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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

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s. Reply
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Devang Reply
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s.
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Abhijith Reply
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
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SUYASH Reply
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SUYASH
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s. Reply
of graphene you mean?
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Ebrahim
in general
s.
Graphene has a hexagonal structure
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abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
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Porter
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I'm interested in nanotube
Uday
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Ramkumar Reply
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Sravani Reply
what is system testing?
AMJAD
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Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
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AMJAD
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AMJAD
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Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
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Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
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I'm interested in Nanotube
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this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
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At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
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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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