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Mathematics

Number concept, addition and subtraction

Addition

Educator section

Memorandum

1.1 xi

1.2 xv

1.3 watches

2.

2.1 XLII

2.2 XCIX

2.3 MMDL

3.

3.1 608

3.2 65

3.3 3 257

4. Will differ from year to year

Brain teaser

1. Move “minus” to just before “x” so that sum reads 1 x 1 = 1

2. Take one away from = and add to – so that sum reads 1 = 111 – 11

Leaner Section

Content

Activity: to describe and illustrate different cultures' ways of writing [lo 1.2]

  • Can you deduce from this how the Romans would have written 11?

_____________________________________________________________________

1.2 How would they have written 15?

_____________________________________________________________________

1.3 Where are these Roman numerals still used nowadays?

_____________________________________________________________________

  • Look carefully at the following:
We: 10 20 30 40 50 60 70 80 90 100
The Romans: X XX XXX XL L LX LXX LXXX XC C
We: 100 200 300 400 500 600 700 800 900 1 000
The Romans: C CC CCC CD D DC DCC DCCC CM M

2. Use the information given above and calculate the following.

Write your answers in Roman numerals:

  • 40 + 2 ________________________________________________________

2.2 90 + 9 ________________________________________________________

2.3 2 000 + 500 + 50 _______________________________________________

3. You have just practised writing like the Romans. Below are more examples of how they would write certain numbers. Can you write them in ordinary (our) numbers?

3.1 DCVIII ________________________________________________________

3.2 LXV ________________________________________________________

3.3 MMMCCLVII __________________________________________________

4. Write our present date in Roman numerals.

BRAIN TEASER

The matches below have been set out in Roman numerals, but the answers are incorrect. Can you “fix” each sum, so that the answer is correct, by moving only ONE match?

TIME FOR SELF-ASSESSMENT

Evaluate yourself on a scale of 1 - 4 by just drawing a circle around the figure that is true about yourself.

I can Not at all Some-times Most of the time Always
Use the constant function of my pocket calculator for repeated addition 1 2 3 4
Write down Roman numerals for our numbers 1 2 3 4
Add and give the answer in Roman numerals 1 2 3 4
Write Roman numerals in ordinary numbers 1 2 3 4

However, the Roman counting system gets very complicated. The decimal system (OR METRIC SYSTEM) that we use is more practical. Let us consider the different ways in which we can add.

DO YOU REMEMBER?

  • The answer of an addition sum is called the SUM OF THE TWO NUMBERS.
  • The INVERSE (reverse) calculation of addition is SUBTRACTION.

DID YOU KNOW?

The order in which numbers are added makes no difference to the answer.

For example: 5 + 4 = 4 + 5
9 = 9
As well as: (16 + 14) + 12 = 16 + (14 + 12)
30 + 12 = 16 + 26
42 = 42

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 1.2: We know this when the learner describes and illustrates various ways of writing numbers in different cultures (including local) throughout history.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
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Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
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Adin
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Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
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nano basically means 10^(-9). nanometer is a unit to measure length.
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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
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
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
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?
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
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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