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Wiskunde

Graad 5

Gewone breuke en desimale breuke

Module 36

Seleksie en gebruik van bewerkings

Aktiwiteit 1:

Om te bereken deur seleksie en gebruik van bewerkings wat geskik is [lu 1.8.3]

Om waargenome verhoudings en reëls in eie woorde te beskryf [lu 2.2]

1. Kyk goed na die volgende probleme en verduidelik aan ‘n maat hoe jy te werk sal gaan om die antwoorde te bereken.

1.1 7 8 3 4 size 12{ { { size 8{7} } over { size 8{8} } } - { { size 8{3} } over { size 8{4} } } } {}

1.2 11 12 2 3 size 12{ { { size 8{"11"} } over { size 8{"12"} } } - { { size 8{2} } over { size 8{3} } } } {}

1.3 5 6 7 12 size 12{ { { size 8{5} } over { size 8{6} } } - { { size 8{7} } over { size 8{"12"} } } } {}

1.4 2 1 2 1 9 10 size 12{2 { { size 8{1} } over { size 8{2} } } - 1 { { size 8{9} } over { size 8{"10"} } } } {}

1.5 3 1 5 1 7 10 size 12{3 { { size 8{1} } over { size 8{5} } } - 1 { { size 8{7} } over { size 8{"10"} } } } {}

1.6 4 1 4 2 7 8 size 12{4 { { size 8{1} } over { size 8{4} } } - 2 { { size 8{7} } over { size 8{8} } } } {}

Bereken dan die antwoorde.

2. Kontroleer jou antwoorde saam met jou maat.

Aktiwiteit 2:

  • Om te bereken deur seleksie en gebruik van bewerkings wat geskik is [LU 1.8.6]
  • Om die gelykwaardigheid en geldigheid van verskillende voorstellings van dieselfde probleem deur vergelyking en bespreking te bepaal [LU 2.6.2]
  • Om waargenome verhoudings en reëls in eie woorde te beskryf [LU 2.2]

1. Ons kan breuke ook soms deur ‘n sirkelgrafiek voorstel. ’n Opname van ‘n Graad 5-klas se buitemuurse bedrywighede is gemaak en die resultate d.m.v. ‘n sirkelgrafiek voorgestel. Kyk of jy dit kan “lees” en voltooi dan die tabel.

Bedrywigheid Netbal Tennis Rugby Koor Skaak Swem
Breuk ........... ........... ........... ........... ........... ...........

2. Dit is belangrik dat ons die sirkelgrafiek en tabel moet kan interpreteer, anders kan ons nie sinvolle afleidings daaruit maak en probleme oplos nie. Werk saam met ’n maat deur die volgende probleem en kyk op hoeveel verskillende maniere ‘n mens dit kan oplos.

As daar 50 leerders in die klas is, hoeveel leerders speel netbal?

2.1 Die vraag is 3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} van 50.

1 10 size 12{ { { size 8{1} } over { size 8{"10"} } } } {} van 50 = 5

3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} van 50 sal dus 15 wees

2.2 Ek moet 3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} van 50 bereken. Ek kry eers 1 10 size 12{ { { size 8{1} } over { size 8{"10"} } } } {} deur die 50 deur 10 te deel.

50 ÷ 10 = 5

As een tiende 5 is, sal 3 tiendes 3 × 5 wees. Daar is dus 15 leerders wat netbal speel.

2.3 Dogters = 3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} van 50

Dus: = (50 ÷ 10) × 3

= 5 × 3

= 15

2.4 3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} van 50 = 3 × 1 10 size 12{ { { size 8{1} } over { size 8{"10"} } } } {} van 50

= 3 × 5

= 15

3. Wat, sou julle sê, is die “reël” vir hierdie “van”-somme?

4. Watter een van die bogenoemde metodes verkies jy?

Hoekom?

5. Kyk weer na die metode by 2.1 en 2.2. Wat merk jy op?

6. Kan jy sê hoeveel leerders in ons voorbeeld by Akt. 1.17 deelneem aan:

rugby? _______ swem? ________

7 Bereken nou:

7.1 7 12 size 12{ { { size 8{7} } over { size 8{"12"} } } } {} van 36

7.2 5 8 size 12{ { { size 8{5} } over { size 8{8} } } } {} van 32

7.3 6 7 size 12{ { { size 8{6} } over { size 8{7} } } } {} van 350

7.4 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} van 224

ONTHOU JY NOG?

1 000 m. = 1 liter

1 000 liter = 1 kℓ

1 000 g = 1 kg

1 000 kg = 1 t

1 000 mm = 1 m

1 000 m = 1 km

Aktiwiteit 3:

Om te bereken deur seleksie en gebruik van bewerkings wat geskik is [lu 1.8.6]

1. Kom ons kyk of jy nou die kennis wat jy tot dusver opgedoen het, suksesvol kan toepas. Werk op jou eie en bereken:

1.1 5 leerders deel 1 liter koeldrank. Hoeveel ml koeldrank kry elkeen?

1.2 Zane woon 2 km van die skool af. Hy het reeds 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} van die afstand afgelê. Hoe ver het Zane al gestap? (gee jou antwoord in meter)

1.3 Die massa van ’n pak meel is 1 kg. Ma benodig 3 10 size 12{ { { size 8{3} } over { size 8{"10"} } } } {} daarvan vir ’n koek. Wat is die massa van die meel wat sy gaan gebruik?

1.4 Joy koop 3 m materiaal, maar gebruik net 1 6 size 12{ { { size 8{1} } over { size 8{6} } } } {} daarvan vir ’n rokkie.

Watter breuk van die materiaal is nog oor?

Hoeveel materiaal is nog oor?

Aktiwiteit 4:

Om tabelle en getalle te gebruik om data te orden en aan te teken [lu 5.3]

Om ‘n grafiek te trek en te interpreteer [lu 5.5.1]

1. Die volgende is ‘n aktiwiteit vir jou portefeulje.

Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
I rally confuse this number And equations too I need exactly help
salma
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
salma
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
hi
salma
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris 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
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele 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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