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Wiskunde

Getalbegrip, optelling en aftrekking

Optelling

Opvoeders afdeling

Memorandum

1.1 xi

1.2 xv

1.3 horlosies

2.

2.1 XLII

2.2 XCIX

2.3 MMDL

3.

3.1 608

3.2 65

3.3 3 257

4. Gaan verskil van jaar tot jaar

Kopkrapper

1. Skuif “minus” tot voor “x” sodat som lees 1 x 1 = 1

2.vat een by = weg en sit by – sodat som lees 1 = 111 – 11

Leerders afdeling

Inhoud

Aktiwiteit: om die skryfwyses van verskillende kulture te beskryf en te illustreer [lu 1.2]

  • Kan jy hieruit aflei hoe die Romeine 11 sou skryf?

_____________________________________________________________________

1.2 Hoe sou hulle 15 skryf?

_____________________________________________________________________

1.3 Waar word hierdie Romeinse syfers vandag nog gebruik?

_____________________________________________________________________

  • Kyk ook goed na die volgende:
Ons: 10 20 30 40 50 60 70 80 90 100
Romeine: X XX XXX XL L LX LXX LXXX XC C
Ons: 100 200 300 400 500 600 700 800 900 1 000
Romeine: C CC CCC CD D DC DCC DCCC CM M

2. Gebruik nou die bostaande inligting en bereken die volgende.Skryf jou antwoord in Romeinse syfers:

  • 40 + 2 ________________________________________________________

2.2 90 + 9 ________________________________________________________

2.3 2 000 + 500 + 50 _______________________________________________

3. Jy het nou so pas geoefen om soos die Romeine te skryf. Hieronder is nog ‘n paar voorbeelde van hoe hulle ‘n sekere getal sou skryf. Kan jy dit in gewone (ons) syfers skryf?

3.1 DCVIII ________________________________________________________

3.2 LXV ________________________________________________________

3.3 MMMCCLVII __________________________________________________

4. Kan jy ons huidige jaartal in Romeinse syfers skryf?

Kopkrapper!

Die volgende vuurhoutjies is in Romeinse syfers gepak, maar die antwoorde is verkeerd. Kan jy deur net EEN vuurhoutjie te skuif, die som “regmaak” sodat die antwoord korrek sal wees?

TYD VIR SELFASSESSERING

Beoordeel jouself op ‘n skaal 1 – 4 deur net ‘n sirkel te trek wat waar is van jou:

Ek kan Glad nie Soms Meeste van die tyd Altyd
my sakrekenaar se konstante funksie gebruik vir herhaalde optelling. 1 2 3 4
Romeinse syfers neerskryf vir ons syfers. 1 2 3 4
Optel en die antwoord in Romeinse syfers gee. 1 2 3 4
Romeinse syfers in gewone syfers skryf. 1 2 3 4

Die Romeinse telstelsel raak egter baie ingewikkeld. Die desimale stelsel wat ons gebruik, is meer prakties. Kom ons kyk nou na die verskillende maniere waarop ons kan optel.

ONTHOU JY NOG?

  • Die antwoord van ’n optelsom word die SOM VAN die twee getalle genoem.
  • Die INVERSE (omgekeerde) bewerking van optelling is AFTREKKING.

HET JY GEWEET?

Die volgorde waarin getalle opgetel word, maak geen verskil aan die antwoord nie!

Byvoorbeeld: 5 + 4 = 4 + 5
9 = 9
So ook: (16 + 14) + 12 = 16 + (14 + 12)
30 + 12 = 16 + 26
42 = 42

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 1.2: Dit is duidelik wanneer die leerder verskeie maniere beskryf en illustreer om getalle neer te skryf deur die geskiedenis heen in verskillende kulture (insluitend plaaslik).

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Wiskunde graad 5. OpenStax CNX. Sep 07, 2009 Download for free at http://cnx.org/content/col10993/1.1
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