# Multiplication

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Please work in the given blocks in order to answer the following questions:

If each of you has R85, will your group have enough money to pay the bill? .........…

How much will you tip the waiter? ......................... Why?

Let us do a bit of research.

At which restaurant do you like eating the most?

Why?

According to you, what is a ‘MUST’ for a restaurant to be successful?

Can you think of any ‘MUST NOT’S’?

Visit any two restaurants of your choice and compare their menus and prices. Write down what you will report back to the class.

## Assessment

 Learning outcomes(LOs) LO 1 Numbers, Operations and RelationshipsThe 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 standards(ASs) We know this when the learner: 1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history; 1.3 recognises and represents numbers in order to describe and compare them: 1.3.6 multiples of single-digit numbers to at least 100; 1.3.7 factors of at least any 2-digit whole number; 1.6 solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues; 1.6.1 financial (including buying and selling, profit and loss, and simple budgets); 1.8 estimates and calculates by selecting and using operations appropriate to solving problems: 1.8.1 rounding off to the nearest 5, 10, 100 or 1 000; 1.8.4 multiplication of at least whole 3-digit by 2-digit numbers; 1.8.5 division of at least whole 3-digit by 2-digit numbers; 1.9 performs mental calculations: 1.9.2 multiplication of whole numbers to at least 10 × 10; 1.10 uses a range of techniques to perform written and mental calculations with whole numbers: 1.10.1 adding and subtracting in columns; 1.10.4 doubling and halving; 1.10.5 using a calculator; 1.11 uses a range of strategies to check solutions and judge the reasonableness of solutions; 1.12 recognises, describes and uses:1.12.1 the reciprocal relationship between multiplication and division (e.g. if 5 × 3 = 15 then 15  3 = 5 and 15  5 = 3);1.12.3 The commutative, associative and distributive properties with whole numbers (the expectation is that learners should be able to use the properties and not necessarily know the names). LU 2 Patterns, functions and algebraThe learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills. We know this when the learner: 2.2 describes observed relationships or rules in own words; 2.6 determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented: verbally; 2.6.3 by number sentences.

## Memorandum

ACTIVITY 2

1. (a) 24 x 1 (b) 36 x 1

1. x 2 18 x 2

6 x 4 9 x 4

3 x 8 6 x 6

1. x 3

2.

 7 x 6 9 x 5 7 x 9 9 x 6 8 x 8; 32 x 2 9 x 8 12 x 9 6 x 8 8 x 11 12 x 8; 32 x 3

ACTIVITY 3

 20 25 30 35 40 45 60 24 30 36 42 48 54 72 28 35 42 49 56 63 84 32 40 48 56 64 72 96 36 45 54 63 72 81 108 48 60 72 84 96 108 144

BRAIN TEASERS

9. 1 x 241 : 241 (1 x 241)

Double 241 : 482 (2 x 241)

Double 482 : 964 (4 x 241

Double 964 : 1 928 (8 x 241)

615

ACTIVITY 5

1.1 (1 000 + 1 000) + (400 + 400) + (30 + 30)

2 000 + 800 + 60

= 2 860

1.2 (2 000 + 2 000) + (300 + 300) + (10 + 10) + (5 + 5)

4 000 + 600 + 20 + 10

= 4 630

2.1 (14 000 + 14 000) + (800 + 800) + (20 + 20)

28 000 + 1 600 + 40

= 29 640

2.2 (36 000 + 36 000) + (900 + 900) + (47 + 47)

72 000 + 1 800 + 94

= 73 894

3.1 = 100 x 12 3.2 = 10 x 173

= 1 200 = 1 730

BRAIN TEASERS

24 20

1. 16

96 80

3 x 192 4 x 160

Halve multiplicand

Double multiplier

ACTIVITY 6

1.1 60; 600; 6 000; 60 000

1.2 90; 900; 9 000; 90 000

1.3 150; 1 500; 15 000

1.4 260; 2 600; 26 000

Add a naught only to multiplier.

2.1 800; 8 000; 80 000

2.2 1 300; 13 000; 130 000

2.3 2 700; 27 000; 270 000

ACTIVITY 7

1. 8 x 6 6 x 8 23 x 13 13 x 23 124 x 85 85 x 124

2. (a) true

1. true

3. It does not matter in which order you multiply.

ACTIVITY 8

1. (a) 1 026

1. 14 454
2. 3 105
3. 77 844
4. 7 362

BRAIN TEASERS

(a) 4 9

1. uneven
2. 12 4

ACTIVITY 11

1.1 1 628

1.2 4 104

2.1 1 001

2 002

3 003

52

65

6 006

7 007

2.2 104

9 009

2.3 Multiplier becomes 13 times more each time.

2.4 11

111

1 111

1 234

6

123 456 7 1 111 111

1 234 567 8 11 111 111

2.5 111 111 111

1 111 111 111

ACTIVITY 12

 x 2 6 7 8 9 10 12 100 5 30 45 6 48 72 7 42 63 84 8 56 96 9 72 108 36 72 360 3 600 48 96 480 4 800 124 248 1 240 12 400

ACTIVITY 14

2.1 27 072

2.2 26 358

1. 347

x 251

___

347

17 350

69 400

______

87 097

2. 526

x 438

_____

4 208

15 780

210 400

_______

230 388

## Another brain-teaser

4

9

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
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