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Wiskunde

Getalbegrip, optelling en aftrekking

Aftrekking

Opvoeders afdeling

Memorandum

1.1 27 848

1.2 18 121

1.3 254 706

2.1 8 486 – 5 456 = 3 030

84 381 – 54 351 = 30 030

86 488 – 56 455 = 30 033

816 823 – 516 523 = 300 300

814 886 – 514 556 = 300 330

2.2 297 300

3.1 (b) R27 414

3.2 (a) 22 526

(b) 65 778

(c) 668 544

Kopkrapper

(a) 378 – 111 = 267 – 110 = 157 – 10 = 147

(b) 2 598 – 1 111 = 1 487 – 1 111 = 376 – 110 = 266

(c) 14 210 – 110 = 14 100 – 100 = 14 000

LEERDERS AFDELING

Inhoud

Aktiwiteit: om ‘n reeks tegnieke te gebruik om berekeninge te doen [lu 1.10]

Om strategieë te gebruik om oplossings te kontroleer [lu 1.11]

1. Jy het nou deur verskeie metodes gewerk om die verskil te bereken. Kies nou enige van hierdie metodes en bereken die volgende:

1.1 __________ = 54 321 – 26 473

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1.2 __________= 63 904 – 45 783

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1.3 __________= 486 213 – 231 507

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2. 2.1 Kom ons jaag resies. Kyk of jy jou maat kan wen. Onthou net om netjies te werk. Kyk goed na elke getal.

  • Kyk goed na elke getal.
  • Vervang elke keer die syfer 8 deur ’n 5.
  • Skryf die nuwe getal direk daaronder neer.
  • Bereken dan die verskil tussen die twee getalle en skryf die antwoord in die heelonderste spasie neer.

Bv.

2.2 Wat is die verskil tussen die grootste en kleinste antwoord?

_____________________________________________________________________

2.3 Vergelyk jou antwoorde met jou maat s’n.

2.4 Kontroleer jul antwoorde met ’n sakrekenaar.

3. Nou wys ons jou nog ‘n tegniek om die verskil tussen twee getalle te bereken.

3.1 Werk weer in groepe van drie. Lees die volgende probleme goed deur en kontroleer die oplossings deur dit vir mekaar te verduidelik.

a) Kayla se pa koop ’n splinternuwe Renault Scenic vir R147 293 en Wayne se pa ’n tweedehandse motor vir R69 475. Watter bedrag het Kayla se pa meer betaal?

Kayla se pa betaal R77 818 meer.

b) Roberto moet baie oorsee bel en sy telefoonrekening is gevolglik R30 000. Carli gebruik haar selfoon om oproepe te maak en haar rekening beloop R2 586. Met watter bedrag was Carli se telefoonrekening minder?

Carli betaal R27 414 minder.

3.2 Bereken die volgende deur bogenoemde metode te gebruik:

a) __________= 42 063 – 19 537

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_____________________________________________________________________

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b) __________= 264 136 – 198 358

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c) __________= 900 000 – 231 456

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TYD VIR SELFASSESSERING

Ons het nou na verskillende tegnieke/strategieë gekyk om berekeninge te doen en te kontroleer. Hoe voel JY oor die werk wat ons so pas afgehandel het?

Evalueer jouself deur ‘n sirkel te trek om die syfer in die toepaslike blokkie.

** HEELTEMAL ONSEKER BIETJIE SEKER REDELIK SEKER DOOD­SEKER
Ek kan korrek afrond tot die naaste 1 000 1 2 3 4
Ek kan aftrek deur by te tel 1 2 3 4
Ek kan die verskil d.m.v. afronding bereken 1 2 3 4
Ek kan aftrek deur getalle in uitgebreide notasie te hergroepeer 1 2 3 4
Ek kan met negatiewe getalle werk 1 2 3 4
Ek kan vertikaal aftrek 1 2 3 4

** Vra jou opvoeder se hulp.

Kopkrapper!

Jy mag net die volgende sleutels van jou sakrekenaar gebruik:

1 ; – ; 0 ; =

Kyk of jy die eerste getal na die tweede getal kan verander.

Bv . Verander 1 416 na 285

1 416 – 1 110 = 306 – 11 = 295 – 10 = 285

a) Verander 378 na 147

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b) Verander 2 598 na 266

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c) Verander 14 210 na 14 000

_____________________________________________________________________

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 1.10: Dit is duidelik wanneer die leerder ‘n verskeidenheid tegnieke gebruik om sowel skriftelike as hoofberekeninge met heelgetalle te doen, insluitend:

1.10.1 optelling en aftrekking in kolomme;

Assesseringstandaard 1.11: Dit is duidelik wanneer die leerder ‘n verskeidenheid strategieë gebruik om oplossings te kontroleer en die redelikheid van oplossings te beoordeel.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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 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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