# 1.23 To determine the equivalence and validity of different

 Page 1 / 1

## Memorandum

2. Learner’s own method

3.1 9 080 717

3.2 8 301 883

• 6 485 185

1. 4 2. 1

3 2

1 3

2 3

1 44

8 1

## To use strategies to check solutions [lo 1.11]

1. In the previous activity you had the opportunity to use your own strategies to solve problems. From the feedback in the class you would have realised that there are many ways of adding numbers.

Work in pairs. Discuss the following methods of adding and explain to each other how the answers are calculated:

## Let’s revise!

1.1 845 908 + 25 876 + 343 621

 800 000 + 40 000 + 5 000 + 900 + 0 + 8 20 000 + 5 000 + 800 + 70 + 6 + 300 000 + 40 000 + 3 000 + 600 + 20 + 1 1 100 000 + 100 000 + 13 000 + 2 300 + 90 + 15

= 1 000 000 + (100 000 + 100 000) + 10 000 + (3 000 + 5 000) + 300 + (90 + 10) + 5

= 1 215 405

1.2

= 1 215 405

1.3

 1 1 1 2 1 8 4 5 9 0 8 2 5 8 7 6 + 3 4 3 6 2 1 1 2 1 5 4 0 5

2. Can you show your friend any other method of calculation?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3. Use any method of your choice (without a calculator) and calculate the sum of:

3.1 4 623 577 + 1 239 246 + 3 217 894

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3.2 2 851 416 + 4 981 235 + 469 232

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3.3 2 153 892 + 264 058 + 4 067 235

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

## Brain teasers!

Complete the missing numbers:

1.

 1. 2 1 3 4 1 ___ 2. ___ 7 9 1 2 3 8 9 2 ___ 7 4 ___ 2 8 1 6 1 7 5 ___ 9 2 1 1 ___ 2 3 3 ___ 1 4 1 1 9 1 0 0 ___ 7 1 + 1 ___ 9 1 2 3 + 1 4 3 0 ___ ___ ___ 1 ___ 0 8 5 9 5 8 5 8 7

## Time for self-assessment

• Tick the appropriate rectangle:
 Yes Mostly Some-times No I can investigate adding methods and evaluate them (determine whether they are correct). (LO 1.11 en LO 2.6) * I can add correctly without a calculator. (LU 1.8) * I need more exercise in addition. *

* Ask your educator to explain again and give you extra exercises.

## 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 1.11: We know this when the learner uses a range of strategies to check solutions and judge the reasonableness of solutions.

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.6: We know this when the learner determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:

2.6.3: e.g. number sentences.

what is the stm
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?
what is a peer
What is meant by 'nano scale'?
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 ?
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?
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
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
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
how can I make nanorobot?
Lily
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!