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Mathematics

Grade 8

The number system

(natural and whole numbers)

Module 1

Different kinds of numbers

CLASS ASSIGNMENT 1

  • Discover the number system step by step....

1. General: Different kinds of numbers

Provide an example of each of the following numbers:

  • Natural numbers N = {..................................................}
  • Counting numbers N 0 = {..................................................}
  • Integers Z+ = {..................................................}

Z- = {..................................................}

  • Rational numbers Q = {..................................................}
  • Irrational numbers Q’ = {..................................................}
  • Real numbers R = {..................................................}

2. Natural numbers

Prime numbers ={..................................................} Compound numbers ={..................................................}
Definition: ........................................................................................…………..................................................…………..................................................………….......... Definition: ................................................................…………..........................................................................…………..................................................…………..........

Prime numbers + Compound numbers = Natural numbers

3. Divisibility rules

Do you recall that

In each instance, select a number that is divisible by the given divisor and try to deduce a rule for each instance.

Number Divisor Divisibility rule
3.1 2
3.2 3
3.3 4
3.4 5
3.5 6
3.6 8
3.7 9
3.8 10
3.9 11

4. Determine by which numbers (1.3.1 - 1.3.9) 61 226 is divisible and provide a reason for each.

5. Explain what you understand the following terms to mean:

5.1 Multiple:

5.2 Factor:

5.3 Prime number:

5.4 Prime factor:

5.5 Even numbers and odd numbers:

  • How do you determine the factors of a number? Look at the following.....e.g. F 24 = {1; 2; 3; 4; 6; 8; 12; 24} 1 x 24; 2 x 12; 3 x 8; 4 x 6

6. Determine the factors of 48.

7. Write out all the multiples of 6 between 23 and 56.

8. Determine the prime numbers between 17 and 78.

9 Determine all odd compound numbers between 16 and 50.

10 Write down all the factors of 50 that are prime numbers.

11. Write down all the factors of 50 that are compound numbers.

12. Explain: Cube numbers. Write down the first 6 cube numbers.

13. Explain : Square numbers. Write down the first 10 square numbers.

HOMEWORK ASSIGNMENT 1

1. Write the definition for each of the following:

1.1 Rational number:

1.2 Prime number:

1.3 Compound numbers:

1.4 Prime factors:

2. Select from {0; 1; 2; 3; 4; ... ; 36} and write down:

2.1 The first two compound numbers

2.2 Odd numbers that are not prime numbers

2.3 Multiples of 6

2.4 Factors of 12

2.5 Prime factors of 12

2.6 Factors of 36

3. Which of the following numbers - 9 / 3 ; 7 / 0 ; 0; 3; -9; 16; 2 1 / 3 are:

3.1 Integers?

3.2 Rational numbers?

3.3 Non-real numbers?

4. Tabulate the following:

4.1 Natural numbers<5 ...........................................................................

Questions & Answers

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
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 is the latest information on a no technology how can I find it
William
currently
William
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
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Source:  OpenStax, Mathematics grade 8. OpenStax CNX. Sep 11, 2009 Download for free at http://cnx.org/content/col11034/1.1
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