<< Chapter < Page Chapter >> Page >
ANumber BRounded off to the nearest whole number
E.g. 2 8 10 size 12{2 { { size 8{8} } over { size 8{"10"} } } } {} 3
1.1 3 1 6 size 12{3 { { size 8{1} } over { size 8{6} } } } {} 5
1.2 3 5 8 size 12{3 { { size 8{5} } over { size 8{8} } } } {} 2
1.3 4 7 9 size 12{4 { { size 8{7} } over { size 8{9} } } } {} 7
1.4 2 2 5 size 12{2 { { size 8{2} } over { size 8{5} } } } {} 3
1.5 6 1 8 size 12{6 { { size 8{1} } over { size 8{8} } } } {} 4
1.6 7 1 4 size 12{7 { { size 8{1} } over { size 8{4} } } } {} 6

Activity 5:

To calculate through selection and use of suitable computations [lo 1.8.3]

1.1 Now answer the following questions:

a) 1 5 + 3 5 size 12{ { { size 8{1} } over { size 8{5} } } + { { size 8{3} } over { size 8{5} } } } {} = .........................

b) 1 1 5 + 2 5 size 12{1 { { size 8{1} } over { size 8{5} } } + { { size 8{2} } over { size 8{5} } } } {} = .........................

c) 2 5 + 4 5 size 12{ { { size 8{2} } over { size 8{5} } } + { { size 8{4} } over { size 8{5} } } } {} = .........................

d) 1 1 5 + 1 5 size 12{1 { { size 8{1} } over { size 8{5} } } + { { size 8{1} } over { size 8{5} } } } {} = .........................

e) Calculate:

2 3 + 7 9 size 12{ { { size 8{2} } over { size 8{3} } } + { { size 8{7} } over { size 8{9} } } } {} ; 4 5 + 9 10 size 12{ { { size 8{4} } over { size 8{5} } } + { { size 8{9} } over { size 8{"10"} } } } {}

5 6 + 2 3 size 12{ { { size 8{5} } over { size 8{6} } } + { { size 8{2} } over { size 8{3} } } } {} ; 7 8 + 3 4 size 12{ { { size 8{7} } over { size 8{8} } } + { { size 8{3} } over { size 8{4} } } } {}

5 8 + 1 2 size 12{ { { size 8{5} } over { size 8{8} } } + { { size 8{1} } over { size 8{2} } } } {} ; 1 4 + 5 8 size 12{ { { size 8{1} } over { size 8{4} } } + { { size 8{5} } over { size 8{8} } } } {}

Activity 6:

To calculate through selection and the use of suitable computations [lo 1.8.3]

To recognise and use equivalent forms of fractions [lo 1.5.1]

To write number sentences in order to describe a problem situation [lo 2.4]

1. Split up into groups of three. Work through the following problems and see if you can find solutions:

a) A farmer transports his fruit to the market by lorry. On arrival he discovers the following: one quarter of the bananas, one eighth of the apples and three eighths of the pears have become spoiled. Which fraction of the fruit could not be off-loaded to be sold at the market?

b) The learners of the Khayelitsha Primary School decided to add some colour to the informal settlement nearby. They painted two fifths of the shacks yellow. Later three tenths of the remaining shacks were painted blue.

i) What fraction of all the shacks was painted?

ii) What fraction still had to be painted?

iii) Which colour would you paint them and why?

c. Mrs Johnny decided to start a soup kitchen in her area.

i) If she gives 5 and seven ninths of the pea soup, and 3 and two thirds of the bean soup to less privileged people on a certain day, what fraction of the soup is eaten altogether on that specific day?

ii) What is your favourite kind of soup?

d. It takes 2 and a half hours to fly from Cape Town to Johannesburg. A flight from Johannesburg to London takes 9 and three quarters of an hour. How long will it take you altogether to fly to London if you depart from Cape Town? Give your answer as a mixed number.

e. Mrs Zuqa makes delicious fruit juices to give to the learners at school during break. She mixes 4 and three quarters of orange juice with 1 and a half litre of pineapple juice. What is the difference between these two quantities?

f. Mrs Sonn helps her friend to bake cakes for the learners. She buys 5 kg of sugar and uses 3 and a third of this quantity. How many kilograms of sugar are left?

