diff options
Diffstat (limited to 'Save_Mathematics/P6/map611m11/map611m11a02/source.txt')
| -rw-r--r-- | Save_Mathematics/P6/map611m11/map611m11a02/source.txt | 528 |
1 files changed, 0 insertions, 528 deletions
diff --git a/Save_Mathematics/P6/map611m11/map611m11a02/source.txt b/Save_Mathematics/P6/map611m11/map611m11a02/source.txt deleted file mode 100644 index a06a319..0000000 --- a/Save_Mathematics/P6/map611m11/map611m11a02/source.txt +++ /dev/null @@ -1,528 +0,0 @@ -<p> - <span style="font-weight: bold;"> - Guided Practice. - <br /> - <br /> - </span> - Example1: The Highest Common Devisor. - <br /> - <br /> - a. Find the devisors of 24. - <br style="font-weight: bold;" /> - <br style="font-weight: bold;" /> - <span style="font-weight: bold;"> - Solution: - </span> - <br /> - 1;2;3;4;6;8;12and 24 because 24/1=24 ;24/2=12; 24/3=8; 24/4=6; 24/6=4;24/8=3; 24/12=2; 24/24=24 thus the devisors of 24 are 8 which are: 1;2;3;4;6;8;12and 24. - <br /> - <br /> - b. Find the devisors of 54. - <br style="font-weight: bold;" /> - <br style="font-weight: bold;" /> - <span style="font-weight: bold;"> - Solution: - </span> - <br /> - 1;2;3;6;9;18;27 and 54 because 54/1=54; 54/2=27;54/3=18; 54/9=6; 54/18=3; 54/27=2; 54/54=1 - <br /> - thus the devisors of 54 are 8 which are 1;2;3;6;9;18;27 and 54 - <br /> - <br /> - Example2: Find the Highest Common devisor of 24 and 54 - <br /> - <br /> - <span style="font-weight: bold;"> - Solution: - </span> - <br /> - <br /> - <span style="font-weight: bold;"> - Method 1: - </span> - <br /> - a) Find the factors of 24= - <span style="font-weight: bold;"> - 1;2;3 - </span> - ;4; - <span style="font-weight: bold;"> - 6 - </span> - ;8;12;24 - <br /> - b) Find the factors of 54= - <span style="font-weight: bold;"> - 1;2;3;6 - </span> - ;9;27;54 - <br /> - <br /> - The Common Devisors of 24and 54 aree 1;2;3 and 6. - <br /> - so, the highest Common Devisor of 24 and 54 is 6 - <br /> - <br /> - <span style="font-weight: bold;"> - Methode 2: - </span> - <br /> - Deviding by Lowest Common devisor. -</p> -<table border="1" width="100%"> - <tbody> - <tr> - <td width="33%" valign="top"> - Number1 - <br /> - </td> - <td width="33%" valign="top"> - Number2 - <br /> - </td> - <td width="33%" valign="top"> - Common devisors - <br /> - </td> - </tr> - <tr> - <td width="33%" valign="top"> - 24 - <br /> - </td> - <td width="33%" valign="top"> - 54 - <br /> - </td> - <td width="33%" valign="top"> - 2 - <br /> - </td> - </tr> - <tr> - <td width="33%" valign="top"> - 12 - <br /> - </td> - <td width="33%" valign="top"> - 27 - <br /> - </td> - <td width="33%" valign="top"> - 3 - <br /> - </td> - </tr> - <tr> - <td style="vertical-align: top;"> - 4 - <br /> - </td> - <td style="vertical-align: top;"> - 9 - <br /> - </td> - <td style="vertical-align: top;"> - <br /> - </td> - </tr> - </tbody> -</table> -<p> - <br /> - The Higheest Common Devidor is 2*3=6 - <br /> - <br /> - Example3: Find the HCD of this set of numbers. - <br /> - 24;36;60 and 96 - <br /> - <br /> - <span style="font-weight: bold;"> - Solution: - </span> - <br /> - Methode 1: - <br /> - a) The factors of 24= - <span style="font-weight: bold;"> - 1;2;3;4;6;8;12 - </span> - ;24 - <br /> - b) The factors of 36= - <span style="font-weight: bold;"> - 1;2;3;4;6 - </span> - ;9; - <span style="font-weight: