# 1.19 To calculate by selecting operations appropriate to solving

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## Memorandum

1.1 3 272 + 128 = 3 400

1 154 + 136 = 1 290

1 103 + 97 = 1 200

SUM = 5 890

1.2 138 + 622 = 760

259 + 11 011 = 11 270

235 + 25 = 4 260

SUM: = 16 290

2.1 Wrong: 640 + 360 + 5 + 2 – 2 = 1 005

2.2 Wrong: 2 500 + 360 = 2 880

Brain Teaser

1. 41 186 + 23 880 + 12 = 65 078

2. 758 817 + 100 + 118 200 – 4 = 875 113

Various other possibilities

## Do you still remember?

Addition is easier when we GROUP numbers.

Look carefully at the following example:

37 + 28 + 12 + 16 + 13 + 44

If we group the numbers they look like this: 37 + 13 = 50

28 + 12 = 40

44 + 16 = 60

SUM = 150

Understand? We group the numbers like this because we want to “complete” the tens, so that it is easier to add.

1. Group the following numbers so that you can add them more easily:

1.1 3 272 ; 1 154 ; 97 ; 128 ; 136 ; 1 103

_________________ + _________________ = _________________

_________________ + _________________ = _________________

_________________ + _________________ = _________________

SUM = _________________

1.2 138 ; 259 ; 4 235 ; 25 ; 11 011 ; 622

_________________ + _________________ = _________________

_________________ + _________________ = _________________

_________________ + _________________ = _________________

SUM = _________________

2. Work with a friend and determine whether the answers of the following calculations are correct. If they are not, indicate the error.

2.1 638 + 367 = 640 + 360 – 5 = 995

2.2 2 496 + 364 = 2 600 + 360 = 2 960

## Brain teaser!

You are supposed to complete the following with a calculator, but the 9 on your calculator doesn’t work! How will you solve the problem? Write down everything you key in and calculate the answer:

1. 41 186 + 23 892

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

2. 756 917 + 118 196

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

## Time for self-assessment

How do you feel about the work so far? Please give us some indication of how you feel about the work that we have completed by now. Make a tick in the appropriate column:

 Not at all Fairly well Well Really well I know what “sum of” means. _______ _______ _______ _______ I can explain the word “inverse”. _______ _______ _______ _______ I can group numbers to add them more easily. (LO1.8) _______ _______ _______ _______

## Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.8: We know this when the learner estimates and calculates by selecting and using operations appropriate to solving problems that involve:

1.8.2: addition and subtraction of whole numbers.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
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?
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
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
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?
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 ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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