2. Your teacher will now ask you to explain one of the above-mentioned problems to the rest of the class.

3. Compare your solutions to those of other groups in the class.

4. Discuss the differences and / or similarities between the different methods that were used.

Assessment

Learning outcomes(LOs)
LO 1
Numbers, Operations and RelationshipsThe learner is able to recognise, describe and represent numbers and their relationships, and counts, estimates, calculates and checks with competence and confidence in solving problems.
Assessment standards(ASs)
We know this when the learner:
1.1 counts forwards and backwards fractions;
1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history;
1.3 recognises and represents the following numbers in order to describe and compare them:
  • common fractions to at least twelfths;
1.5 recognises and uses equivalent forms of the numbers listed above, including:
1.5.1 common fractions with denominators that are multiples of each other;
1.6 solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues such as:
  • financial (including buying and selling, profit and loss, and simple budgets);

Memorandum

ACTIVITY 1

1.

1.1<1.2>

1.3>1.4<

1.5 = 1.6<

1.7 = 1.8<

1.9>1.10 =

2. 2.1 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {} 2.2 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {}

2.3 9 10 size 12{ { { size 8{9} } over { size 8{"10"} } } } {} 2.4 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

2.5 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} 2.6 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {}

CLASS DISCUSSION

First make both nominators the same by finding the smallest common denominator

OR

First simplify the fraction, if you can

3. 3.1>

3.2>

3.3 =

3.4 =

4. 4.1<

4.2<

4.3>

4.4>

Another BRAIN-TEASER!

5 6 size 12{ { { size 8{5} } over { size 8{6} } } } {} ; 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {} ; 2 3 size 12{ { { size 8{2} } over { size 8{3} } } } {} ; 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

ACTIVITY 3

1.

1.1 5 5 size 12{ { { size 8{5} } over { size 8{5} } } } {} 8 9 size 12{ { { size 8{8} } over { size 8{9} } } } {}
1.2 5 5 size 12{ { { size 8{5} } over { size 8{5} } } } {} 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {}
1.3 4 4 size 12{ { { size 8{4} } over { size 8{4} } } } {} 3 4 size 12{ { { size 8{3} } over { size 8{4} } } } {}
1.4 6 6 size 12{ { { size 8{6} } over { size 8{6} } } } {} 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {}
1.5 6 6 size 12{ { { size 8{6} } over { size 8{6} } } } {} 8 9 size 12{ { { size 8{8} } over { size 8{9} } } } {}

ACTIVITY 4

1.

  • 3 1 6 size 12{ { { size 8{1} } over { size 8{6} } } } {} size 12{ rightarrow } {} 3 1.2 3 5 8 size 12{ { { size 8{5} } over { size 8{8} } } } {} size 12{ rightarrow } {} 4

1.3 4 7 9 size 12{ { { size 8{7} } over { size 8{9} } } } {} size 12{ rightarrow } {} 5 1.4 2 2 5 size 12{ { { size 8{2} } over { size 8{5} } } } {} size 12{ rightarrow } {} 2

1.5 6 1 8 size 12{ { { size 8{1} } over { size 8{8} } } } {} size 12{ rightarrow } {} 6 1.6 7 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {} size 12{ rightarrow } {} 7

BRAIN-TEASER!

9

ACTIVITY 5

1.1

a) 4 5 size 12{ { { size 8{4} } over { size 8{5} } } } {} ;

b) 1 3 5 size 12{ { { size 8{3} } over { size 8{5} } } } {} ;

c) 1 1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {} ;

d) 1 2 5 size 12{ { { size 8{2} } over { size 8{5} } } } {}

e) (i) 1 4 9 size 12{ { { size 8{4} } over { size 8{9} } } } {}

(ii) 1 7 10 size 12{ { { size 8{7} } over { size 8{"10"} } } } {}

(iii) 1 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

(iv) 1 5 8 size 12{ { { size 8{5} } over { size 8{8} } } } {}

(v) 1 1 8 size 12{1 { { size 8{1} } over { size 8{8} } } } {}

(vi) 7 8 size 12{ { { size 8{7} } over { size 8{8} } } } {}

Questions & Answers

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
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.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
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
Do you know which machine is used to that process?
s.
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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