際際滷

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Hoofdstuk 5
REKENVAARDIGHEDEN
2F
Schatten m.b.v. vuistregels
 Mens: 1.80 m en een stap 75 cm
 Vervoer: 5 kmh en 15 kmh
 Gebouw: 3 m verdieping 2 m deur
 NL: 16 mln mensen
 Vlak: 0.5 hectare
 Afstand: Hemelsbreed
 Schaal 1:500.000
 etc
Eenheden-lengte-Oppervlakte-Volume-Gewicht
 Lengte:






0
Opp:
00
Volume:
000
Oude maten: Dl cl cc
Oude maten: Are ha ca
Gewicht:
Ton Kg. g. mg.
tijd
 Mnd; wkn; dgn; (kwartaal 3 mnd)
 Eeuw Decennium
 Dagen tellen m.b.v. knokkelmethode
 Uur, min, sec (jrn dgn)
 1 uur is 3600 sec.
 3.6 kmh = 1 m/s
Snelheden en afronden
 S=vxt
 V=s/t
 T=s/t
 Tabel
 10 m/s = 36 kmh
 72 kmh = 72:3.6 m/s
 5 of hoger naar boven afronden
Grote en kleine getallen en Wetenschappelijke
notatie
 1000
 1000.000
 1000.000.000
 1000.000.000.000
 235.000

0,000.023.5

1x10 tot de macht 3
1x10 tot de macht 6
1x10 tot de macht 9
1x10 tot de macht 12
2,35x10 tot de macht 5
2,35x10 tot de macht -5
Machten (exponenten) en werkvolgorde
 X >>>> optellen
 : >>>> verschil
 . tot de macht 0 is 1
 Kwadraat <<>> Wortel
 Volgorde {[(.)]}
 M-V-D-W-O-A
 Phi = 3,14
Breuken en verhoudingen
 Rekenmachine
 Delen door een breuk is vermenigvuldigen met het

omgekeerde
 Decimale breuk 村 is 1 gedeeld door 4
 Of 1 staat tot 4 of 1 op 4
 Rekenen met Verhoudingstabel
Procent is per cent 1:100
 4% van 400 = 0.04x400
 4% bij 400 = 1,04x400
 4% af






400 = 0.96x400
Terugrekenen is {(N-O):O}x100= + of - %
Btw erbij is x1,21
Van incl BTW terugrekenen is :1,21x100
Promille is per 1000 of 1 : 1000
Rente (KxPxT): 3600/1200/1000
Exponenti谷le toe of afname
 Exponenti谷le functies: macht is de variabele
 Begingetal





startkapitaal  5000
Groeifactor 6% rente is groeifactor=1,06
Tijd 25 jaren
Toename
 5000x1,06 tot de macht 25
Afname
 5000x0,94 tot de macht 25 als

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Rekenen hoofdstuk 5

  • 2. Schatten m.b.v. vuistregels Mens: 1.80 m en een stap 75 cm Vervoer: 5 kmh en 15 kmh Gebouw: 3 m verdieping 2 m deur NL: 16 mln mensen Vlak: 0.5 hectare Afstand: Hemelsbreed Schaal 1:500.000 etc
  • 3. Eenheden-lengte-Oppervlakte-Volume-Gewicht Lengte: 0 Opp: 00 Volume: 000 Oude maten: Dl cl cc Oude maten: Are ha ca Gewicht: Ton Kg. g. mg.
  • 4. tijd Mnd; wkn; dgn; (kwartaal 3 mnd) Eeuw Decennium Dagen tellen m.b.v. knokkelmethode Uur, min, sec (jrn dgn) 1 uur is 3600 sec. 3.6 kmh = 1 m/s
  • 5. Snelheden en afronden S=vxt V=s/t T=s/t Tabel 10 m/s = 36 kmh 72 kmh = 72:3.6 m/s 5 of hoger naar boven afronden
  • 6. Grote en kleine getallen en Wetenschappelijke notatie 1000 1000.000 1000.000.000 1000.000.000.000 235.000 0,000.023.5 1x10 tot de macht 3 1x10 tot de macht 6 1x10 tot de macht 9 1x10 tot de macht 12 2,35x10 tot de macht 5 2,35x10 tot de macht -5
  • 7. Machten (exponenten) en werkvolgorde X >>>> optellen : >>>> verschil . tot de macht 0 is 1 Kwadraat <<>> Wortel Volgorde {[(.)]} M-V-D-W-O-A Phi = 3,14
  • 8. Breuken en verhoudingen Rekenmachine Delen door een breuk is vermenigvuldigen met het omgekeerde Decimale breuk 村 is 1 gedeeld door 4 Of 1 staat tot 4 of 1 op 4 Rekenen met Verhoudingstabel
  • 9. Procent is per cent 1:100 4% van 400 = 0.04x400 4% bij 400 = 1,04x400 4% af 400 = 0.96x400 Terugrekenen is {(N-O):O}x100= + of - % Btw erbij is x1,21 Van incl BTW terugrekenen is :1,21x100 Promille is per 1000 of 1 : 1000 Rente (KxPxT): 3600/1200/1000
  • 10. Exponenti谷le toe of afname Exponenti谷le functies: macht is de variabele Begingetal startkapitaal 5000 Groeifactor 6% rente is groeifactor=1,06 Tijd 25 jaren Toename 5000x1,06 tot de macht 25 Afname 5000x0,94 tot de macht 25 als