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Wiskunde

Graad 8

Getallestelsel

(natuurlike- en telgetalle)

Module 5

Vermenigvuldiging in algebra

KLASOPDRAG 1

  • Kom ontdek stap vir stap meer omtrent VERMENIGVULDIGING in ALGEBRA….

1. Waaraan sal die volgende gelyk wees aan? .....

1.1: 2 x 2 x 2 = ......................... (en in eksponensiële vorm? ......................... )

1.2: 2² x 2² x 2 3 x 3² x 3 3 = .........................

(en in eksponensiële vorm? ......................... )

  • :a x a x a = .........................

1.4: a ² x a ² x a 3 = .........................

Skryf nou ‘n algemene reël vir die vermenigvuldiging van eksponente hier neer:

1.5: 2( a - b ) = .........................

distributiewe wet: (2 x a ) - (2 x b )

1.6: 3 0 = .........................

1.7: a ( a + b ) 0 = .........................

Dus : (enige iets) tot die mag 0 = .........................

1.8: 3 1 = .........................

1.9: 1 200 = .........................

2. Wat beteken elk van die volgende? Gee dan die vereenvoudigde antwoord van elk.

2.1: a ² =

2.2: 2 ab =

2.3: -3( a + b ) =

2.4: 4( a )² =

2.5: ( a 3 )² =

2.6: (3 a ²) 3 =

2.7: 2 p x 3 p =

2.8: ab ² x a ² b 3 x ab 6 =

2.9: ( 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} a 3 ) 4 =

2.10: 2( a 3 )² =

2.11: 6(2 a - 3 b ) =

2.12: -7 a ( a ² - 2 b ² ) =

3. Kan jy nog die volgorde van bewerkings onthou? Skryf dit neer.....

3.1 Bereken nou die volgende deur alles wat jy tot dusver geleer het, te onthou:

3.1.1: a x a x aaa + a 4

3.1.2: 2( a + b ) - 3( a - b )

3.1.3: 3 a x 2 a ²b + 5 a ² x (-3 ab )

3.1.4 : -5 a ( a - b 3 ) + 7 ab 3 - 2 a 5

3.1.5: -3( a ² b 4 )² - 5 a 3 (-2 a 4 b ²) 3

4. Wat beteken die woord substitusie?

Gee ‘n voorbeeld om ter verduideliking:

5. As a = 5 ; b = -1 en c = 3 , bereken die waarde van elk van die volgende:

5.1: 5 a ² - 3 b

5.2: 2 ab 2 3a size 12{ { {2 size 11{ bold "ab" rSup { size 8{2} } }} over { size 12{3a} } } } {}

5.3: a + b ² a b size 12{ { { size 11{a}" "+" " size 11{b}²} over { size 11{a}` - ` size 11{b}} } } {}

5.4: (2 ab ² c

5.5: -3 ab 3 - 2 ab 3 c

HUISWERKOPDRAG 1

1. Vereenvoudig elk van die volgende:

1.1: ( a 5 ) 6

1.2: 5(3 a - 7 a

1.3: -5(3 a - 2 b )

1.4: (3 a )² . [ (2 a )² ] 3

1.5: p x 2 x m x q

1.6: w ² x 3 b x 1 / 3 b x w

1.7: -5 a ( 3 a - 5 ab )

1.8: (3 a )² (2 a ) + (4 a ²) (-2 a )

1.9: (5 ab ²) 4 - (- 6 b 6 a 4 )

1.10: -6 a ² b ( 2 a ² - 3 ab 3 + 5)

2. As x = -2 en y = -1 , bepaal die waarde van ...

2.1: (2 y )(2 x size 12{x} {}

2.2: -3 x size 12{x} {} 3 - 2 y 5

2.3: (2 y + 2 x size 12{x} {}

3. As m = 2 ; n = -3 en q = 5, bepaal die waarde van elk van die volgende uitdrukkings:

3.1: m + n + q

3.2: 4 m - 2 n - 3 q

3.3: 2( m ² + q ²) - n ²

3.4: m / 3 + n / 4 - q

3.5: 3 m ( n + q ) - 2( m + n ²)

4. Uitdaging: Kyk of jy met al die kennis tot jou beskikking die volgende probleme kan oplos.

4.1 Die gemiddelde spoed van ‘n Intercape Mainliner is 5 a 4 kilometer per uur.Watter afstand sal die bus in (5 a 3 + 5 a - 6) uur aflê?

4.2 Mej. Suid - Afrika koop ( a - b + 2 c ) liter melk teen 4ab rand per liter en 5ab liter vrugtesap teen (2 a + 5 b - 3 c ) rand per liter.

Wat sal die bogenoemde altesaam kos?

Assessering 2.3

Assessering van myself: deur myself: Assessering deur opvoeder:
Ek kan… 1 2 3 4 Kritieke Uitkomste 1 2 3 4
uitdrukkings in eksponensiële vorm skryf; (Lu 2.2; 1.6.3) Kritiese en skeppende denke
eksponente suksesvol bymekaar tel; (Lu 2.2; 1.6.3) Deelname
eksponente suksesvol van mekaar aftrek; (Lu 2.2; 1.6.3) Organisering en bestuur
eksponente suksesvol met mekaar vermenigvuldig; (Lu 2.2; 2.8.3&.4) Prosessering van inligting
uitdrukkings met hakies oplos; (Lu 2.2; 2.8.5) Kommunikasie
die volgorde van bewerkings onthou; (Lu 2.2; 2.8.5) Probleemoplossing
waardes van uitdrukkings bereken d.m.v. substitusie. (Lu 2.2; 2.8.5; 1.6.2; 1.6.3)
Selfstandigheid

Questions & Answers

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
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 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
How can I make nanorobot?
Lily
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Source:  OpenStax, Wiskunde graad 8. OpenStax CNX. Sep 11, 2009 Download for free at http://cnx.org/content/col11033/1.1
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