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The game continues until all the digits have been replaced by 0.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

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
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
what is the stm
Brian Reply
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?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
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 ?
Bob Reply
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?
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 did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
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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