# 2.6 To use a range of techniques to perform calculations

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## Memorandum

1.1 9 x 25 ÷9 x 100) ÷ 4

1.2 368 x 25 ÷368 x 100) ÷ 4

1.3 16 x 25 ÷16 x 100) ÷ 4

2. 2.1 ÷324 x 100) ÷ 4

32 400 ÷ 4

8 100

2.2 ÷1 436 x 100) ÷ 4

143 600 ÷ 4

35 900

2.3 ÷26 844 x 100) ÷ 4

2 684 400 ÷ 4

671 100

## Brain teasers

yes

÷1 436 ÷ 4) x 100

359 x 100

35 900

3.1

 375 625 1 125

3.2

 3 000 _______ 375 5 000 _______ 625 9 000 _______ 1 125

4. Answer the same.

5. 1 000

8

divide

8

1 000

multiplication

6.1 36 x 1 000 1 056 000 ÷ 8

36 000 132 000

6.2 132 x 1 000 ÷1 056 x 1 000 ÷ 8

132 000 132 000

## Brain teasers

x 1 000  2 / x 5 x 100 / 2 x 1 000

## To determine output values for given input values [lo 2.3.3]

It is very important to develop strategies for arriving at answers quickly to make life easier in Grade 6. Let us take a look at some bright ideas to use when we do multiplication!

REMEMBER!

When you multiply by 25 you can first multiply by 100 and

then divide by 4!

1. Can you balance the following scales by filling in the correct number?

1.1

1.2

1.3

2. Use the above method to calculate:

2.1 324 x 25 =

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

2.2 1 436 x 25 =

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

2.3 26 844 x 25 =

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

BRAIN-TEASER!

Can I also first divide by 4 and then multiply by 100? _________________________

1 436 x 25 =_____________________________________

=___________________________________________

=___________________________________________

3. Look carefully at the following example and then complete the tables:

 3.1 1 × 125 125 3 × 125 _____ 5 × 125 _____ 9 × 125 _____
 3.2 1 × 1 000 1 000 ÷ 8 25 3 × 1 000 _____ ÷ 8 _____ 5 × 1 000 _____  8 _____ 9 × 1 000 _____  4 _____

4. Compare the answers in the tables. What do you realise?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

5. Complete the following:

REMEMBER:

If I have to multiply by 125 I can first multiply by ____________________________

and then __________________ the answer I get by ___________________________

OR I can first divide the number by_________________________________ and then

____________________________ the answer by _____________________________

6. See if you can apply this method!

6.1 288 x 125 = ÷288  8) x 1 000

= _______________________

= _______________________

or

288 x 125 = ÷288 x 1 000) ÷ 8

= _______________________

= _______________________

6.2 1 056 x 125 = ÷1 056 ÷ 8) x 1 000 or _____________________

= _______________________

= _______________________

BRAIN-TEASER!

WITHOUT using a calculator, how would you multiply a number by 500 in two seconds?

## 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 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.3: building up and breaking down numbers.

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 2.3: We know this when the learner determines output values for given input values, or input values for given output values, using:

2.3.3: tables.

#### Questions & Answers

how can chip be made from sand
is this allso about nanoscale material
Almas
are nano particles real
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
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