bold;"> - 12 - </span> - ;18;36 - <br /> - c) The factors of 60 = - <span style="font-weight: bold;"> - 1;2;3;4 - </span> - ;5; - <span style="font-weight: bold;"> - 6; - </span> - 10; - <span style="font-weight: bold;"> - 12 - </span> - ;15;20;30;60 - <br /> - d) The factors of 96= - <span style="font-weight: bold;"> - 1;2;3;4;6 - </span> - ;8; - <span style="font-weight: bold;"> - 12; - </span> - 16;24;32;48;96 - <br /> - <br /> - The common devisors of 24;36;60 and 96 are 1;2;3;4;6;12 - <br /> - The highest Common Devidor is 12. - <br /> - <br /> - Methode 2: - <br /> - <br /> -</p> -<table border="1" width="100%"> - <tbody> - <tr> - <td width="20%" valign="top"> - Number1 - <br /> - </td> - <td width="20%" valign="top"> - Number2 - <br /> - </td> - <td width="20%" valign="top"> - Number3 - <br /> - </td> - <td width="20%" valign="top"> - Number4 - <br /> - </td> - <td width="20%" valign="top"> - Common Devisors - <br /> - </td> - </tr> - <tr> - <td width="20%" valign="top"> - 24 - <br /> - </td> - <td width="20%" valign="top"> - 36 - <br /> - </td> - <td width="20%" valign="top"> - 60 - <br /> - </td> - <td width="20%" valign="top"> - 96 - <br /> - </td> - <td width="20%" valign="top"> - 2 - <br /> - </td> - </tr> - <tr> - <td width="20%" valign="top"> - 12 - <br /> - </td> - <td width="20%" valign="top"> - 18 - <br /> - </td> - <td width="20%" valign="top"> - 30 - <br /> - </td> - <td width="20%" valign="top"> - 48 - <br /> - </td> - <td width="20%" valign="top"> - 2 - <br /> - </td> - </tr> - <tr> - <td width="20%" valign="top"> - 6 - <br /> - </td> - <td width="20%" valign="top"> - 9 - <br /> - </td> - <td width="20%" valign="top"> - 15 - <br /> - </td> - <td width="20%" valign="top"> - 24 - <br /> - </td> - <td width="20%" valign="top"> - 3 - <br /> - </td> - </tr> - <tr> - <td width="20%" valign="top"> - 2 - <br /> - </td> - <td width="20%" valign="top"> - 3 - <br /> - </td> - <td width="20%" valign="top"> - 5 - <br /> - </td> - <td width="20%" valign="top"> - 6 - <br /> - </td> - <td width="20%" valign="top"> - <br /> - </td> - </tr> - </tbody> -</table> -<p> - <br /> - The Highest Common Devidor is: 2*2*3=12 - <br /> - <br /> - <span style="font-weight: bold;"> - Notes to create: - </span> - To find the HCD , first ffind the devisors of each numbe, list the commonn devisors and the take the highest(greatest ) or devide by lowest devisor continue to devide until when there is no common devisor other than one and mulltipply the divisors to find the HCD. - <br /> - <br /> - <span style="font-weight: bold;"> - Notice: - </span> - A devisor or factor is a number which devids another. - <br /> - <br /> - Example3: Find the multiples of 5 and of 11 - <br /> - <br /> - <span style="font-weight: bold;"> - SOLUTION: - </span> - <br /> - <br /> - a) The multiples of 5 are: 5;10;15;20;25;30;35;40;........ - <br /> - b) The multiplees of 11 are: 11;22;33;44;55;66;77;........ - <br /> - <br /> - <span style="font-weight: bold;"> - Notes to create: - </span> - The multiples of a number are obtained by multiplying that number by the countinng numbers by starting at one. - <br /> - <br /> - Example4: Find the multiples of 20 less than 90 - <br /> - <br /> - <span style="font-weight: bold;"> - SOLUTION: - </span> - <br /> - <br /> - 20*1; 20*2; 20*3; 20*4; 20*5 - <br /> - The multiples of 20 ={20; 40; 60; 80} - <br /> - <br /> - Example5: Find the Lowest Common Multiples(LCM) of 6 and 9 less than 40. - <br /> - a) Multiples of 6=6*1; 6*2; 6*3; 6*4; 6*5; 6*6={6; 12;18; 24; 36} - <br /> - b) Multiples of 9=9*1; 9*2; 9*3; 9*4={9; 18; 36} - <br /> - <br /> - The common multiples of 6 and 9 are 18 and 36 - <br /> - Thus the Lowest Common Multiples of 6 and 9 is 18. - <br /> - <br /> - Example 6: Find the LCM of tthis set of numbers. - <br /> - 12; 28 and 42. - <br style="font-weight: bold;" /> - <br style="font-weight: bold;" /> - <span style="font-weight: bold;"> - SOLUTION: - </span> - <br /> - a) The multiples of 12=12*1; 12*2; 12*3; 12*4; 12*5; 12*6; 12*7; 12*88= - <br /> - {12; 24; 36; 48; 60; 72; - <span style="color: #ff0000;"> - 84 - </span> - ,........} - <br /> - <br /> - b)) The multipples of 28=28*1; 28*2; 28*3 ; 28*4; 28*5; 28*6;.....= - <br /> - {28; 46; - <span style="color: #ff0000;"> - 84 - </span> - ;.......} - <br /> - <br /> - c) The multiples of 42=42*1; 42*2; 42*3; 42*4;={42; - <span style="color: #ff0000;"> - 84 - </span> - ; ........} - <br /> - <br /> - The Lowest Common Multiples of 12;28 and 42 is 84 - <br /> - <br /> - <span style="font-weight: bold;"> - Notes to create: - </span> - To fid the Lowest Common Multiple, you list the common multiples and then you take the Lowest. - <br /> - <br /> - Example 7: What are the prime numbers among the following and why. - <br /> - 1,4,2,7,9,27,17,107,108. - <br style="font-weight: bold;" /> - <br style="font-weight: bold;" /> - <span style="font-weight: bold;"> - SOLUTION: - </span> - <br /> - The prime numbers are {1,2,7,17,107} because you can not find any number other than one and the number itself which can devide thay number. - <br /> - <br /> - Example 8: Find the prime ffactors of 36 and write 36 as a product of prime factors. - <br /> - <br style="font-weight: bold;" /> - <span style="font-weight: bold;"> - SOLUTION: - </span> - <br /> - <br /> -</p> -<table border="1" width="100%"> - <tbody> - <tr> - <td width="50%" valign="top"> - Number - <br /> - </td> - <td width="50%" valign="top"> - Devisor - <br /> - </td> - </tr> - <tr> - <td width="50%" valign="top"> - 36 - <br /> - </td> - <td width="50%" valign="top"> - 2 - <br /> - </td> - </tr> - <tr> - <td width="50%" valign="top"> - 18 - <br /> - </td> - <td width="50%" valign="top"> - 2 - <br /> - </td> - </tr> - <tr> - <td width="50%" valign="top"> - 9 - <br /> - </td> - <td width="50%" valign="top"> - 3 - <br /> - </td> - </tr> - <tr> - <td width="50%" valign="top"> - 3 - <br /> - </td> - <td width="50%" valign="top"> - 3 - <br /> - </td> - </tr> - <tr> - <td style="vertical-align: top;"> - 1 - <br /> - </td> - <td style="vertical-align: top;"> - <br /> - </td> - </tr> - </tbody> -</table> -<p> - <br /> - The prime factors of 36 are 2 and 3 - <br /> - therefore 36=2**2*3*3 - <br /> - 36=2 - <sup> - 2 - </sup> - *3 - <sup> - 2 - </sup> - <sup> - </sup> - <sup> - <br /> - <br /> - </sup> - Notes to create: To find the prime factors of number, you devide tthat number using prime numbers only by starting at 2. - <sup> - <br /> - <br /> - </sup> - The prime factors are presented as a product of prime fators or in power form. - <sup> - <br /> - <br /> - </sup> -</p>
\ No newline at end of file |