………………………………………..

…………………………………………………………………………………………..

23.5 DELING DEUR DESIMALE BREUKE

23.5.1 Werk saam met ’n maat deur die volgende voorbeelde:

’n Rol materiaal is 11,25 m lank. Om een rok te maak, word 1,5 m materiaal benodig. Hoeveel rokke kan uit die rol materiaal gesny word?

a) Ek moet 11,25 ÷ 1,5 bereken.Ek verander die desimale getalle eers na breuke :

11 , 25 = 11 25 100 = 11 1 4 size 12{"11","25"="11" { { size 8{"25"} } over { size 8{"100"} } } ="11" { { size 8{1} } over { size 8{4} } } } {} en 1,5 = 1 5 10 = 1 1 2 size 12{1,5=1 { { size 8{5} } over { size 8{"10"} } } =1 { { size 8{1} } over { size 8{2} } } } {}

11 1 4 ÷ 1 1 2 = 45 4 ÷ 3 2 45 4 × 2 3 7 1 2 alignl { stack { size 12{"11" { { size 8{1} } over { size 8{4} } } div 1 { { size 8{1} } over { size 8{2} } } = { { size 8{"45"} } over { size 8{4} } } div { { size 8{3} } over { size 8{2} } } } {} #= { { size 8{"45"} } over { size 8{4} } } times { { size 8{2} } over { size 8{3} } } {} # =7 { { size 8{1} } over { size 8{2} } } {}} } {}

Ek maak gebruik van ekwivalente breuke :

11 , 25 ÷ 1,5 = 11 , 25 1,5 × 10 10 = 112 , 5 15 7,5 7 1 2 alignl { stack { size 12{"11","25" div 1,5= { { size 8{"11","25"} } over { size 8{1,5} } } times { { size 8{"10"} } over { size 8{"10"} } } = { { size 8{"112",5} } over { size 8{"15"} } } } {} #=7,5 {} # =7 { { size 8{1} } over { size 8{2} } } ` {}} } {}

c) Ek moet 11,25 ÷ 1,5 bereken.Ek wil die deler na ’n heelgetal verander sodat ek makliker kan deel.

1,5 × 10 = 15

Nou moet ek net die deeltal ook met 10 vermenigvuldig!

11,25 × 10 = 112,5

Die antwoord is dus 7,5 rokke.

23.5.2 Watter van die bogenoemde metodes is eintlik presies dieselfde?

…………………………………………………………………………………………..

…………………………………………………………………………………………..

23.6 Bereken die volgende deur eers die deler na ’n heelgetal te verander:

a) q = 0,88848 ÷ 0,72

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

b) p = 0,14365 ÷ 0,17

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

c) v = 0,30366 ÷ 0,042

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

…………………………………………………………………………………………..

24. Tyd vir selfassessering

  • Merk die toepaslike blokkie met ’n regmerkie:
 JA NEE
Ek kan desimale breuke korrek deur 10 deel
Ek kan desimale breuke korrek deur 100 deel
Ek kan desimale breuke korrek deur 1 000 deel
Ek weet hoe om desimale breuke deur veelvoude van 10 te deel
Ek kan desimale breuke korrek deur desimale breuke deel

25. Kyk na die volgende telefoonrekening en beantwoord dan die vrae. Jy mag jou sakrekenaar gebruik.

a) Rond die koste van die oorsese oproep af tot die naaste rand. ………………..

b) Wat was die totale koste van die oproepe wat gemaak is? ……………………

c) Rond bogenoemde antwoord af tot die naaste sent. …………………………

d) What was the average cost of each cell phone (Vodacom) call? ………………

e) Is MTN goedkoper as Vodacom? ......................... Motiveer.

…………………………………………………………………………………………..

f) Rond die koste van die nasionale oproepe (0 – 50 km) af tot 1 syfer na die desimale teken.

…………………………………………………………………………………………..

g) Wat is die totale koste van die nasionale oproepe? ……………………………

h) As twee “ShareCall” oproepe R1,28 kos, wat sal 48 sulke oproepe kos?

…………………………………………………………………………………………..

i) Die rekening word betaal met ’n R200-noot en ‘n R20-noot. Hoeveel kleingeld moet jy kry?

…………………………………………………………………………………………..

j) Wat is JULLE telefoonrekening gemiddeld per maand oor ‘n tydperk van een jaar?

…………………………………………………………………………………………..

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 1.5: Dit is duidelik wanneer die leerder probleme in konteks oplos, insluitend kontekste wat gebruik kan word om ‘n bewustheid van ander leerareas, asook van menseregte-, sosiale, ekonomiese en omgewingsake, te bevorder, soos:

1.5.1 finansiële kontekste (insluitend wins en verlies, begrotings, rekeninge, lenings, enkelvoudige rente, huurkoop, wisselkoerse);

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:

1.7.5 deling van positiewe desimale getalle van minstens 3 desimale plekke deur heelgetalle.

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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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