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Mathematics

Grade 5

Ordinary and decimal fractions

Module 48

Recognise, classify, represent and compare numbers

Activity 1:

To recognise, classify, represent and compare numbers [lo 1.3.3]

To recognise and use equivalent forms of numbers [lo 1.5.2]

1. You have just completed a learning unit on ordinary fractions. Let us do some revision.

What fraction in each of the following figures is coloured in?

1.1

1.2

1.3

2. Write the answers above as decimal fractions.

Tenths

Refresh your memory!

We read 0,3 as nought comma three and we call it a decimal fraction .

The comma is called the decimal sign and it separates the whole numbers from the fractions.

Do you still remember?

1 10 size 12{ { {1} over {"10"} } } {}

3. Look at the number line and fill in the missing numbers.

4. Work together with a friend. Count aloud and complete the following:

4.1 0,2 ; 0,4 ; 0,6 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.2 4,7 ; 4,5 ; 4,3 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.3 0,5 ; 1,5 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.4 3,6 ; 3,2 ; .............. ; .............. ; .............. ; .............. ; .............. ;

4.5 9,2 ; 9,1 ; .............. ; .............. ; .............. ; .............. ; .............. ;

Do you still remember?

If I want to add 0,3 to the previous number repeatedly I can programme my calculator in this way: Number + 0,3 + = = =

Activity 2 :

To use a series of techniques to do mental arithmetic [lo 1.10.5]

By now you know that we can use the pocket calculator very effectively to find or check answers. Now that you have seen how to programme your pocket calculator or to add on, try to complete the following activity without making any mistakes. Programme your pocket calculator and write the first 10 answers to the following:

1.1 Start at 3,7 and add 0,6 each time:

1.2 Start at 9,3 and subtract 0,4 each time:

Activity 3:

  • To recognise, classify and represent numbers in order to describe and compare them [LO 1.3.3]
  • To recognise and use equivalent forms of numbers [LO 1.5.2]
  • To use a series of techniques to do mental arithmetic [LO 1.10.5]

In this activity we would like to see whether you can determine which ordinary fractions (mixed numbers) fit in with which decimal fractions. It is important for you to be able to see that 0,2kg is actually exactly the same as 2 10 size 12{ { {2} over {"10"} } } {} kg !

1. Link the ordinary fractions to their decimal fraction partners. Connect column A to the correct answer in column B.

A B
E.g. 0,2 kg 1 5 10 size 12{ { {5} over {"10"} } } {} / 1 1 2 size 12{ { {1} over {2} } } {} km
1.1 0,5 m 152 7 10 size 12{ { {7} over {"10"} } } {} km
1.2 17,6 litre 2 10 size 12{ { {2} over {"10"} } } {} kg
1.3 8,4 seconds 8 4 10 size 12{ { {4} over {"10"} } } {} sec
1.4 152,7 km 17 6 10 size 12{ { {6} over {"10"} } } {}
1.5 1,5 km 5 10 size 12{ { {5} over {"10"} } } {} / 1 2 size 12{ { {1} over {2} } } {} m

Challenge!

2. Work with a friend. Write the following fractions as decimal fractions:

2.1 4 5 size 12{ { {4} over {5} } } {} 2.2 2 20 size 12{ { {2} over {"20"} } } {}

2.3 3 5 size 12{ { {3} over {5} } } {} 2.4 7 20 size 12{ { {7} over {"20"} } } {}

2.5 18 30 size 12{ { {"18"} over {"30"} } } {} 2.6 48 60 size 12{ { {"48"} over {"60"} } } {}

3. Explain what must be done to get the above answers.

4. How can you check your answers with a calculator?

5. Now use a calculator to check your answers in no. 2.

Activity 4:

To be capable of doing mental arithmetic [lo 1.9]

1. You now have the opportunity of improving your mental arithmetic skills and applying your newly acquired knowledge. Complete the following mental arithmetic test as quickly and as accurately as possible:

Questions & Answers

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
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
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
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
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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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