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Wiskunde

Graad 5

Vermenigvuldiging en deling

Module 30

Vermenigvuldiging

Vermenigvuldiging

Aktiwiteit 1:

Om die veelvoude van enkelsyfergetalle te herken en voor te stel [lu 1.3.6]

Ek dink jy weet reeds hoe belangrik dit is om jou tafels goed te ken! In hierdie leereenheid sal dit jou help om sommer vinnig en korrek te vermenigvuldig. Kom ons kyk hoe goed ken jy jou tafels.

1. Haal die vrugtelekkers met die korrekte antwoorde uit die fles. Kleur hulle netjies in en skryf dan die letter van die alfabet wat daarop is neer. Vul so die ontbrekende woord in:

________________is ’n korter manier om herhaalde optelling te doen.

1.1 5 × 4

1.2 2 × 3

1.3 7 × 7

1.4 7 × 4

1.5 5 × 5

1.6 7 × 3

1.7 6 × 4

1.8 9 × 2

1.9 9 × 7

1.10 9 × 9

1.11 7 × 6

1.12 3 × 5

1.13 8 × 8

1.14 12 × 4

1.15 6 × 12

1.16 9 × 12

1.17 6 × 6

Aktiwiteit 2:

Om die faktore van minstens enige tweesyferheelgetal te herken en voor te stel [lu 1.3.7]

  1. Noudat jy presies weet wat “faktore” is, kan jy seker hul belangrikste funksie in vermenigvuldiging sien. Faktore help ons ook om ons antwoorde te toets wanneer ons vermenigvuldig. Ja, jy is reg! Ons gebruik dit om mee te deel wanneer ons wil toets of ons korrek vermenigvuldig het. Kyk nou hoeveel faktorpare jy vir die volgende getalle kan neerskryf.
a) 24 = ____ × ____
= _____ × _____
= _____ × ______
b) 36 = _____ × ______
= _____ × ______
= _____ × ______
= ______ × ______
= ______ × ______

2. Kom ons oefen die faktore nog ‘n bietjie. Kyk na die produkte (getalle) en skryf dan gepaste faktore vir hulle neer. Die eerste een is vir jou gedoen.

42 45 63 54 64
7 × 6 ...................... ...................... ...................... ....................................
72 108 48 88 96
...................... ...................... ...................... ...................... ....................................

Onthou jy ook nog?

Enige getal vermenigvuldig met 0 se antwoord is altyd 0 . (0 × 6 = 0)

Enige getal vermenigvuldig met 1 se antwoord is altyd die getal self. (9 × 1 = 9)

Aktiwiteit 3:

Om hoofrekene te kan doen [lu 1.9.2]

Nou word die faktore vir jou gegee. Al wat jy in jou eerste hoofrekentoets moet doen, is om goed na die vermenigvuldigingstabel en faktore te kyk en dan net die ontbrekende antwoorde neer te skryf. Sommer maklik, of hoe?

X 4 5 6 7 8 9 12
5 20 ............ 30 ............ 40 ............ 60
6 ............ 30 36 42 ............ 54 ............
7 28 ............ 42 ............ 56 ............ 84
8 ............ 40 ............ 56 ............ 72 ............
9 ............ ............ 54 ............ 72 ............ 108
2 48 60 ............ 84 ............ 108 ............

Voltooi: Ek het ......................... reg!

Aktiwiteit 4:

Om verskillende maniere van skryf in verskillende kulture te beskryf en te illustreer [lu 1.2]

Deur getalle te verdubbel kan ons vinniger by die antwoord van ‘n vermenigvuldigsom uitkom. Ons kan dus hier van die Egiptenare leer. Werk saam met ‘n maat en kyk of julle kan uitvind hoe hulle hierdie berekening gedoen het.

28 × 324

1 × 324: 324 (1 × 324)
Verdubbel 324: 648 (2 × 324)
Verdubbel 648: 1 296 (4 × 324)
Verdubbel 1 296: 2 592 (8 × 324)
Verdubbel 2 592: 5 184 (16 × 324)
Dus: 28 × 324 = 9 072

Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
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
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali 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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