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Mathematics

Grade 5

Multiplication and division

Module 33

Division

Activity 1:

To be able to do mental arithmetic [lo 1.10]

  1. You already know how important it is to be able to do mental arithmetic. You also know how important it is to know your tables. Doing mental arithmetic and knowing your tables will help you do division correctly, too. Let us start right away! Do you also like dried sausage ("droëwors")? Work with a friend. Look closely at the two "sausage machines". The one who is first to give the answers is the fastest sausage maker!

Who won?

2. Work on your own and colour in according to the code: 4 = dark grey ; 5 = pink ; 6 = light grey ; 7 = black ; 9 = red.

3. Complete the tables:

34
3.1 Divided by 3 4 5 6 7 8 9
Remainders 1 ............ ............ ............ ............ ............ ............
61
3.2 Divided by 2 5 6 7 8 9 10
Remainders 1 ............ ............ ............ ............ ............ ............

4. Let us see how well you do in the following mental test. Complete it as quickly and accurately as you can:

4.1 35 – 5 – 5 – 5 = ............ 4.11 108 – 12 – 12 – 12 = ............
4.2 64 – 8 – 8 = ............ 4.12 72 – 9 – 9 = ............
4.3 42 ÷ 7 = ............ 4.13 Halve: 612: ............
4.4 54 ÷ 6 = ............ 4.14 Halve: 487: ............
4.5 ............ ÷ 7 = 8 4.15 Halve: 1 036: ............
4.6 ............ ÷ 12 = 6 4.16 ............ ÷ 9 = 4
4.7 28 ÷ 4 = ............ 4.17 ............ ÷ 8 = 6
4.8 280 ÷ 4 = ............ 4.18 60 ÷ ............ = 5
4.9 280 ÷ 40 = ............ 4.19 36 ÷ ............ = 4
4.10 2 800 ÷ 40 = ............ 4.20 3 600 ÷ 90 = ............

DID YOU KNOW?

Division is the inverse of multiplication.

Thus: 5 × 3 = 1515 ÷ 3 = 5 en15 ÷ 5 = 3

When I want to check a division sum, I multiply. When I check a multiplication sum, I divide

Activity 2:

To recognise, describe and use the reciprocal relation between multiplication and division

[lo 1.12.1]

1. Now use your knowledge of the "inverse" to complete the following:

1.1 If 26 × 17 = 442, then 442 ÷ 17 = ................ and 442 ÷ ................ = 17

  • If 24 × 30 = 720, then 720 ÷ ................ = 24 and 720 ÷ 24 = ................

DID YOU ALSO KNOW?

When we divide, we do the following:

REPEATED SUBTRACTION

12 ÷ 3 = 12 – 3 – 3 – 3 – 3 = 4

GROUPING

12 ÷ 3: We must divide 12 into 3 equal groups

DIVISION

12 ÷ 3: We must divide 12 equally between 3

123

Activity 3:

To recognise and represent numbers and to describe and compare them [lo 1.3]

1. Let us do revision. Do you remember what happens when we divide any number by 1? Work with a friend and find the answers to the following:

1.1 5 ÷ 1 = .................................. 1.2 86 ÷ 1 = ............................

1.3 359 ÷ 1 = .............................. 1.4 4 625 ÷ 1 = .......................

1.5 32 174 ÷ 1 = .........................

2. Write down a rule for dividing by 1.

BRAIN-TEASER!

If 5 ÷ 1 = 5 and 86 ÷ 1 = 86, then:

1 ÷ 5 = .........................

1 ÷ 86 = .........................

1 ÷ 359 = .........................

1 ÷ 4 625 = .........................

Thus, if 1 is the dividend, then the answer is always a...........................................

Questions & Answers

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
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
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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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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