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Mathematics

Grade 5

Ordinary and decimal fractions

Module 49

Tables and checks to arrange and record data

Activity 1:

To use tables and checks to arrange and record data [lo 5.3]

1. Use your existing knowledge to complete the following table:

T U t h
E.g. 5 9 8 = 5 98 100 size 12{ { { size 8{"98"} } over { size 8{"100"} } } } {} = 5,98
1.1 3 6 = _____ = _____
1.2 1 7 = _____ = _____
1.3 3 6 = _____ = _____
1.4 4 2 8 5 = _____ = _____
1.5 4 7 0 3 = _____ = _____

Brain-teaser!

What will the following fractions look like if written as decimal fractions on the calculator?

1. 3 100 size 12{ { {3} over {"100"} } } {} ______

2. 9 100 size 12{ { {9} over {"100"} } } {} ______

3. 40 100 size 12{ { {"40"} over {"100"} } } {} ______

4. 80 100 size 12{ { {"80"} over {"100"} } } {} ______

5. 37 100 size 12{ { {"37"} over {"100"} } } {} ______

6. 59 100 size 12{ { {"59"} over {"100"} } } {} ______

How do the answers of 3 and 4 differ from the rest?

Why is this?

Did you know?

Normally we don’t write the noughts at the end of decimal fractions, but in the following cases we do:

a) When we work with money : R8,60 (shows how many cents there are).

b) When we time an athlete with a stop-watch : 7,30 seconds. This is how we give results to the hundredth of a second.

  1. When Mom buys material : 1,70 m (so that the saleslady knows exactly how many cm to cut).

Activity 2:

To recognise and represent numbers [lo 1.3.3]

1. It is sometimes difficult to determine exactly where a decimal number fits into the greater whole. A number line is a handy way of helping you to determine this, because it helps you to “see” the sequence of the numbers. Draw arrows and label with the letters given to indicate more or less where the following numbers will be on the number line:

A : 5,82

B : 5,99

C : 6,09

D : 6,24

Activity 3:

To use a series of techniques to do mental arithmetic [lo 1.10.2]

1. Let us play a game!

Work with a friend. Take turns. Close your eyes and press on any number in the diagram on the next page with the back of your pencil. Open your eyes and tell your friend what the number consists of:

e.g. 14,38 = 14 + 3 10 size 12{ { {3} over {"10"} } } {} + 8 100 size 12{ { {8} over {"100"} } } {}

Colour in every number you get right green. Your friend colours all his / her correct numbers blue. The one who has something wrong misses a turn. The one who has coloured in the most blocks, wins.

Activity 4:

To recognise and classify numbers in order to compare them [lo 1.3.3]

1. By now you know how to write tenths and hundredths as decimal fractions. Look very carefully at the following numbers. Replace the * with<,>or =.

Hint: You should break the numbers up as in the game above if you have any doubts about the correct answer.

1.1 1,7 * 1,07 _____

1.2 0,6 * 0,06 _____

1.3 0,58 * 0,9 _____

1.4 0,34 * 0,4 _____

1.5 2,05 * 2,5 _____

1.6 1,8 * 1,80 _____

Brain-teaser!

What does one quarter ( 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {} ) look like as a decimal fraction?

Can you write the following as decimal fractions?

a) 3 4 size 12{ { {3} over {4} } } {} : _____

b) 1 25 size 12{ { {1} over {"25"} } } {} : _____

c) 3 20 size 12{ { {3} over {"20"} } } {} : _____

d) 17 50 size 12{ { {"17"} over {"50"} } } {} : _____

Activity 5:

To use tables and checks in order to arrange and record data [lo 5.3]

1. Challenge!

Take a measuring tape and measure the height of five of your class mates (to 2 digits after the decimal comma). List your results in a table and number your friends from the shortest to the tallest.

Name Height Numbered:short to tall
1.1
1.2
1.3
1.4
1.5

Thousandths

Did you know?

When I write one thousandth 1 1000 size 12{ { {1} over {"1000"} } } {} as a decimal fraction, it will be 0,001.

Questions & Answers

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
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
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
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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