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REKENVAARDIGHEDEN 2020,Inhoudsopgave
HOOFDSTUK 1: GETALLEN EN AFRONDEN ............................................................. 3
§1.1: GETALLENSOORTEN ..................................................................................................... 3
§1.2: GROTE GETALLEN ......................................................................................................... 3
§1.3: AFRONDEN ....................................................................................................................... 3
§1.4: OPGAVEN .................................................................................................................................. 5
§1.5: EINDANTWOORDEN .............................................................................................................. 5
HOOFDSTUK 2: REKENREGELS EN INVULLEN ...................................................... 6
§2.1: REKENREGELS ................................................................................................................ 6
§2.2: INVULLEN IN FORMULE ............................................................................................. 7
§2.3: OPGAVEN .................................................................................................................................. 8
§2.4: EINDANTWOORDEN .............................................................................................................. 8
HOOFDSTUK 3: BREUKEN .............................................................................................. 9
§3.1: BREUKEN .......................................................................................................................... 9
§3.2: Breuken gelijknamig maken en vereenvoudigen ........................................... 9
§3.3: Breuken optellen en aftrekken ............................................................................. 12
§3.4: Breuken vermenigvuldigen .................................................................................... 14
§3.5: Breuken delen .............................................................................................................. 16
§3.6: Andere sommen met breuken ............................................................................... 18
§3.7: OPGAVEN ................................................................................................................................ 18
§3.8: EINDANTWOORDEN ............................................................................................................ 18
HOOFDSTUK 4: PROCENTEN ...................................................................................... 19
§4.1: Procenten ....................................................................................................................... 19
§4.2: Rente over rente ......................................................................................................... 20
§4.3: Procentpunten en procenten ................................................................................. 20
§4.4: Verband percentages en breuken ....................................................................... 21
§4.5: BTW .................................................................................................................................. 21
§4.6: OPGAVEN ................................................................................................................................ 22
§4.7: EINDANTWOORDEN ............................................................................................................ 22
HOOFDSTUK 5: EENHEDEN ......................................................................................... 23
§5.1: LENGTE ............................................................................................................................ 23
§5.2: OMTREK .......................................................................................................................... 24
§5.3: Oppervlakte................................................................................................................... 24
§5.4: Inhoud ............................................................................................................................. 26
§5.5: LITERS ............................................................................................................................. 28
§5.6: GEWICHT ........................................................................................................................ 29
§5.7: TIJD .................................................................................................................................. 31
§5.8: SNELHEID....................................................................................................................... 32
§5.9: OPGAVEN ................................................................................................................................ 33
§5.10: EINDANTWOORDEN.......................................................................................................... 34
HOOFDSTUK 6: REDACTIESOMMEN ........................................................................ 35
§6.1: REDACTIESOMMEN..................................................................................................... 35
§6.2: OPGAVEN ................................................................................................................................ 38
§6.3: EINDANTWOORDEN ............................................................................................................ 39
2
,HOOFDSTUK 1: GETALLEN EN AFRONDEN
§1.1: GETALLENSOORTEN
Natuurlijke getallen: 1, 2, 3, 4, 5, 6, 7, 8 . . . . . . .
Gehele getallen: . . . . . -4, -3, -2, -1, 0, 1, 2, 3, 4 . . . . .
6 6 1 2
Rationele getallen (breuken): ,− , , , enz.
2 3 4 3
Reële getallen (alle getallen): 0,3333 … ., √2 = 1,41421 … . , π = 3,14159 …. enz.
§1.2: GROTE GETALLEN
Grote getallen:
1.000 duizend (kilo)
1.000.000 miljoen (mega)
1.000.000.000 miljard (giga)
1.000.000.000.000 biljoen (tera)
(enz. biljard, triljoen, triljard)
§1.3: AFRONDEN
Afronden op een geheel getal, d.w.z. afronden op 0 decimalen:
voorbeelden:
3,6 → 4
3,6
3 3,5 4
3,4 → 3
3,4
3 3,5 4
3,5 → 4
3,5
3 3,5 4
3
, Afronden op 2 decimalen:
voorbeelden:
2,345 → 2,35
2,345
2,34 2,345 2,35
2,3449 → 2,34
2,3449
2,34 2,345 2,35
2,346 → 2,35
2,346
2,34 2,345 2,35
Afronden op een veelvoud van 100:
voorbeelden:
23460 → 23500
23460
23400 23450 23500
23450 → 23500
23450
23400 23450 23500
23449 → 23400
23449
23400 23450 23500
4
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