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Mathematics

Multiplication

Educator section

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

Leaner section

Content

Activity: to use a range of techniques to perform calculations [lo 1.10.3]

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? _________________________

Prove your answer!

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

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
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
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
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what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
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what is system testing?
AMJAD
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how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
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Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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