<< 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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
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
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
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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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