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= ......................... ÷ ..................

= ..................

DID YOU KNOW?

We can also break up the divisor into factors :

E.g. 108 ÷ 12 = 108 ÷ 4 ÷ 3 = 27 ÷ 3 = 9

OR

108 ÷ 12 = 108 ÷ 2 ÷ 6 = 54 ÷ 6 = 9

3. Calculate the following by breaking up the divisor into factors :

3.1 105 ÷ 21 = ...................................... 3.2 216 ÷ 24 = ......................................

= ...................................... = ......................................

= ...................................... = ......................................

3.3 432 ÷ 24 = ...................................... 3.4 126 ÷ 14 = ......................................

= ...................................... = ......................................

= ...................................... = ......................................

4. Work together with a friend. Look carefully at the following and then explain it to two other friends.

4.1 184 ÷ 4 = (180 + 4) ÷ 4

= (180 ÷ 4) + (4 ÷ 4)

= 45 + 1

= 46

4.2 2 515 ÷ 5 = (2 000 + 500 + 15) ÷ 5

= (2 000 ÷ 5) + (500 ÷ 5) + (15 ÷ 5)

= 400 + 100 + 3

= 503

4.3 3 672 ÷ 12 = (3 600 ÷ 12) + (72 ÷ 12)

= 300 + 6

= 306

5. Complete the following:

5.1 3 045 ÷ 15 = (3 000 + ....................) ÷ 15

= (.................... ÷ 15) + (.................... ÷ 15)

= 200 + ....................

= ....................

5.2 2 575 ÷ 25 = (2 000 + .................... + ....................) ÷ 25

= (2 000 ÷ 25) + (.................... ÷ .............) + (............. ÷ ............)

= .................... + .................... + ....................

= ....................

5.3 Can you write down your own explanation?

Activity 7:

To be able to do mental arithmetic [lo 1.9.2]

1. Let us test your mental skills again. Find the correct answer and encircle it with your pencil. Find out who or what is hidden away.

1.1 96 ÷ 12

1.2 108 ÷ 9

1.3 72 ÷ 9

1.4 42 ÷ 6

1.5 54 ÷ 6

1.6 32 ÷ 8

1.7 27 ÷ 9

1.8 66 ÷ 11

1.9 81 ÷ 9

1.10 35 ÷ 7

1.11 21 ÷ 3

1.12 ____ ÷ 6 = 9

1.13 ____ ÷ 8 = 6

1.14 ____ ÷ 6 = 12

1.15 ___ ÷ 11 = 12

1.16 ____ ÷ 9 = 5

1.17 ____ ÷ 7 = 8

1.18 Halve: 96

1.19 Halve: 134

1.20 Halve: 576

Colour the pictures in neatly so that your answers are clearly visible.

Activity 8:

To estimate and calculate by using selected computations [lo 1.8.5]

1. We have already discussed the value of estimation . Let us see again how well you can estimate. Encircle the best answer.

I ESTIMATE
a) How many 16’s are there in 35? 2 12 20
b) How many 15’s are there in 93? 6 16 60
c) How many 13’s are there in 271? 2 20 200
d) How many 25’s are there in 4 130? 27 175 750
e) How many 21’s are there in 8 565? 4 40 400

2. Now use your calculator to see whether you were spot on.

Activity 9:

To be able to solve problems in context [lo 1.6.1]

  • The following activity is a group project that you can add to your portfolio. Your educator will provide you with the necessary paper and will explain exactly what you are expected to do.
  • Divide into groups of four or five and then read the assignment closely.
  • Your group must visit at least three florists or flower vendors in your area. Your job is to determine which florist or vendor is the cheapest.

Questions & Answers

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 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
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
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
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
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
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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