<< Chapter < Page Chapter >> Page >

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

how can chip be made from sand
Eke Reply
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Mathematics grade 6' conversation and receive update notifications?

Ask