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See if you can learn this game by reading what the two learners said:

The game continues until all the digits have been replaced by 0.

12. Now that you have played the “place value” game, try to do this exercise. Replace the digit that has been made bold (dark) with 0. (The first two have been done for you.)

Number, bold digit to be replaced by 0 My suggestion: what to do. Calculator answer Π ρ What I should have done:
1 35 6 - 6 = 1 350 Π - -
2 519 - 200 = 2 319 ρ - 2 000 =
6 7 23
15 6 3 8
1 3 642
1 7 389
5 90
14 84 3
7 3 94

1.3 Look at the first one again. Would it be correct to say  4? Yes, that is correct: 1 35 6  4 = 1 36 0 so we have replaced the 6 with a 0!

TEST YOUR SKILLS: PLACE VALUE and DESCRIBING AND COMPARING WHOLE NUMBERS

Now that you have learnt all about the importance of place value see if you can use this know ledge to complete the following exercises:

1. Write down the number that consists of:

6 000  0  20  9

2.1 Write the largest possible whole number with the digits:

6 ; 0; 9; 2; 7

2.2 Write down the odd number immediately before 4 521.

2.3 Write down the next even number:3 008.

3. What is the value of: the 6 in 1 6 708?

4. The number 17 538 is on the screen of my calculator. How can I change the 7 to 0 by keying in one instruction and = ?

5. Write down the whole number:

5.1 that is just before 10 000

5.2 that is just after 1 000

5.3 that is greater than 998 and less than 1 000

5.4 that is between 5 009 and 5 011

6. Write down the answers:

  • 347 - 47 =
  • 347 - 37 =
  • 254 - 54 =
  • 254 - 64 =
  • 254 - 44 =

TESTING YOUR PROGRESS SO FAR

18 4 08

1. Use the number in the frame to complete the following:

  • What Number System do we use?
  • What number symbols do we use to make all our numbers? Write them all down:
  • Write down the value of the underlined figure in the frame above.

1.4 Write down the value of the 8.

  1. on the left ………………… b) on the right.........…...............

1.5 What number will you have if you leave out the “0”?

1.6 Add 4 to the number in the frame 18 408 + 4 =

1.7 Write the number in the frame in expanded notation:

1 × ………………. + 8 × ………………. + 4 × ……………..+ ………… × 10 + …………

1.8 You are counting in 2s. Begin with the number in the frame and write down the next 5 numbers:

2. Write down the missing numbers in this sequence:

18 408; 18 508; 18 608; 18 708; ……………..; …………………..; …………………

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:
1.1 count forwards and backwards in a variety of intervals (including 2s; 3s; 5s; 10s; 25s; 50s and 100s) between 0 and 10 000;
1.2 describes and illustrates various ways of counting in different cultures (including local) throughout history;
1.3 recognizes and represents the following numbers in order to describe and compare them:1.3.1 whole numbers to at least 4-digit numbers;
1.4 recognizes the place value of digits in whole numbers to at least 4-digit numbers;

Memorandum

ACTIVITY 1: PLACE VALUE

1. 1 000 + 100 + 10 + 1

2. 1 000 + 300 + 20 + 6 = 1 326

3. 7 834 = 7 000 + 800 + 30 + 4

2 056 = 2 000 + 0 + 50 + 6

8 503 = 8 000 + 500 + 0 + 3

1 940 = 1 000 + 900 + 400 + 0

16 473 = 10 000 + 6 000 + 400 + 70 + 3

25 809 = 20 000 + 5 000 + 800 + 0 + 9

4. Note: using 2; 8; 4; 1 there can be many numbers; room has been given for 4 numbers only, so all

THOUSANDS1 000 HUNDREDS100 TENS10 UNITS1
2 8 4 1
2 4 8 1
2 1 8 4
2 8 1 4
2 4 1 8
2 1 4 8
8 4 2 1
8 4 1 2
8 2 4 1
8 2 1 4
8 1 2 4
8 1 4 2
4 8 2 1
4 8 1 2
4 2 8 1
4 2 1 8
4 1 8 2
4 1 2 8
1 8 2 4
1 8 4 2
1 4 8 2
1 4 2 8
1 2 8 4
1 2 4 8

Possibly not all learners will notice that there could be all these numbers, but some learners are sure to do so. This could start valuable discussion. The largest possible number is 8 421. The smallest is 1 248.

4.1 Again only 4 steps have been provided. Check that their answers are in descending order, e.g. 8 421; 4 821; 2 841; 1 248

Note: it is not necessary for the learners to put all the possible numbers into descending order; four numbers are sufficient to show that they understand the meaning of descending order.

4.2 Again, four numbers are sufficient to show that the learner understands the meaning of ascending order. Please check each learner’s answers.

E.g.: 1 248; 2 148; 4 218; 8 421

4.3 5 069; 6 059; 6 095; 9 065; 9 506

  • 8 513; 8 315; 5 318; 3 851; 1 853
  • 1; 3; 5; 7; 9; 11; 13; 15

TEST YOUR KNOWLEDGE: odd and even numbers

1. 2 802; 2 894; 2 806; 2 808; 2 810

2. 9 999

3. 3 000

6. LARGER AND SMALLER ;<; =

6.1 (a)<(b) = c)  (d)<

  • 1 480

7.

Number Operator Answer
58 X 100 5 800
145 X 10 1 450
309 X 10 3 090
20  10 2
1 000 X 10 10 000
520  10 52
1 690  10 169
1 000  100 10
10 000  10 1 000

9. 3 000; 8 000

20; 10 000

10.

7 374 7 000 –70 = 6 930
6 995 9 00 – 90 = 810
3 023 3 000 – 3 = 2 997
5 519 5 000 – 500 = 4 500
2 454 400 –4 = 396
10 010 10 000 – 10 =9 990

11. Game

12. The first two are examples:

Number, bold digit to be replaced by 0 What to do Calculator answer
1 35 6 - 6or: + 4 1 3501 360
2 519 - 200 2 319 × - 2 000 =
6 7 23 - 700or: + 300 6 0237 023
15 6 3 8 - 30or: + 70 15 60815 708
1 3 642 -10 000or: + 90 000 3 642103 642
1 7 389 - 7 000or: + 3 000 10 38920 389
5 90 - 500or: + 500 901 090
14 84 3 - 3or: + 7 14 84014 850
7 3 94 - 300or: + 700 7 0948 094

13. Yes

TEST YOUR SKILLS: PLACE VALUE

  1. 6 029
  • 97 620 2.2 4 519 2.3 3 010

3. 6 000

  1. - 7 000 of + 3 000
  • 9 999 5.2 1 001
  • 999 5.4 5 010
  • 300
  • 310
  • 200
  • 190
  • 210

TESTING YOUR PROGRESS SO FAR

  • Decimal
  • 0; 1; 2; 3; 4; … 9
  • 400
  • (a) 8 000 (b) 8
  • 1 848
  • 18 412
  • 1 x 10 000 + 8 x 1 000 + 4 x 100 + 0 + 8
  • 18 410; 18 412; 18414; 18 416; 18 418

2. 18 808; 18 908; 19 008

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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
why?
Adin
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?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
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
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
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
Read about ancient clocks like_ hour glass, water clock and sun dial for a quiz and hand on Activity in the class
Neha Reply

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Source:  OpenStax, Mathematics grade 4. OpenStax CNX. Sep 18, 2009 Download for free at http://cnx.org/content/col11101/1.1
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