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Mathematics

Number concept

Educator section

Memorandum

1.1 5

1.2 3

1.3 8

1.4 6

2.1 (39 x 27) + 496 1 549

2.2 (23 x 18) + 852 – 256 1 010

2.3 (67 + 48); 7 705 ÷ answer 67

2.4 3 600 ÷ 30; 82 x 10; answer + answer 940

2.5 2 934 – 816 + 905 – 205 2 818

2. different solutions are possible. you are aloud to use a number more than once.

Test 1

  • 13 800; 13 750
  • 24 360; 24 375

2. 300 000 + 60 000 + 8 000 + 400 + 20 + 9

  • <
  • =
  • 20 500
  • 358 490

5. six million eight hundred twenty three thousand four hundred and seventeen

6.1 1296

6.2 6

  • 40 000
  • 6 million
  • 37 000
  • 149 000
  • 48; 56; 64; 72
  • 1; 2; 3; 4; 5; 6; 8; 12; 24
  • 11; 13; 17; 19

10.1 true

  • false
  • false
  • 114
  • 34
  • 70

11.4 6

Leaner section

Content

Activity:to calculate by selecting appropriate operations for solving problems [lo 1.8.10]

It is very important to really understand and remember the following; otherwise you will not be able to perform easy (or difficult) operations, so that you will get wrong answers!

SEQUENCE OF CALCULATIONS TAKE NOTE AND LEARN THE

FOLLOWING!

The order in which calculations are done is:

1. Brackets

2. Of

3. Division

4. Multiplication

5. Addition

6. Subtraction

The following rules are also applicable:

1. When the operation is + only or x only, e.g. 6 + 3 + 9 + 5:

work from LEFT TO RIGHT.

2. When there is only + and − , e.g. 6 − 3 + 2 − 4 + 9:

work from LEFT TO RIGHT

Thus: 6 − 3 à 3 + 2 à 5 − 4 à 1 + 9 = 10

3. When you only have x and ¸ is, e.g. 2 x 24 ¸ 4 x 10 ¸ 5:

Work from LEFT TO RIGHT

Thus: 2 x 24 à 48 ¸ 4 à 12 x 10 à 120 ¸ 5 = 24

1. Let’s see if you are able to apply the preceding knowledge correctly. Work with a partner and calculate the following:

1.1 f = 9 + 6 ¸ 2 − 7 _____________________________________________

1.2 c = 7 − (18 + 2) ¸ 5___________________________________________

1.3 k = 23 − 16 + 4 − 3___________________________________________

1.4 e = 36 ¸ 12 x 4 ¸ 2_____________________________________________

You may use your pocket calculator now, but it might not help if you do not know the correct sequence of operations. If you are uncertain, read the previous page again. Try to complete the following table correctly:

Calculate Key to sequence Answer
E.g. 15 + 6 × 2 (6 × 2) + 15 27
2.1 496 + 39 × 27
2.2 852 + (23 × 18) − 256
2.3 7 705  (67 + 48)
2.4 3 600  30 + 82 × 10
2.5 2 934 − 816 + 905 − 205

Time for peer-assessment

How well do you know the last part of the work that we have been doing? Explain the following to a partner. Your partner can then assess you by circling the relevant code:

Altogether unsure Not very sure Fairly sure Very sure
I can explain what multiples are. (LO 1.3) 1 2 3 4
I can explain what factors are. (LO 1.3) 1 2 3 4
I can explain what prime numbers are. (LO 1.3) 1 2 3 4
I can use the constant function on my pocket calculator to determine multiples. (LO 1.8) 1 2 3 4
I can explain what a palindrome is. (LO 1.3) 1 2 3 4
I can explain the properties of 1 and 0 to my friend. (LO 1.3) 1 2 3 4
I know the sequence of calculations and can apply it correctly. (LO 1.8) 1 2 3 4

Puzzles!

1. Place the numbers 1 to 9 in the diagram in such a way that all the number sentences are true.

2. Place numbers between 1 and 12 in the diagram in such a way that the

sum totals of the different sides are the same.

Test 1

1. Complete the following number patterns:

1.1 13 850 ; ________________ ; ________________ ; 13 700 ; 13 650

1.2 24 330 ; 24 345 ; ________________ ; ________________

(4)

2. Write in expanded notation:

2.1 368 429 = ____________ + ____________ + ___________ + ___________ +

____________ + ____________

(2)

3. Fill in:<;>or = :

3.1 489 653 * 498 653____________

3.2 10 x 10 x 10 x 10 * 100 000 x 10____________

(2)

4. Which number is:

4.1 350 more than 20 150? ________________________

4.2 10 000 less than 368 490? ______________________

(2)

5. Write in words:

6 832 419

(2)

6. Complete:

6.1 64 = ____________________________________

6.2 one million = 1 x 10¨______________________

(2)

7. What is the value of the digit printed in bold?

7.1 1 4 7 689________________________________________

7.2 6 823 417_______________________________________

(2)

8. Round off to the nearest 1 000:

8.1 36 842________________________________________

8.2 149 099________________________________________

(2)

9. Write down:

9.1 the multiple of 8 between 40 and 80

_____________________________________________________________________

9.2 the factors of 24

_____________________________________________________________________

9.3 the prime numbers between 10 and 20

___________________________________________________________________ (6)

10. True or False?

10.1 42 624 is a palindrome_____________________________

10.2 1 is a prime number________________________________

10.3 36 ¸ 0 = 0________________________________________

(3)

11. Calculate:

11.1 90 + 6 x 12 ¸ 3__________________________________

11.2 36 − (5 x 4) ¸ 10_________________________________

11.3 80 − 6 + 4 − 13 + 5_____________________________

11.4 8 x 5 ¸ 8 x 6 ¸ 5_________________________________

(8)

I got _______________________________ out of 35 right.

Colour in: I feel

VERY SATISFIED
HAPPY
CONCERNED
I AM ABLE TO DO BETTER

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 1.8: We know this when the learner estimates and calculates by selecting and using operations appropriate to solving problems that involve:

1.8.10: multiple operations on whole numbers with or without brackets.

Questions & Answers

Application of nanotechnology in medicine
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
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
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
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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