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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?

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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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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

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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

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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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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